From f8b5489de01a4a41c6cf407f2c645f48fa054d58 Mon Sep 17 00:00:00 2001
From: David Seus <david.seus@ians.uni-stuttgart.de>
Date: Wed, 22 May 2019 14:15:47 +0200
Subject: [PATCH] clean repo

---
 .gitignore                                    |   24 +-
 LDDsimulation/LDDsimulation.py                |    6 +-
 .../RR-multi-patch-with-gravity.py            |   40 +-
 .../domain_marker.pvd                         |    6 -
 .../domain_marker000000.vtu                   |   18 -
 .../global_mesh.pvd                           |    6 -
 .../global_mesh000000.vtu                     |   15 -
 .../interface_marker_global.pvd               |    6 -
 .../interface_marker_global000000.vtu         |   18 -
 ...ambda15_Lw0.25_L2_errornorms_over_time.csv |    7 -
 ..._gravitiy_True_lambda15_Lw0.25_solution.h5 |  Bin 6745080 -> 0 bytes
 ...ravitiy_True_lambda15_Lw0.25_solution.xdmf | 6041 -----------------
 ...da15_Lw0.25solution_iterations_at_t0.00.h5 |  Bin 2071576 -> 0 bytes
 ...15_Lw0.25solution_iterations_at_t0.00.xdmf | 2114 ------
 ...sequent_iteration_errors_at_time0.0000.csv |  117 -
 ...ambda15_Lw0.25_L2_errornorms_over_time.csv |    7 -
 ..._gravitiy_True_lambda15_Lw0.25_solution.h5 |  Bin 6805464 -> 0 bytes
 ...ravitiy_True_lambda15_Lw0.25_solution.xdmf | 6041 -----------------
 ...da15_Lw0.25solution_iterations_at_t0.00.h5 |  Bin 2093008 -> 0 bytes
 ...15_Lw0.25solution_iterations_at_t0.00.xdmf | 2114 ------
 ...sequent_iteration_errors_at_time0.0000.csv |  117 -
 ...ambda15_Lw0.25_L2_errornorms_over_time.csv |    7 -
 ..._gravitiy_True_lambda15_Lw0.25_solution.h5 |  Bin 6664568 -> 0 bytes
 ...ravitiy_True_lambda15_Lw0.25_solution.xdmf | 6041 -----------------
 ...da15_Lw0.25solution_iterations_at_t0.00.h5 |  Bin 2043000 -> 0 bytes
 ...15_Lw0.25solution_iterations_at_t0.00.xdmf | 2114 ------
 ...sequent_iteration_errors_at_time0.0000.csv |  117 -
 ...ambda15_Lw0.25_L2_errornorms_over_time.csv |    7 -
 ..._gravitiy_True_lambda15_Lw0.25_solution.h5 |  Bin 6724952 -> 0 bytes
 ...ravitiy_True_lambda15_Lw0.25_solution.xdmf | 6041 -----------------
 ...da15_Lw0.25solution_iterations_at_t0.00.h5 |  Bin 2064432 -> 0 bytes
 ...15_Lw0.25solution_iterations_at_t0.00.xdmf | 2114 ------
 ...sequent_iteration_errors_at_time0.0000.csv |  117 -
 ...-exact-solution-over-time-with-gravity.dep |    6 +-
 ...-exact-solution-over-time-with-gravity.png |  Bin 93897 -> 244572 bytes
 ...es20_dt0.01_exact_solution_error_norms.tex |   20 +-
 .../meshres20_dt0.01_subsequent_errors.tex    |   18 +-
 TP-TP-layered-soil-case/TP-TP-layered_soil.py |  546 ++
 layered-soil-case/layered_soil.py             |  134 -
 39 files changed, 613 insertions(+), 33366 deletions(-)
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/domain_marker.pvd
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/domain_marker000000.vtu
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/global_mesh.pvd
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/global_mesh000000.vtu
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/interface_marker_global.pvd
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/interface_marker_global000000.vtu
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25_solution.h5
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25_solution.xdmf
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.h5
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.h5
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.h5
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.h5
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.h5
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.h5
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.h5
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf
 delete mode 100644 RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
 create mode 100755 TP-TP-layered-soil-case/TP-TP-layered_soil.py
 delete mode 100755 layered-soil-case/layered_soil.py

diff --git a/.gitignore b/.gitignore
index ad486ad..6f6cda6 100644
--- a/.gitignore
+++ b/.gitignore
@@ -53,19 +53,23 @@
 *.svg
 *.fig
 *.md5
+*.xdmf
+*.h5
+*.dep
+*.csv 
 
 # Ignoriere Bilder und Graphiken sowie Videos und Musik
-#*.png
-#*.jpg
-#*.jpeg
-#*.eps
+*.png
+*.jpg
+*.jpeg
+*.eps
 *.svg
 *.pgf
-#*.gif
-#*.avi
-#*.mp4
-#*.mp3
-#*.xcf
+*.gif
+*.avi
+*.mp4
+*.mp3
+*.xcf
 
 # always consider files containing source code regardless of their name
 !*.cc
@@ -78,5 +82,7 @@
 
 # Directories
 demo/
+output/
+plots/
 FEniCS_Repository/
 __pycache__/
diff --git a/LDDsimulation/LDDsimulation.py b/LDDsimulation/LDDsimulation.py
index a9ddac2..9af6a2a 100644
--- a/LDDsimulation/LDDsimulation.py
+++ b/LDDsimulation/LDDsimulation.py
@@ -355,6 +355,9 @@ class LDDsimulation(object):
         # r_cons.close()
         # energy.close()
         df.list_timings(df.TimingClear.keep, [df.TimingType.wall, df.TimingType.system])
+        with open(self.output_dir+"timings.txt", "w") as timefile:
+            timefile.write(df.timings)
+            
         df.dump_timings_to_xml(self.output_dir+"timings.xml",df.TimingClear.keep)
 
 
@@ -867,7 +870,7 @@ class LDDsimulation(object):
                                     the interface defined by the dolfin points in
                                     interface_def_points
         """
-        if not interface_def_points:
+        if interface_def_points is None:
             interface_def_points = self.interface_def_points
         else:
             # overwrite what has been set by init()
@@ -895,7 +898,6 @@ class LDDsimulation(object):
             # marker value gets internally set to global_index+1.
             # The reason is that we want to mark outer boundaries with the value 0.
             self.interface[num].mark(self.interface_marker, self.interface[num].marker_value)
-            # print("Global interface vertices:")
             self.interface[num].init_interface_values(self.interface_marker, self.interface[num].marker_value)
             # print(self.interface[num])
 
diff --git a/RR-multi-patch-plus-gravity/RR-multi-patch-with-gravity.py b/RR-multi-patch-plus-gravity/RR-multi-patch-with-gravity.py
index 7916f0f..d1375f3 100755
--- a/RR-multi-patch-plus-gravity/RR-multi-patch-with-gravity.py
+++ b/RR-multi-patch-plus-gravity/RR-multi-patch-with-gravity.py
@@ -9,6 +9,24 @@ import LDDsimulation as ldd
 import functools as ft
 # import ufl as ufl
 
+# init sympy session
+sym.init_printing()
+
+# ----------------------------------------------------------------------------#
+# ------------------- MESH ---------------------------------------------------#
+# ----------------------------------------------------------------------------#
+mesh_resolution = 30
+# ----------------------------------------:-------------------------------------#
+# ------------------- TIME ---------------------------------------------------#
+# ----------------------------------------------------------------------------#
+timestep_size = 0.01
+number_of_timesteps = 500
+# decide how many timesteps you want analysed. Analysed means, that we write
+# out subsequent errors of the L-iteration within the timestep.
+number_of_timesteps_to_analyse = 11
+starttime = 0
+
+
 # ----------------------------------------------------------------------------#
 # ------------------- Domain and Interface -----------------------------------#
 # ----------------------------------------------------------------------------#
@@ -117,19 +135,6 @@ isRichards = {
     4: True
     }
 
-# ----------------------------------------------------------------------------#
-# ------------------- MESH ---------------------------------------------------#
-# ----------------------------------------------------------------------------#
-mesh_resolution = 20
-# ----------------------------------------:-------------------------------------#
-# ------------------- TIME ---------------------------------------------------#
-# ----------------------------------------------------------------------------#
-timestep_size = 0.01
-number_of_timesteps = 500
-# decide how many timesteps you want analysed. Analysed means, that we write
-# out subsequent errors of the L-iteration within the timestep.
-number_of_timesteps_to_analyse = 11
-starttime = 0
 
 # Dict of the form: { subdom_num : viscosity }
 viscosity = {
@@ -164,12 +169,13 @@ L = {
     4: {'wetting': 0.25}
 }
 
+lamdal_w = 23
 # subdom_num : lambda parameter for the L-scheme
 lambda_param = {
-    1: {'wetting': 15},
-    2: {'wetting': 15},
-    3: {'wetting': 15},
-    4: {'wetting': 15}
+    1: {'wetting': lamdal_w},
+    2: {'wetting': lamdal_w},
+    3: {'wetting': lamdal_w},
+    4: {'wetting': lamdal_w}
 }
 
 
diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/domain_marker.pvd b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/domain_marker.pvd
deleted file mode 100644
index 11d1c43..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/domain_marker.pvd
+++ /dev/null
@@ -1,6 +0,0 @@
-<?xml version="1.0"?>
-<VTKFile type="Collection" version="0.1">
-  <Collection>
-    <DataSet timestep="0" part="0" file="domain_marker000000.vtu" />
-  </Collection>
-</VTKFile>
diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/domain_marker000000.vtu b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/domain_marker000000.vtu
deleted file mode 100644
index 2f2bd79..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/domain_marker000000.vtu
+++ /dev/null
@@ -1,18 +0,0 @@
-<?xml version="1.0"?>
-<VTKFile type="UnstructuredGrid"  version="0.1"  >
-<UnstructuredGrid>
-<Piece  NumberOfPoints="839" NumberOfCells="1548">
-<Points>
-<DataArray  type="Float64"  NumberOfComponents="3"  format="ascii">-1 1 0  -1 0 0  0 0 0  0 1 0  -1 -1 0  0 -1 0  1 -1 0  1 0 0  1 1 0  -0.5 -1 0  0 -0.5 0  -0.5 0 0  -1 -0.5 0  1 0.5 0  0.5 1 0  0 0.5 0  0.5 0 0  -0.5 1 0  0.5 -1 0  -1 0.5 0  1 -0.5 0  -0.5 0.5 0  -0.5 -0.5 0  0.5 0.5 0  0.5 -0.5 0  -1 0.25 0  -0.75 0 0  -0.75 1 0  -1 0.75 0  0 0.25 0  0.25 0 0  0.25 1 0  0 0.75 0  -1 -0.75 0  -0.75 -1 0  0 -0.75 0  0.25 -1 0  0 -0.25 0  -0.25 0 0  1 -0.75 0  0.75 -1 0  1 0.25 0  0.75 0 0  1 0.75 0  0.75 1 0  1 -0.25 0  0.7083333333333333 0.2916666666666667 0  0.7083333333333333 -0.7083333333333334 0  0.375 -0.75 0  -0.25 -0.625 0  -0.625 -0.75 0  -0.25 0.625 0  0.25 0.625 0  0.75 -0.375 0  0.375 0.25 0  0.2916666666666666 -0.2916666666666666 0  -0.75 0.625 0  -0.375 0.25 0  -0.2916666666666666 -0.2916666666666666 0  -0.625 -0.25 0  -0.7083333333333334 0.2916666666666666 0  0.75 0.625 0  -0.53125 0.75 0  0.46875 0.75 0  -0.75 -0.53125 0  -0.25 -1 0  -0.25 1 0  -1 -0.25 0  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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/global_mesh.pvd b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/global_mesh.pvd
deleted file mode 100644
index 6dd2a80..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/global_mesh.pvd
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/global_mesh000000.vtu b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/global_mesh000000.vtu
deleted file mode 100644
index ea4225d..0000000
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/interface_marker_global.pvd b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/interface_marker_global.pvd
deleted file mode 100644
index 24d98b9..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/interface_marker_global.pvd
+++ /dev/null
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/interface_marker_global000000.vtu b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/interface_marker_global000000.vtu
deleted file mode 100644
index e8b5765..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/interface_marker_global000000.vtu
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--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25_solution.xdmf b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25_solution.xdmf
deleted file mode 100644
index f2e817f..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25_solution.xdmf
+++ /dev/null
@@ -1,6041 +0,0 @@
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf
deleted file mode 100644
index 5e6a62d..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf
+++ /dev/null
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
deleted file mode 100644
index ef105d3..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
+++ /dev/null
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
deleted file mode 100644
index e3a0035..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
+++ /dev/null
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.h5 b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.h5
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf
deleted file mode 100644
index ea21ac5..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf
+++ /dev/null
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf
deleted file mode 100644
index c7789d4..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf
+++ /dev/null
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
deleted file mode 100644
index 244fe03..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
+++ /dev/null
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
deleted file mode 100644
index ac8a5cc..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
+++ /dev/null
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.h5 b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.h5
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf
deleted file mode 100644
index b7efbe5..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf
+++ /dev/null
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf
deleted file mode 100644
index 0583464..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
deleted file mode 100644
index 35b37fc..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
+++ /dev/null
@@ -1,117 +0,0 @@
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
deleted file mode 100644
index c917d9e..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
+++ /dev/null
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.h5 b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.h5
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf
deleted file mode 100644
index 0b746f8..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_solution.xdmf
+++ /dev/null
@@ -1,6041 +0,0 @@
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deleted file mode 100644
index 0255e73..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25solution_iterations_at_t0.00.xdmf
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diff --git a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv b/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
deleted file mode 100644
index 0f546dd..0000000
--- a/RR-multi-patch-plus-gravity/output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time0.0000.csv
+++ /dev/null
@@ -1,117 +0,0 @@
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diff --git a/RR-multi-patch-plus-gravity/plots/Tikzcache/Errornorm-exact-solution-over-time-with-gravity.dep b/RR-multi-patch-plus-gravity/plots/Tikzcache/Errornorm-exact-solution-over-time-with-gravity.dep
index 8c01c28..1bca4db 100644
--- a/RR-multi-patch-plus-gravity/plots/Tikzcache/Errornorm-exact-solution-over-time-with-gravity.dep
+++ b/RR-multi-patch-plus-gravity/plots/Tikzcache/Errornorm-exact-solution-over-time-with-gravity.dep
@@ -1,2 +1,4 @@
-Tikzcache/Errornorm-exact-solution-over-time-with-gravity.pdf: ../output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
-Tikzcache/Errornorm-exact-solution-over-time-with-gravity.pdf: ../output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv
+Tikzcache/Errornorm-exact-solution-over-time-with-gravity.pdf: ../output/mesh_res30_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.075_gravitiy_True_lambda23_Lw0.25_L2_errornorms_over_time.csv
+Tikzcache/Errornorm-exact-solution-over-time-with-gravity.pdf: ../output/mesh_res30_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.075_gravitiy_True_lambda23_Lw0.25_L2_errornorms_over_time.csv
+Tikzcache/Errornorm-exact-solution-over-time-with-gravity.pdf: ../output/mesh_res30_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.075_gravitiy_True_lambda23_Lw0.25_L2_errornorms_over_time.csv
+Tikzcache/Errornorm-exact-solution-over-time-with-gravity.pdf: ../output/mesh_res30_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.075_gravitiy_True_lambda23_Lw0.25_L2_errornorms_over_time.csv
diff --git a/RR-multi-patch-plus-gravity/plots/Tikzcache/Errornorm-exact-solution-over-time-with-gravity.png b/RR-multi-patch-plus-gravity/plots/Tikzcache/Errornorm-exact-solution-over-time-with-gravity.png
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diff --git a/RR-multi-patch-plus-gravity/plots/meshres20_dt0.01_exact_solution_error_norms.tex b/RR-multi-patch-plus-gravity/plots/meshres20_dt0.01_exact_solution_error_norms.tex
index 67b04f4..5a4307f 100644
--- a/RR-multi-patch-plus-gravity/plots/meshres20_dt0.01_exact_solution_error_norms.tex
+++ b/RR-multi-patch-plus-gravity/plots/meshres20_dt0.01_exact_solution_error_norms.tex
@@ -17,11 +17,11 @@
 % %     \path[draw,dashed,thick] (3.13,0) -- (3.13,5.2);
         \begin{axis}[%
             width=\textwidth,
-            title={ $\frac{\|p_{w,l}^n - p_{w,l}^{n,h}\|_{L^2}}{\|p_{w,l}^n\|_{L^2}}$  over time $t$,  $ h \approx 0.112$, $\tau = 1\cdot 10^{-2}$ },
+            title={ $\frac{\|p_{w,l}^n - p_{w,l}^{n,h}\|_{L^2}}{\|p_{w,l}^n\|_{L^2}}$  over time $t$,  $ h \approx 0.113$, $\tau = 1\cdot 10^{-2}$ },
         % 	    axis lines=left,
         % 	legend style = {draw=none},
             legend cell align = left,
-            xlabel= {timesteps},
+            xlabel= {time},
             ylabel= {$\frac{\|p_{w,l}^n - p_{w,l}^{n,h}\|_{L^2}}{\|p_{w,l}^n\|_{L^2}}$},
             xmin= 0,
 %             xmax= 53,
@@ -30,20 +30,22 @@
         	grid= both, %major or minor
             axis line style={-Latex[round]},
             legend style={
-%                 anchor=north east,
-%                 at={(1,1)},
+                anchor=south east,
+                at={(1,0)},
 %                 font=\tiny
                 inner sep=1ex,
 %                 /tikz/every even column/.append style={column sep=0.5cm}
                 row sep=.5ex,
             },
             legend entries={$\frac{\|p_{w,1}^n - p_{w,1}^{n,h}\|_2}{\|p_{w,1}^n\|_2} \text{ on } \dom_1$,
-                            $\frac{\|p_{w,2}^n - p_{w,2}^{n,h}\|_2}{\|p_{w,2}^n\|_2} \text{ on } \dom_2$},
+                            $\frac{\|p_{w,2}^n - p_{w,2}^{n,h}\|_2}{\|p_{w,2}^n\|_2} \text{ on } \dom_2$,
+                            $\frac{\|p_{w,3}^n - p_{w,3}^{n,h}\|_2}{\|p_{w,3}^n\|_2} \text{ on } \dom_3$,
+                            $\frac{\|p_{w,4}^n - p_{w,4}^{n,h}\|_2}{\|p_{w,4}^n\|_2} \text{ on } \dom_4$},
             ] % end of axis options %col sep=comma,
-            \addplot table [x=timestep, y=wetting] {../output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv};%
-            \addplot table [x=timestep, y=wetting] {../output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25_L2_errornorms_over_time.csv};%
-% %             \addplot table [col sep=comma] {../output/subdomain1_subsequent_iteration_error_for_phase_wetting_at_time0.csv};%
-% % %             \addplot table [col sep=comma] {../output/subdomain2_subsequent_iteration_error_for_phase_wetting_at_time0.csv};%        
+            \addplot table [x=time, y=wetting] {../output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda17_Lw0.25_L2_errornorms_over_time.csv};%
+            \addplot table [x=time, y=wetting] {../output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda17_Lw0.25_L2_errornorms_over_time.csv};%
+            \addplot table [x=time, y=wetting] {../output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda17_Lw0.25_L2_errornorms_over_time.csv};%
+            \addplot table [x=time, y=wetting] {../output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda17_Lw0.25_L2_errornorms_over_time.csv};%
         \end{axis}
     \end{tikzpicture}  
 
diff --git a/RR-multi-patch-plus-gravity/plots/meshres20_dt0.01_subsequent_errors.tex b/RR-multi-patch-plus-gravity/plots/meshres20_dt0.01_subsequent_errors.tex
index c6b9423..423d177 100644
--- a/RR-multi-patch-plus-gravity/plots/meshres20_dt0.01_subsequent_errors.tex
+++ b/RR-multi-patch-plus-gravity/plots/meshres20_dt0.01_subsequent_errors.tex
@@ -10,7 +10,7 @@
 \usepackage{pgfplotstable}
 
 \begin{document}
-    \foreach \timestep in {0.00,0.04,0.08,0.12,0.16,0.20,0.24,0.28,0.32,0.36}{
+    \foreach \timestep in {0.0,0.5,1.0,1.5,2.0,2.5,3.0,3.5,4.0,4.5}{
         % Generation of Subsequent_errors_t0.00
         \tikzsetnextfilename{RR-2-patch-subsequent_errors_t\timestep}
     \tikzset{external/force remake}
@@ -18,7 +18,7 @@
 % %     \path[draw,dashed,thick] (3.13,0) -- (3.13,5.2);
         \begin{semilogyaxis}[%
             width=\textwidth,
-            title={ Subsequent errors for $t = 0$,  $ h \approx 0.112$, $\tau = 4\cdot 10^{-4}$ },
+            title={ Subsequent errors for $t = 0$,  $ h \approx 0.113$, $\tau =1\cdot 10^{-2}$ },
         % 	    axis lines=left,
         % 	legend style = {draw=none},
             legend cell align = left,
@@ -35,13 +35,15 @@
 %                 at={(1,1)},
                 font=\tiny
             },
-            legend entries={$\bigl\|p_l^i - p_l^{i-1}\bigr\|_{L^2(\dom_1)}$,
-                            $\bigl\|p_l^i - p_l^{i-1}\bigr\|_{L^2(\dom_2)}$},
+            legend entries={$\bigl\|p_1^i - p_1^{i-1}\bigr\|_{L^2(\dom_1)}$,
+                            $\bigl\|p_2^i - p_2^{i-1}\bigr\|_{L^2(\dom_2)}$,
+                            $\bigl\|p_3^i - p_3^{i-1}\bigr\|_{L^2(\dom_3)}$,
+                            $\bigl\|p_4^i - p_4^{i-1}\bigr\|_{L^2(\dom_4)}$},
             ] % end of axis options %col sep=comma,
-            \addplot table [x=iteration, y=wetting] {../output/mesh_res10_dt0.0004/subdomain1_dt0.0004_hmax0.112_lambda40_Lw0.25subsequent_iteration_errors_at_time\timestep.csv};%
-            \addplot table [x=iteration, y=wetting] {../output/mesh_res10_dt0.0004/subdomain2_dt0.0004_hmax0.110_lambda40_Lw0.25subsequent_iteration_errors_at_time\timestep.csv};%
-%             \addplot table [col sep=comma] {../output/subdomain1_subsequent_iteration_error_for_phase_wetting_at_time0.csv};%
-% %             \addplot table [col sep=comma] {../output/subdomain2_subsequent_iteration_error_for_phase_wetting_at_time0.csv};%        
+            \addplot table [x=iteration, y=wetting] {../output/mesh_res20_dt0.01_with_gravity/subdomain1_dt0.01_hmax0.112_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time\timestep000.csv};%
+            \addplot table [x=iteration, y=wetting] {../output/mesh_res20_dt0.01_with_gravity/subdomain2_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time\timestep000.csv};%
+            \addplot table [x=iteration, y=wetting] {../output/mesh_res20_dt0.01_with_gravity/subdomain3_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time\timestep000.csv};%%        
+            \addplot table [x=iteration, y=wetting] {../output/mesh_res20_dt0.01_with_gravity/subdomain4_dt0.01_hmax0.113_gravitiy_True_lambda15_Lw0.25subsequent_iteration_errors_at_time\timestep000.csv};%
         \end{semilogyaxis}
     \end{tikzpicture}  
     }
diff --git a/TP-TP-layered-soil-case/TP-TP-layered_soil.py b/TP-TP-layered-soil-case/TP-TP-layered_soil.py
new file mode 100755
index 0000000..7ecf9a7
--- /dev/null
+++ b/TP-TP-layered-soil-case/TP-TP-layered_soil.py
@@ -0,0 +1,546 @@
+#!/usr/bin/python3
+"""This program sets up a domain together with a decomposition into subdomains
+modelling layered soil. This is used for our LDD article with tp-tp and tp-r
+coupling.
+
+Along with the subdomains and the mesh domain markers are set upself.
+The resulting mesh is saved into files for later use.
+"""
+
+#!/usr/bin/python3
+import dolfin as df
+import mshr
+import numpy as np
+import sympy as sym
+import typing as tp
+import functools as ft
+import domainPatch as dp
+import LDDsimulation as ldd
+
+# init sympy session
+sym.init_printing()
+
+# ----------------------------------------------------------------------------#
+# ------------------- MESH ---------------------------------------------------#
+# ----------------------------------------------------------------------------#
+mesh_resolution = 4
+# ----------------------------------------:-------------------------------------#
+# ------------------- TIME ---------------------------------------------------#
+# ----------------------------------------------------------------------------#
+timestep_size = 0.005
+number_of_timesteps = 30
+# decide how many timesteps you want analysed. Analysed means, that we write
+# out subsequent errors of the L-iteration within the timestep.
+number_of_timesteps_to_analyse = 11
+starttime = 0
+
+l_param_w = 40
+l_param_nw = l_param_w
+
+# global domain
+subdomain0_vertices = [df.Point(0.0,0.0), #
+                        df.Point(13.0,0.0),#
+                        df.Point(13.0,8.0),#
+                        df.Point(0.0,8.0)]
+
+interface12_vertices = [df.Point(0.0, 7.0),
+                        df.Point(9.0, 7.0),
+                        df.Point(10.5, 7.5),
+                        df.Point(12.0, 7.0),
+                        df.Point(13.0, 6.5)]
+# subdomain1.
+subdomain1_vertices = [interface12_vertices[0],
+                        interface12_vertices[1],
+                        interface12_vertices[2],
+                        interface12_vertices[3],
+                        interface12_vertices[4], # southern boundary, 12 interface
+                        subdomain0_vertices[2], # eastern boundary, outer boundary
+                        subdomain0_vertices[3]] # northern boundary, outer on_boundary
+
+# vertex coordinates of the outer boundaries. If it can not be specified as a
+# polygon, use an entry per boundary polygon. This information is used for defining
+# the Dirichlet boundary conditions. If a domain is completely internal, the
+# dictionary entry should be 0: None
+subdomain1_outer_boundary_verts = {
+    0: [interface12_vertices[4], #
+        subdomain0_vertices[2], # eastern boundary, outer boundary
+        subdomain0_vertices[3],
+        interface12_vertices[0]]
+}
+
+
+# interface23
+interface23_vertices = [df.Point(0.0, 5.0),
+                        df.Point(3.0, 5.0),
+                        # df.Point(6.5, 4.5),
+                        df.Point(6.5, 5.0),
+                        df.Point(9.5, 5.0),
+                        # df.Point(11.5, 3.5),
+                        # df.Point(13.0, 3)
+                        df.Point(11.5, 5.0),
+                        df.Point(13.0, 5.0)
+                        ]
+
+#subdomain1
+subdomain2_vertices = [interface23_vertices[0],
+                        interface23_vertices[1],
+                        interface23_vertices[2],
+                        interface23_vertices[3],
+                        interface23_vertices[4],
+                        interface23_vertices[5], # southern boundary, 23 interface
+                        subdomain1_vertices[4], # eastern boundary, outer boundary
+                        subdomain1_vertices[3],
+                        subdomain1_vertices[2],
+                        subdomain1_vertices[1],
+                        subdomain1_vertices[0] ] # northern boundary, 12 interface
+
+subdomain2_outer_boundary_verts = {
+    0: [interface23_vertices[5],
+        subdomain1_vertices[4]],
+    1: [subdomain1_vertices[0],
+        interface23_vertices[0]]
+}
+
+
+# interface34
+interface34_vertices = [df.Point(0.0, 2.0),
+                        df.Point(4.0, 2.0),
+                        df.Point(9.0, 2.5),
+                        df.Point(10.5, 2.0),
+                        df.Point(13.0, 1.5)]
+
+# subdomain3
+subdomain3_vertices = [interface34_vertices[0],
+                        interface34_vertices[1],
+                        interface34_vertices[2],
+                        interface34_vertices[3],
+                        interface34_vertices[4], # southern boundary, 34 interface
+                        subdomain2_vertices[5], # eastern boundary, outer boundary
+                        subdomain2_vertices[4],
+                        subdomain2_vertices[3],
+                        subdomain2_vertices[2],
+                        subdomain2_vertices[1],
+                        subdomain2_vertices[0] ] # northern boundary, 23 interface
+
+subdomain3_outer_boundary_verts = {
+    0: [interface34_vertices[4],
+        subdomain2_vertices[5]],
+    1: [subdomain2_vertices[0],
+        interface34_vertices[0]]
+}
+
+# subdomain4
+subdomain4_vertices = [subdomain0_vertices[0],
+                        subdomain0_vertices[1], # southern boundary, outer boundary
+                        subdomain3_vertices[4],# eastern boundary, outer boundary
+                        subdomain3_vertices[3],
+                        subdomain3_vertices[2],
+                        subdomain3_vertices[1],
+                        subdomain3_vertices[0] ] # northern boundary, 34 interface
+
+subdomain4_outer_boundary_verts = {
+    0: [subdomain4_vertices[6],
+        subdomain4_vertices[0],
+        subdomain4_vertices[1],
+        subdomain4_vertices[2]]
+}
+
+
+subdomain_def_points = [subdomain0_vertices,#
+                      subdomain1_vertices,#
+                      subdomain2_vertices,#
+                      subdomain3_vertices,#
+                      subdomain4_vertices
+                      ]
+
+
+# interface_vertices introduces a global numbering of interfaces.
+interface_def_points = [interface12_vertices, interface23_vertices, interface34_vertices]
+adjacent_subdomains = [[1,2], [2,3], [3,4]]
+
+# if a subdomain has no outer boundary write None instead, i.e.
+# i: None
+# if i is the index of the inner subdomain.
+outer_boundary_def_points = {
+    # subdomain number
+    1: subdomain1_outer_boundary_verts,
+    2: subdomain2_outer_boundary_verts,
+    3: subdomain3_outer_boundary_verts,
+    4: subdomain4_outer_boundary_verts
+}
+
+isRichards = {
+    1: False,
+    2: False,
+    3: False,
+    4: False
+    }
+
+# Dict of the form: { subdom_num : viscosity }
+viscosity = {
+    1: {'wetting' :1,
+         'nonwetting': 1/50},
+    2: {'wetting' :1,
+         'nonwetting': 1/50},
+    3: {'wetting' :1,
+         'nonwetting': 1/50},
+    4: {'wetting' :1,
+         'nonwetting': 1/50},
+}
+
+# Dict of the form: { subdom_num : density }
+densities = {
+    1: {'wetting': 997,
+         'nonwetting': 1.225},
+    2: {'wetting': 997,
+         'nonwetting': 1.225},
+    3: {'wetting': 997,
+         'nonwetting': 1.225},
+    4: {'wetting': 997,
+         'nonwetting': 1.225}
+}
+
+gravity_acceleration = 9.81
+# porosities taken from
+# https://www.geotechdata.info/parameter/soil-porosity.html
+# Dict of the form: { subdom_num : porosity }
+porosity = {
+    1: 0.2,  # Clayey gravels, clayey sandy gravels
+    2: 0.22, # Silty gravels, silty sandy gravels
+    3: 0.37, # Clayey sands
+    4: 0.2 # Silty or sandy clay
+}
+
+# subdom_num : subdomain L for L-scheme
+L = {
+    1: {'wetting' :0.25,
+         'nonwetting': 0.25},
+    2: {'wetting' :0.25,
+         'nonwetting': 0.25},
+    3: {'wetting' :0.25,
+         'nonwetting': 0.25},
+    4: {'wetting' :0.25,
+         'nonwetting': 0.25}
+}
+
+# subdom_num : lambda parameter for the L-scheme
+lambda_param = {
+    1: {'wetting': l_param_w,
+         'nonwetting': l_param_nw},#
+    2: {'wetting': l_param_w,
+         'nonwetting': l_param_nw},#
+    3: {'wetting': l_param_w,
+         'nonwetting': l_param_nw},#
+    4: {'wetting': l_param_w,
+         'nonwetting': l_param_nw},#
+}
+
+
+## relative permeabilty functions on subdomain 1
+def rel_perm1w(s):
+    # relative permeabilty wetting on subdomain1
+    return s**2
+
+
+def rel_perm1nw(s):
+    # relative permeabilty nonwetting on subdomain1
+    return (1-s)**2
+
+
+## relative permeabilty functions on subdomain 2
+def rel_perm2w(s):
+    # relative permeabilty wetting on subdomain2
+    return s**3
+
+
+def rel_perm2nw(s):
+    # relative permeabilty nonwetting on subdosym.cos(0.8*t - (0.8*x + 1/7*y))main2
+    return (1-s)**2
+
+
+_rel_perm1w = ft.partial(rel_perm1w)
+_rel_perm1nw = ft.partial(rel_perm1nw)
+_rel_perm2w = ft.partial(rel_perm2w)
+_rel_perm2nw = ft.partial(rel_perm2nw)
+
+subdomain1_rel_perm = {
+    'wetting': _rel_perm1w,#
+    'nonwetting': _rel_perm1nw
+}
+
+subdomain2_rel_perm = {
+    'wetting': _rel_perm2w,#
+    'nonwetting': _rel_perm2nw
+}
+
+# _rel_perm3 = ft.partial(rel_perm2)
+# subdomain3_rel_perm = subdomain2_rel_perm.copy()
+#
+# _rel_perm4 = ft.partial(rel_perm1)
+# subdomain4_rel_perm = subdomain1_rel_perm.copy()
+
+# dictionary of relative permeabilties on all domains.
+relative_permeability = {
+    1: subdomain1_rel_perm,
+    2: subdomain1_rel_perm,
+    3: subdomain2_rel_perm,
+    4: subdomain2_rel_perm
+}
+
+# definition of the derivatives of the relative permeabilities
+# relative permeabilty functions on subdomain 1
+def rel_perm1w_prime(s):
+    # relative permeabilty on subdomain1
+    return 2*s
+
+def rel_perm1nw_prime(s):
+    # relative permeabilty on subdomain1
+    return 2*(1-s)
+
+# definition of the derivatives of the relative permeabilities
+# relative permeabilty functions on subdomain 1
+def rel_perm2w_prime(s):
+    # relative permeabilty on subdomain1
+    return 3*s**2
+
+def rel_perm2nw_prime(s):
+    # relative permeabilty on subdomain1
+    return 2*(1-s)
+
+_rel_perm1w_prime = ft.partial(rel_perm1w_prime)
+_rel_perm1nw_prime = ft.partial(rel_perm1nw_prime)
+_rel_perm2w_prime = ft.partial(rel_perm2w_prime)
+_rel_perm2nw_prime = ft.partial(rel_perm2nw_prime)
+
+subdomain1_rel_perm_prime = {
+    'wetting': _rel_perm1w_prime,
+    'nonwetting': _rel_perm1nw_prime
+}
+
+
+subdomain2_rel_perm_prime = {
+    'wetting': _rel_perm2w_prime,
+    'nonwetting': _rel_perm2nw_prime
+}
+
+# dictionary of relative permeabilties on all domains.
+ka_prime = {
+    1: subdomain1_rel_perm_prime,
+    2: subdomain1_rel_perm_prime,
+    3: subdomain2_rel_perm_prime,
+    4: subdomain2_rel_perm_prime
+}
+
+
+
+# S-pc-relation ship. We use the van Genuchten approach, i.e. pc = 1/alpha*(S^{-1/m} -1)^1/n, where
+# we set alpha = 0, assume m = 1-1/n (see Helmig) and assume that residual saturation is Sw
+# this function needs to be monotonically decreasing in the capillary pressure pc.
+# since in the richards case pc=-pw, this becomes as a function of pw a mono
+# tonically INCREASING function like in our Richards-Richards paper. However
+# since we unify the treatment in the code for Richards and two-phase, we need
+# the same requierment
+# for both cases, two-phase and Richards.
+def saturation(pc, n_index, alpha):
+    # inverse capillary pressure-saturation-relationship
+    return df.conditional(pc > 0, 1/((1 + (alpha*pc)**n_index)**((n_index - 1)/n_index)), 1)
+
+# S-pc-relation ship. We use the van Genuchten approach, i.e. pc = 1/alpha*(S^{-1/m} -1)^1/n, where
+# we set alpha = 0, assume m = 1-1/n (see Helmig) and assume that residual saturation is Sw
+def saturation_sym(pc, n_index, alpha):
+    # inverse capillary pressure-saturation-relationship
+    #df.conditional(pc > 0,
+    return 1/((1 + (alpha*pc)**n_index)**((n_index - 1)/n_index))
+
+
+# derivative of S-pc relationship with respect to pc. This is needed for the
+# construction of a analytic solution.
+def saturation_sym_prime(pc, n_index, alpha):
+    # inverse capillary pressure-saturation-relationship
+    return -(alpha*(n_index - 1)*(alpha*pc)**(n_index - 1)) / ( (1 + (alpha*pc)**n_index)**((2*n_index - 1)/n_index) )
+
+
+# note that the conditional definition of S-pc in the nonsymbolic part will be
+# incorporated in the construction of the exact solution below.
+S_pc_sym = {
+    1: ft.partial(saturation_sym, n_index=3, alpha=0.001),
+    2: ft.partial(saturation_sym, n_index=3, alpha=0.001),
+    3: ft.partial(saturation_sym, n_index=6, alpha=0.001),
+    4: ft.partial(saturation_sym, n_index=6, alpha=0.001)
+}
+
+S_pc_sym_prime = {
+    1: ft.partial(saturation_sym_prime, n_index=3, alpha=0.001),
+    2: ft.partial(saturation_sym_prime, n_index=3, alpha=0.001),
+    3: ft.partial(saturation_sym_prime, n_index=6, alpha=0.001),
+    4: ft.partial(saturation_sym_prime, n_index=6, alpha=0.001)
+}
+
+sat_pressure_relationship = {
+    1: ft.partial(saturation, n_index=3, alpha=0.001),
+    2: ft.partial(saturation, n_index=3, alpha=0.001),
+    3: ft.partial(saturation, n_index=6, alpha=0.001),
+    4: ft.partial(saturation, n_index=6, alpha=0.001)
+}
+
+
+#############################################
+# Manufacture source expressions with sympy #
+#############################################
+x, y = sym.symbols('x[0], x[1]')  # needed by UFL
+t = sym.symbols('t', positive=True)
+
+p_e_sym = {
+    1: {'wetting': 1.0 - (1.0 + t*t)*(10.0 + x*x + (y-5.0)*(y-5.0)),
+        'nonwetting': - 2 - t*(1 + (y-5.0) + x**2)**2 -sym.sqrt(2+t**2)*(1 + (y-5.0)) },
+    2: {'wetting': 1.0 - (1.0 + t*t)*(10.0 + x*x + (y-5.0)*(y-5.0)),
+        'nonwetting': - 2 - t*(1 + (y-5.0) + x**2)**2 -sym.sqrt(2+t**2)*(1 + (y-5.0))},
+    3: {'wetting': 1.0 - (1.0 + t*t)*(10.0 + x*x + (y-5.0)*(y-5.0)*3*sym.sin(-2*t+2*x)*sym.sin(1/2*y-1.2*t)),
+        'nonwetting': - 2 - t*(1 + x**2)**2 -sym.sqrt(2+t**2)},
+    4: {'wetting': 1.0 - (1.0 + t*t)*(10.0 + x*x + (y-5.0)*(y-5.0)*3*sym.sin(-2*t+2*x)*sym.sin(1/2*y-1.2*t)),
+        'nonwetting': - 2 - t*(1 + x**2)**2 -sym.sqrt(2+t**2)}
+}
+
+pc_e_sym = {
+    1: p_e_sym[1]['nonwetting'] - p_e_sym[1]['wetting'],
+    2: p_e_sym[2]['nonwetting'] - p_e_sym[2]['wetting'],
+    3: p_e_sym[3]['nonwetting'] - p_e_sym[3]['wetting'],
+    4: p_e_sym[4]['nonwetting'] - p_e_sym[4]['wetting']
+}
+
+# turn above symbolic code into exact solution for dolphin and
+# construct the rhs that matches the above exact solution.
+dtS = dict()
+div_flux = dict()
+source_expression = dict()
+exact_solution = dict()
+initial_condition = dict()
+for subdomain, isR in isRichards.items():
+    dtS.update({subdomain: dict()})
+    div_flux.update({subdomain: dict()})
+    source_expression.update({subdomain: dict()})
+    exact_solution.update({subdomain: dict()})
+    initial_condition.update({subdomain: dict()})
+    if isR:
+        subdomain_has_phases = ["wetting"]
+    else:
+        subdomain_has_phases = ["wetting", "nonwetting"]
+
+    # conditional for S_pc_prime
+    pc = pc_e_sym[subdomain]
+    dtpc = sym.diff(pc, t, 1)
+    dxpc = sym.diff(pc, x, 1)
+    dypc = sym.diff(pc, y, 1)
+    S = sym.Piecewise((S_pc_sym[subdomain](pc), pc > 0), (1, True))
+    dS = sym.Piecewise((S_pc_sym_prime[subdomain](pc), pc > 0), (0, True))
+    for phase in subdomain_has_phases:
+        # Turn above symbolic expression for exact solution into c code
+        exact_solution[subdomain].update(
+            {phase: sym.printing.ccode(p_e_sym[subdomain][phase])}
+            )
+        # save the c code for initial conditions
+        initial_condition[subdomain].update(
+            {phase: sym.printing.ccode(p_e_sym[subdomain][phase].subs(t, 0))}
+            )
+        if phase == "nonwetting":
+            dS = -dS
+        dtS[subdomain].update(
+            {phase: porosity[subdomain]*dS*dtpc}
+            )
+        pa = p_e_sym[subdomain][phase]
+        dxpa = sym.diff(pa, x, 1)
+        dxdxpa = sym.diff(pa, x, 2)
+        dypa = sym.diff(pa, y, 1)
+        dydypa = sym.diff(pa, y, 2)
+        mu = viscosity[subdomain][phase]
+        ka = relative_permeability[subdomain][phase]
+        dka = ka_prime[subdomain][phase]
+        rho = densities[subdomain][phase]
+        g = gravity_acceleration
+
+        if phase == "nonwetting":
+            # x part of div(flux) for nonwetting
+            dxdxflux = -1/mu*dka(1-S)*dS*dxpc*dxpa + 1/mu*dxdxpa*ka(1-S)
+            # y part of div(flux) for nonwetting
+            dydyflux = -1/mu*dka(1-S)*dS*dypc*(dypa - rho*g) \
+                + 1/mu*dydypa*ka(1-S)
+        else:
+            # x part of div(flux) for wetting
+            dxdxflux = 1/mu*dka(S)*dS*dxpc*dxpa + 1/mu*dxdxpa*ka(S)
+            # y part of div(flux) for wetting
+            dydyflux = 1/mu*dka(S)*dS*dypc*(dypa - rho*g) + 1/mu*dydypa*ka(S)
+        div_flux[subdomain].update({phase: dxdxflux + dydyflux})
+        contructed_rhs = dtS[subdomain][phase] - div_flux[subdomain][phase]
+        source_expression[subdomain].update(
+            {phase: sym.printing.ccode(contructed_rhs)}
+            )
+        # print(f"source_expression[{subdomain}][{phase}] =", source_expression[subdomain][phase])
+
+# Dictionary of dirichlet boundary conditions.
+dirichletBC = dict()
+# similarly to the outer boundary dictionary, if a patch has no outer boundary
+# None should be written instead of an expression.
+# This is a bit of a brainfuck:
+# dirichletBC[ind] gives a dictionary of the outer boundaries of subdomain ind.
+# Since a domain patch can have several disjoint outer boundary parts, the
+# expressions need to get an enumaration index which starts at 0.
+# So dirichletBC[ind][j] is the dictionary of outer dirichlet conditions of
+# subdomain ind and boundary part j.
+# Finally, dirichletBC[ind][j]['wetting'] and dirichletBC[ind][j]['nonwetting']
+# return the actual expression needed for the dirichlet condition for both
+# phases if present.
+
+# subdomain index: {outer boudary part index: {phase: expression}}
+for subdomain in isRichards.keys():
+    if outer_boundary_def_points[subdomain] is None:
+        dirichletBC.update({subdomain: None})
+    else:
+        dirichletBC.update({subdomain: dict()})
+    # if subdomain has no outer boundary, outer_boundary_def_points[subdomain] is None
+
+    if outer_boundary_def_points[subdomain] is not None:
+        # set the dirichlet conditions to be the same code as exact solution on
+        # the subdomain.
+        for outer_boundary_ind in outer_boundary_def_points[subdomain].keys():
+            dirichletBC[subdomain].update(
+                {outer_boundary_ind: exact_solution[subdomain]}
+                )
+
+write_to_file = {
+    'meshes_and_markers': True,
+    'L_iterations': True
+}
+
+# initialise LDD simulation class
+simulation = ldd.LDDsimulation(tol=1E-14, debug=False, LDDsolver_tol=1E-9)
+simulation.set_parameters(output_dir="./output/",
+                          subdomain_def_points=subdomain_def_points,
+                          isRichards=isRichards,
+                          interface_def_points=interface_def_points,
+                          outer_boundary_def_points=outer_boundary_def_points,
+                          adjacent_subdomains=adjacent_subdomains,
+                          mesh_resolution=mesh_resolution,
+                          viscosity=viscosity,
+                          porosity=porosity,
+                          L=L,
+                          lambda_param=lambda_param,
+                          relative_permeability=relative_permeability,
+                          saturation=sat_pressure_relationship,
+                          starttime=starttime,
+                          number_of_timesteps=number_of_timesteps,
+                          number_of_timesteps_to_analyse=number_of_timesteps_to_analyse,
+                          timestep_size=timestep_size,
+                          sources=source_expression,
+                          initial_conditions=initial_condition,
+                          dirichletBC_expression_strings=dirichletBC,
+                          exact_solution=exact_solution,
+                          densities=densities,
+                          include_gravity=True,
+                          write2file=write_to_file,
+                          )
+
+simulation.initialise()
+# print(simulation.__dict__)
+simulation.run()
+# simulation.LDDsolver(time=0, debug=True, analyse_timestep=True)
+# df.info(parameters, True)
diff --git a/layered-soil-case/layered_soil.py b/layered-soil-case/layered_soil.py
deleted file mode 100755
index 952d6e6..0000000
--- a/layered-soil-case/layered_soil.py
+++ /dev/null
@@ -1,134 +0,0 @@
-#!/usr/bin/python3
-"""This program sets up a domain together with a decomposition into subdomains
-modelling layered soil. This is used for our LDD article with tp-tp and tp-r
-coupling.
-
-Along with the subdomains and the mesh domain markers are set upself.
-The resulting mesh is saved into files for later use.
-"""
-
-#!/usr/bin/python3
-import dolfin as df
-import mshr
-import numpy as np
-import sympy as sym
-import typing as tp
-import domainPatch as dp
-import LDDsimulation as ldd
-
-# global domain
-subdomain0_vertices = [df.Point(0.0,0.0), #
-                        df.Point(13.0,0.0),#
-                        df.Point(13.0,8.0),#
-                        df.Point(0.0,8.0)]
-
-interface12_vertices = [df.Point(0.0, 7.0),
-                        df.Point(9.0, 7.0),
-                        df.Point(10.5, 7.5),
-                        df.Point(12.0, 7.0),
-                        df.Point(13.0, 6.5)]
-# subdomain1.
-subdomain1_vertices = [interface12_vertices[0],
-                        interface12_vertices[1],
-                        interface12_vertices[2],
-                        interface12_vertices[3],
-                        interface12_vertices[4], # southern boundary, 12 interface
-                        df.Point(13.0, 8.0), # eastern boundary, outer boundary
-                        df.Point(0.0, 8.0) ] # northern boundary, outer on_boundary
-
-# interface23
-interface23_vertices = [df.Point(0.0, 5.0),
-                        df.Point(3.0, 5.0),
-                        df.Point(6.5, 4.5),
-                        df.Point(9.5, 5.0),
-                        df.Point(11.5, 3.5),
-                        df.Point(13.0, 3)]
-
-#subdomain1
-subdomain2_vertices = [interface23_vertices[0],
-                        interface23_vertices[1],
-                        interface23_vertices[2],
-                        interface23_vertices[3],
-                        interface23_vertices[4],
-                        interface23_vertices[5], # southern boundary, 23 interface
-                        subdomain1_vertices[4], # eastern boundary, outer boundary
-                        subdomain1_vertices[3],
-                        subdomain1_vertices[2],
-                        subdomain1_vertices[1],
-                        subdomain1_vertices[0] ] # northern boundary, 12 interface
-
-# interface34
-interface34_vertices = [df.Point(0.0, 2.0),
-                        df.Point(4.0, 2.0),
-                        df.Point(9.0, 2.5),
-                        df.Point(10.5, 2.0),
-                        df.Point(13.0, 1.5)]
-
-# subdomain3
-subdomain3_vertices = [interface34_vertices[0],
-                        interface34_vertices[1],
-                        interface34_vertices[2],
-                        interface34_vertices[3],
-                        interface34_vertices[4], # southern boundary, 34 interface
-                        subdomain2_vertices[5], # eastern boundary, outer boundary
-                        subdomain2_vertices[4],
-                        subdomain2_vertices[3],
-                        subdomain2_vertices[2],
-                        subdomain2_vertices[1],
-                        subdomain2_vertices[0] ] # northern boundary, 23 interface
-
-# subdomain4
-subdomain4_vertices = [df.Point(0.0, 0.0),
-                        df.Point(13.0, 0.0), # southern boundary, outer boundary
-                        subdomain3_vertices[4],# eastern boundary, outer boundary
-                        subdomain3_vertices[3],
-                        subdomain3_vertices[2],
-                        subdomain3_vertices[1],
-                        subdomain3_vertices[0] ] # northern boundary, 34 interface
-
-subdomain_vertices = [subdomain0_vertices,#
-                      subdomain1_vertices,#
-                      subdomain2_vertices,#
-                      subdomain3_vertices,#
-                      subdomain4_vertices]
-# subdomain_vertices = [subdomain0_vertices,#
-#                       subdomain1_vertices,#
-#                       subdomain2_vertices]
-
-
-# interface_vertices introduces a global numbering of interfaces.
-interface_vertices = [interface12_vertices, interface23_vertices, interface34_vertices]
-adjacent_subdomains = [[1,2], [2,3], [3,4]]
-# adjacent_subdomains = [[1,2]]
-# interface_vertices = [interface12_vertices]
-# initialise LDD simulation class
-simulation = ldd.LDDsimulation()
-simulation._init_meshes_and_markers(subdomain_vertices, mesh_resolution=2)
-# subdomain marker functions
-domain_marker = simulation.domain_marker
-mesh_subdomain = simulation.mesh_subdomain
-simulation._init_interfaces(interface_vertices, adjacent_subdomains)
-
-interface = simulation.interface
-interface_marker = simulation.interface_marker
-
-
-# Save mesh to file
-df.File('./domain_layered_soil.xml.gz') << mesh_subdomain[0]
-df.File('./global_interface_marker.pvd') << interface_marker
-#df.File('./subdomain1.xml.gz') << mesh_subdomain
-df.File('./domain_markers.pvd') << domain_marker
-#df.File('./subdomain_boundary_markers.pvd') << subdomain_boundary_marker
-
-
-
-# Save sub domains to file
-#file = File("subdomains_layered_soil.xml")
-#file << subdomains
-
-#file_double = File("subdomains_double.xml")
-#file_double << subdomains_double
-
-# Save sub domains to VTK files
-#file = File("subdomains_layered_soil.pvd")
-#file << subdomains
-- 
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