From 49b13dbe400c43e88f16253e8402593dfa4471d0 Mon Sep 17 00:00:00 2001
From: David <forenkram@gmx.de>
Date: Tue, 23 Jun 2020 16:27:08 +0200
Subject: [PATCH] split interface 45 into a and b to avoid rogue dof
---
..._patch-realistic-different-model-change.py | 0
...soil_with_inner_patch-realistic-pure-dd.py | 0
...layered_soil_with_inner_patch-realistic.py | 0
.../TP-TP-layered_soil_with_inner_patch.py | 120 +--
...istic-different-model-change_mesh_study.py | 0
...nner_patch-realistic-pure-dd_mesh_study.py | 0
...ayered_soil_with_inner_patch_mesh_study.py | 987 +++++++++++++-----
7 files changed, 762 insertions(+), 345 deletions(-)
rename Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/{ => Archive}/TP-TP-layered_soil_with_inner_patch-realistic-different-model-change.py (100%)
rename Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/{ => Archive}/TP-TP-layered_soil_with_inner_patch-realistic-pure-dd.py (100%)
rename Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/{ => Archive}/TP-TP-layered_soil_with_inner_patch-realistic.py (100%)
rename Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/{ => Archive}/TP-TP-layered_soil_with_inner_patch-realistic-different-model-change_mesh_study.py (100%)
rename Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/{ => Archive}/TP-TP-layered_soil_with_inner_patch-realistic-pure-dd_mesh_study.py (100%)
diff --git a/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/TP-TP-layered_soil_with_inner_patch-realistic-different-model-change.py b/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/Archive/TP-TP-layered_soil_with_inner_patch-realistic-different-model-change.py
similarity index 100%
rename from Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/TP-TP-layered_soil_with_inner_patch-realistic-different-model-change.py
rename to Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/Archive/TP-TP-layered_soil_with_inner_patch-realistic-different-model-change.py
diff --git a/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/TP-TP-layered_soil_with_inner_patch-realistic-pure-dd.py b/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/Archive/TP-TP-layered_soil_with_inner_patch-realistic-pure-dd.py
similarity index 100%
rename from Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/TP-TP-layered_soil_with_inner_patch-realistic-pure-dd.py
rename to Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/Archive/TP-TP-layered_soil_with_inner_patch-realistic-pure-dd.py
diff --git a/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/TP-TP-layered_soil_with_inner_patch-realistic.py b/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/Archive/TP-TP-layered_soil_with_inner_patch-realistic.py
similarity index 100%
rename from Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/TP-TP-layered_soil_with_inner_patch-realistic.py
rename to Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/Archive/TP-TP-layered_soil_with_inner_patch-realistic.py
diff --git a/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/TP-TP-layered_soil_with_inner_patch.py b/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/TP-TP-layered_soil_with_inner_patch.py
index 7f57d61..5a4362c 100755
--- a/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/TP-TP-layered_soil_with_inner_patch.py
+++ b/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/TP-TP-layered_soil_with_inner_patch.py
@@ -36,7 +36,7 @@ thisfile = "TP-TP-layered_soil_with_inner_patch.py"
# GENERAL SOLVER CONFIG ######################################################
# maximal iteration per timestep
-max_iter_num = 300
+max_iter_num = 1000
FEM_Lagrange_degree = 1
# GRID AND MESH STUDY SPECIFICATIONS #########################################
@@ -46,8 +46,8 @@ resolutions = {
# 2: 1e-6,
# 4: 1e-6,
# 8: 1e-6,
- # 16: 5e-6,
- 32: 8e-6,
+ 16: 8e-6,
+ # 32: 8e-6,
# 64: 2e-6,
# 128: 1e-6,
# 256: 1e-6,
@@ -61,23 +61,23 @@ timestep_size = 0.001
number_of_timesteps = 5
# LDD scheme parameters ######################################################
-Lw1 = 0.5 # /timestep_size
-Lnw1 = 0.025
+Lw1 = 0.25 # /timestep_size
+Lnw1 = 0.25
-Lw2 = 0.5 # /timestep_size
-Lnw2 = 0.025
+Lw2 = 0.25 # /timestep_size
+Lnw2 = 0.25
-Lw3 = 0.5 # /timestep_size
-Lnw3 = 0.025
+Lw3 = 0.25 # /timestep_size
+Lnw3 = 0.25
-Lw4 = 0.5 # /timestep_size
-Lnw4 = 0.025
+Lw4 = 0.25 # /timestep_size
+Lnw4 = 0.25
-Lw5 = 0.5 # /timestep_size
-Lnw5 = 0.025
+Lw5 = 0.25 # /timestep_size
+Lnw5 = 0.25
-Lw6 = 0.5 # /timestep_size
-Lnw6 = 0.025
+Lw6 = 0.25 # /timestep_size
+Lnw6 = 0.25
lambda12_w = 4
lambda12_nw = 4
@@ -106,7 +106,7 @@ lambda46_nw = 4
lambda56_w = 4
lambda56_nw = 4
-include_gravity = True
+include_gravity = False
debugflag = True
analyse_condition = False
@@ -161,7 +161,7 @@ output_string = "./output/{}-{}_timesteps{}_P{}".format(
)
-# DOMAIN AND INTERFACE #######################################################
+# DOMAIN AND INTERFACES #######################################################
# global domain
subdomain0_vertices = [df.Point(-1.0,-1.0), #
df.Point(1.0,-1.0),#
@@ -211,14 +211,18 @@ interface56_vertices = [interface46_vertices[1],
interface34_vertices = [interface36_vertices[1],
interface23_vertices[2]]
-# interface36
-interface45_vertices = [interface56_vertices[0],
- df.Point(0.7, -0.2),
+# Interface 45 needs to be split, because of the shape. There can be triangles
+# with two facets on the interface and this creates a rogue dof type error when
+# integrating over that particular interface. Accordingly, the lambda_param
+# dictionary has two entries for that interface.
+interface45_vertices_a = [interface56_vertices[0],
+ df.Point(0.7, -0.2),#df.Point(0.7, -0.2),
+ ]
+interface45_vertices_b = [df.Point(0.7, -0.2),#df.Point(0.7, -0.2),
interface25_vertices[0]
]
-
# interface_vertices introduces a global numbering of interfaces.
interface_def_points = [interface12_vertices,
interface23_vertices,
@@ -226,11 +230,11 @@ interface_def_points = [interface12_vertices,
interface25_vertices,
interface34_vertices,
interface36_vertices,
- interface45_vertices,
+ interface45_vertices_a,
+ interface45_vertices_b,
interface46_vertices,
interface56_vertices,
]
-
adjacent_subdomains = [[1,2],
[2,3],
[2,4],
@@ -238,6 +242,7 @@ adjacent_subdomains = [[1,2],
[3,4],
[3,6],
[4,5],
+ [4,5],
[4,6],
[5,6]
]
@@ -247,18 +252,17 @@ 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
+ 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
+# 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: [subdomain1_vertices[4],
- subdomain1_vertices[5], # eastern boundary, outer boundary
+ 0: [subdomain1_vertices[4], #
+ subdomain1_vertices[5], # eastern boundary, outer boundary
subdomain1_vertices[6],
subdomain1_vertices[0]]
}
@@ -268,12 +272,12 @@ subdomain2_vertices = [interface23_vertices[0],
interface23_vertices[1],
interface23_vertices[2],
interface24_vertices[1],
- interface25_vertices[1], # southern boundary, 23 interface
- subdomain1_vertices[4], # eastern boundary, outer boundary
+ interface25_vertices[1], # 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
+ subdomain1_vertices[0] ] # northern boundary, 12 interface
subdomain2_outer_boundary_verts = {
0: [subdomain2_vertices[9],
@@ -301,7 +305,8 @@ subdomain3_outer_boundary_verts = {
# subdomain3
subdomain4_vertices = [interface46_vertices[0],
interface46_vertices[1],
- interface45_vertices[1],
+ # interface45_vertices[1],
+ interface45_vertices_a[1],
interface24_vertices[1],
interface24_vertices[0],
interface34_vertices[1]
@@ -314,10 +319,11 @@ subdomain5_vertices = [interface56_vertices[0],
interface56_vertices[2],
interface25_vertices[1],
interface25_vertices[0],
- interface45_vertices[1],
- interface45_vertices[0]
+ interface45_vertices_b[1],
+ interface45_vertices_b[0]
]
+
subdomain5_outer_boundary_verts = {
0: [subdomain5_vertices[2],
subdomain5_vertices[3]]
@@ -450,32 +456,34 @@ L = {
# interface25_vertices,
# interface34_vertices,
# interface36_vertices,
-# interface45_vertices,
+# interface45_vertices_a,
+# interface45_vertices_b,
# interface46_vertices,
# interface56_vertices,
# ]
lambda_param = {
0: {'wetting': lambda12_w,
- 'nonwetting': lambda12_nw},#
+ 'nonwetting': lambda12_nw},
1: {'wetting': lambda23_w,
- 'nonwetting': lambda23_nw},#
+ 'nonwetting': lambda23_nw},
2: {'wetting': lambda24_w,
- 'nonwetting': lambda24_nw},#
+ 'nonwetting': lambda24_nw},
3: {'wetting': lambda25_w,
- 'nonwetting': lambda25_nw},#
+ 'nonwetting': lambda25_nw},
4: {'wetting': lambda34_w,
- 'nonwetting': lambda34_nw},#
+ 'nonwetting': lambda34_nw},
5: {'wetting': lambda36_w,
- 'nonwetting': lambda36_nw},#
+ 'nonwetting': lambda36_nw},
6: {'wetting': lambda45_w,
- 'nonwetting': lambda45_nw},#
- 7: {'wetting': lambda46_w,
- 'nonwetting': lambda46_nw},#
- 8: {'wetting': lambda56_w,
- 'nonwetting': lambda56_nw},#
+ 'nonwetting': lambda45_nw},
+ 7: {'wetting': lambda45_w,
+ 'nonwetting': lambda45_nw},
+ 8: {'wetting': lambda46_w,
+ 'nonwetting': lambda46_nw},
+ 9: {'wetting': lambda56_w,
+ 'nonwetting': lambda56_nw},
}
-
# after Lewis, see pdf file
intrinsic_permeability = {
1: 0.01, # sand
@@ -853,19 +861,13 @@ p_e_sym = {
2: {'wetting': -6.0 - (1.0 + t*t)*(1.0 + x*x + y*y),
'nonwetting': (-1 -t*(1.1 + y + x**2)) },
3: {'wetting': (-6.0 - (1.0 + t*t)*(1.0 + x*x)),
- 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sqrt(2+t**2)*(1+y)*y**2) },
+ 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sin(2+t**2)*y**2) },
4: {'wetting': (-6.0 - (1.0 + t*t)*(1.0 + x*x)),
- 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sqrt(2+t**2)*(1+y)*y**2) },
+ 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sin(2+t**2)*y**2) },
5: {'wetting': (-6.0 - (1.0 + t*t)*(1.0 + x*x)),
- 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sqrt(2+t**2)*(1+y)*y**2) },
+ 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sin(2+t**2)*y**2) },
6: {'wetting': (-6.0 - (1.0 + t*t)*(1.0 + x*x)),
- 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sqrt(2+t**2)*(1+y)*y**2) },
- # 2: {'wetting': 1.0 - (1.0 + t*t)*(10.0 + x*x + (y-6.0)*(y-6.0)),
- # 'nonwetting': - 2 - t*(1.0 + (y-6.0) + x**2)**2 -sym.sqrt(2+t**2)*(1.0 + (y-6.0))},
- # 3: {'wetting': 1.0 - (1.0 + t*t)*(10.0 + x*x + (y-6.0)*(y-6.0)*3*sym.sin(-2*t+2*x)*sym.sin(1/2*y-1.2*t)),
- # 'nonwetting': - 2 - t*(1.0 + x**2)**2 -sym.sqrt(2+t**2)},
- # 4: {'wetting': 1.0 - (1.0 + t*t)*(10.0 + x*x + (y-6.0)*(y-6.0)*3*sym.sin(-2*t+2*x)*sym.sin(1/2*y-1.2*t)),
- # 'nonwetting': - 2 - t*(1.0 + x**2)**2 -sym.sqrt(2+t**2)}
+ 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sin(2+t**2)*y**2) },
}
diff --git a/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/TP-TP-layered_soil_with_inner_patch-realistic-different-model-change_mesh_study.py b/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/Archive/TP-TP-layered_soil_with_inner_patch-realistic-different-model-change_mesh_study.py
similarity index 100%
rename from Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/TP-TP-layered_soil_with_inner_patch-realistic-different-model-change_mesh_study.py
rename to Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/Archive/TP-TP-layered_soil_with_inner_patch-realistic-different-model-change_mesh_study.py
diff --git a/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/TP-TP-layered_soil_with_inner_patch-realistic-pure-dd_mesh_study.py b/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/Archive/TP-TP-layered_soil_with_inner_patch-realistic-pure-dd_mesh_study.py
similarity index 100%
rename from Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/TP-TP-layered_soil_with_inner_patch-realistic-pure-dd_mesh_study.py
rename to Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/Archive/TP-TP-layered_soil_with_inner_patch-realistic-pure-dd_mesh_study.py
diff --git a/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/TP-TP-layered_soil_with_inner_patch_mesh_study.py b/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/TP-TP-layered_soil_with_inner_patch_mesh_study.py
index 7220ca8..212c5f4 100755
--- a/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/TP-TP-layered_soil_with_inner_patch_mesh_study.py
+++ b/Two-phase-Two-phase/multi-patch/TP-TP-layered-soil-case-with-inner-patch/mesh_study/TP-TP-layered_soil_with_inner_patch_mesh_study.py
@@ -1,84 +1,147 @@
#!/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.
+"""TP-TP layered soil with inner patch simulation.
-Along with the subdomains and the mesh domain markers are set upself.
-The resulting mesh is saved into files for later use.
+This program sets up an LDD simulation
"""
-#!/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
import helpers as hlp
import datetime
import os
import pandas as pd
+# init sympy session
+sym.init_printing()
+
+# PREREQUISITS ###############################################################
+# check if output directory "./output" exists. This will be used in
+# the generation of the output string.
+if not os.path.exists('./output'):
+ os.mkdir('./output')
+ print("Directory ", './output', " created ")
+else:
+ print("Directory ", './output', " already exists. Will use as output \
+ directory")
+
date = datetime.datetime.now()
datestr = date.strftime("%Y-%m-%d")
-# init sympy session
-sym.init_printing()
-# solver_tol = 6E-7
-use_case = "TP-TP-layered-soil-pure-dd"
-max_iter_num = 200
+# Name of the usecase that will be printed during simulation.
+use_case = "TP-TP-layered-soil-inner-patch-realistic"
+# The name of this very file. Needed for creating log output.
+thisfile = "TP-TP-layered_soil_with_inner_patch_mesh_study.py"
+
+# GENERAL SOLVER CONFIG ######################################################
+# maximal iteration per timestep
+max_iter_num = 1000
FEM_Lagrange_degree = 1
+
+# GRID AND MESH STUDY SPECIFICATIONS #########################################
mesh_study = True
resolutions = {
- 1: 5e-4, # h=2
- 2: 5e-4, # h=1.1180
- 4: 3e-4, # h=0.5590
- 8: 1e-6, # h=0.2814
- 16: 1e-6, # h=0.1412
- 32: 1e-6, # h=0.0706
- 64: 1e-6, # 0.03535
- 128: 1e-6, # 0.01768
- # 256: 1e-6 # 0.00884
+ # 1: 1e-6,
+ # 2: 1e-6,
+ # 4: 1e-6,
+ # 8: 1e-6,
+ 16: 8e-6,
+ # 32: 8e-6,
+ # 64: 2e-6,
+ # 128: 1e-6,
+ # 256: 1e-6,
}
-############ GRID #######################
-# mesh_resolution = 20
-timestep_size = 0.005
-number_of_timesteps = 140
-plot_timestep_every = 1
-# 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 = 6
-starttimes = [0.0]
+# starttimes gives a list of starttimes to run the simulation from.
+# The list is looped over and a simulation is run with t_0 as initial time
+# for each element t_0 in starttimes.
+starttimes = [0.3]
+timestep_size = 0.001
+number_of_timesteps = 5
+
+# LDD scheme parameters ######################################################
+Lw1 = 0.25 # /timestep_size
+Lnw1 = 0.25
+
+Lw2 = 0.25 # /timestep_size
+Lnw2 = 0.25
+
+Lw3 = 0.25 # /timestep_size
+Lnw3 = 0.25
+
+Lw4 = 0.25 # /timestep_size
+Lnw4 = 0.25
+
+Lw5 = 0.25 # /timestep_size
+Lnw5 = 0.25
+
+Lw6 = 0.25 # /timestep_size
+Lnw6 = 0.25
+
+lambda12_w = 4
+lambda12_nw = 4
+
+lambda23_w = 4
+lambda23_nw = 4
+
+lambda24_w = 4
+lambda24_nw= 4
+
+lambda25_w= 4
+lambda25_nw= 4
+
+lambda34_w = 4
+lambda34_nw = 4
-Lw = 0.025 #/timestep_size
-Lnw=Lw
+lambda36_w = 4
+lambda36_nw = 4
-lambda_w = 8
-lambda_nw = 8
+lambda45_w = 4
+lambda45_nw = 4
+
+lambda46_w = 4
+lambda46_nw = 4
+
+lambda56_w = 4
+lambda56_nw = 4
include_gravity = False
-debugflag = False
-analyse_condition = True
+debugflag = True
+analyse_condition = False
-if mesh_study:
- output_string = "./output/{}-{}_timesteps{}_P{}".format(datestr, use_case, number_of_timesteps, FEM_Lagrange_degree)
-else:
- for tol in resolutions.values():
- solver_tol = tol
- output_string = "./output/{}-{}_timesteps{}_P{}_solver_tol{}".format(datestr, use_case, number_of_timesteps, FEM_Lagrange_degree, solver_tol)
+# I/O CONFIG #################################################################
+# when number_of_timesteps is high, it might take a long time to write all
+# timesteps to disk. Therefore, you can choose to only write data of every
+# plot_timestep_every timestep to disk.
+plot_timestep_every = 1
+# Decide how many timesteps you want analysed. Analysed means, that
+# subsequent errors of the L-iteration within the timestep are written out.
+number_of_timesteps_to_analyse = 5
-# toggle what should be written to files
+# fine grained control over data to be written to disk in the mesh study case
+# as well as for a regular simuation for a fixed grid.
if mesh_study:
write_to_file = {
+ # output the relative errornorm (integration in space) w.r.t. an exact
+ # solution for each timestep into a csv file.
'space_errornorms': True,
+ # save the mesh and marker functions to disk
'meshes_and_markers': True,
+ # save xdmf/h5 data for each LDD iteration for timesteps determined by
+ # number_of_timesteps_to_analyse. I/O intensive!
'L_iterations_per_timestep': False,
+ # save solution to xdmf/h5.
'solutions': True,
+ # save absolute differences w.r.t an exact solution to xdmf/h5 file
+ # to monitor where on the domains errors happen
'absolute_differences': True,
+ # analyise condition numbers for timesteps determined by
+ # number_of_timesteps_to_analyse and save them over time to csv.
'condition_numbers': analyse_condition,
+ # output subsequent iteration errors measured in L^2 to csv for
+ # timesteps determined by number_of_timesteps_to_analyse.
+ # Usefull to monitor convergence of the acutal LDD solver.
'subsequent_errors': True
}
else:
@@ -92,6 +155,13 @@ else:
'subsequent_errors': True
}
+# OUTPUT FILE STRING #########################################################
+output_string = "./output/{}-{}_timesteps{}_P{}".format(
+ datestr, use_case, number_of_timesteps, FEM_Lagrange_degree
+ )
+
+
+# DOMAIN AND INTERFACES #######################################################
# global domain
subdomain0_vertices = [df.Point(-1.0,-1.0), #
df.Point(1.0,-1.0),#
@@ -103,6 +173,80 @@ interface12_vertices = [df.Point(-1.0, 0.8),
df.Point(0.5, 0.9),
df.Point(0.8, 0.7),
df.Point(1.0, 0.65)]
+
+
+ # interface23
+interface23_vertices = [df.Point(-1.0, 0.0),
+ df.Point(-0.35, 0.0),
+ # df.Point(6.5, 4.5),
+ df.Point(0.0, 0.0)]
+
+interface24_vertices = [interface23_vertices[2],
+ df.Point(0.6, 0.0),
+ ]
+
+interface25_vertices = [interface24_vertices[1],
+ df.Point(1.0, 0.0)
+ ]
+
+
+interface32_vertices = [interface23_vertices[2],
+ interface23_vertices[1],
+ interface23_vertices[0]]
+
+
+interface36_vertices = [df.Point(-1.0, -0.6),
+ df.Point(-0.6, -0.45)]
+
+
+interface46_vertices = [interface36_vertices[1],
+ df.Point(0.3, -0.25)]
+
+interface56_vertices = [interface46_vertices[1],
+ df.Point(0.65, -0.6),
+ df.Point(1.0, -0.7)]
+
+
+
+
+interface34_vertices = [interface36_vertices[1],
+ interface23_vertices[2]]
+
+# Interface 45 needs to be split, because of the shape. There can be triangles
+# with two facets on the interface and this creates a rogue dof type error when
+# integrating over that particular interface. Accordingly, the lambda_param
+# dictionary has two entries for that interface.
+interface45_vertices_a = [interface56_vertices[0],
+ df.Point(0.7, -0.2),#df.Point(0.7, -0.2),
+ ]
+interface45_vertices_b = [df.Point(0.7, -0.2),#df.Point(0.7, -0.2),
+ interface25_vertices[0]
+ ]
+
+# interface_vertices introduces a global numbering of interfaces.
+interface_def_points = [interface12_vertices,
+ interface23_vertices,
+ interface24_vertices,
+ interface25_vertices,
+ interface34_vertices,
+ interface36_vertices,
+ interface45_vertices_a,
+ interface45_vertices_b,
+ interface46_vertices,
+ interface56_vertices,
+ ]
+adjacent_subdomains = [[1,2],
+ [2,3],
+ [2,4],
+ [2,5],
+ [3,4],
+ [3,6],
+ [4,5],
+ [4,5],
+ [4,6],
+ [5,6]
+ ]
+
# subdomain1.
subdomain1_vertices = [interface12_vertices[0],
interface12_vertices[1],
@@ -117,32 +261,18 @@ subdomain1_vertices = [interface12_vertices[0],
# 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]]
+ 0: [subdomain1_vertices[4], #
+ subdomain1_vertices[5], # eastern boundary, outer boundary
+ subdomain1_vertices[6],
+ subdomain1_vertices[0]]
}
-
-# interface23
-interface23_vertices = [df.Point(-1.0, 0.0),
- df.Point(-0.35, 0.0),
- # df.Point(6.5, 4.5),
- df.Point(0.0, 0.0),
- df.Point(0.5, 0.0),
- # df.Point(11.5, 3.5),
- # df.Point(13.0, 3)
- df.Point(0.85, 0.0),
- df.Point(1.0, 0.0)
- ]
-
#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
+ interface24_vertices[1],
+ interface25_vertices[1], # southern boundary, 23 interface
subdomain1_vertices[4], # eastern boundary, outer boundary
subdomain1_vertices[3],
subdomain1_vertices[2],
@@ -150,54 +280,71 @@ subdomain2_vertices = [interface23_vertices[0],
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]]
+ 0: [subdomain2_vertices[9],
+ subdomain2_vertices[0]],
+ 1: [subdomain2_vertices[4],
+ subdomain2_vertices[5]]
}
-# interface34
-interface34_vertices = [df.Point(-1.0, -0.6),
- df.Point(-0.6, -0.45),
- df.Point(0.3, -0.25),
- df.Point(0.65, -0.6),
- df.Point(1.0, -0.7)]
-
-# 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_vertices = [interface36_vertices[0],
+ interface36_vertices[1],
+ # interface34_vertices[0],
+ interface34_vertices[1],
+ # interface32_vertices[0],
+ interface32_vertices[1],
+ interface32_vertices[2]
+ ]
subdomain3_outer_boundary_verts = {
- 0: [interface34_vertices[4],
- subdomain2_vertices[5]],
- 1: [subdomain2_vertices[0],
- interface34_vertices[0]]
+ 0: [subdomain3_vertices[4],
+ subdomain3_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]]
+
+# subdomain3
+subdomain4_vertices = [interface46_vertices[0],
+ interface46_vertices[1],
+ # interface45_vertices[1],
+ interface45_vertices_a[1],
+ interface24_vertices[1],
+ interface24_vertices[0],
+ interface34_vertices[1]
+ ]
+
+subdomain4_outer_boundary_verts = None
+
+subdomain5_vertices = [interface56_vertices[0],
+ interface56_vertices[1],
+ interface56_vertices[2],
+ interface25_vertices[1],
+ interface25_vertices[0],
+ interface45_vertices_b[1],
+ interface45_vertices_b[0]
+]
+
+
+subdomain5_outer_boundary_verts = {
+ 0: [subdomain5_vertices[2],
+ subdomain5_vertices[3]]
+}
+
+
+
+subdomain6_vertices = [subdomain0_vertices[0],
+ subdomain0_vertices[1], # southern boundary, outer boundary
+ interface56_vertices[2],
+ interface56_vertices[1],
+ interface56_vertices[0],
+ interface36_vertices[1],
+ interface36_vertices[0]
+ ]
+
+subdomain6_outer_boundary_verts = {
+ 0: [subdomain6_vertices[6],
+ subdomain6_vertices[0],
+ subdomain6_vertices[1],
+ subdomain6_vertices[2]]
}
@@ -205,14 +352,12 @@ subdomain_def_points = [subdomain0_vertices,#
subdomain1_vertices,#
subdomain2_vertices,#
subdomain3_vertices,#
- subdomain4_vertices
+ subdomain4_vertices,
+ subdomain5_vertices,
+ subdomain6_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.
@@ -221,158 +366,342 @@ outer_boundary_def_points = {
1: subdomain1_outer_boundary_verts,
2: subdomain2_outer_boundary_verts,
3: subdomain3_outer_boundary_verts,
- 4: subdomain4_outer_boundary_verts
+ 4: subdomain4_outer_boundary_verts,
+ 5: subdomain5_outer_boundary_verts,
+ 6: subdomain6_outer_boundary_verts
}
+# MODEL CONFIGURATION #########################################################
+
isRichards = {
1: False,
2: False,
3: False,
- 4: False
+ 4: False,
+ 5: False,
+ 6: False
}
-# isRichards = {
-# 1: True,
-# 2: True,
-# 3: True,
-# 4: True
-# }
# Dict of the form: { subdom_num : viscosity }
viscosity = {
- 1: {'wetting' :1,
- 'nonwetting': 1},
- 2: {'wetting' :1,
- 'nonwetting': 1},
- 3: {'wetting' :1,
- 'nonwetting': 1},
- 4: {'wetting' :1,
- 'nonwetting': 1},
+ 1: {'wetting' :1.0,
+ 'nonwetting': 1/50},
+ 2: {'wetting' :1.0,
+ 'nonwetting': 1/50},
+ 3: {'wetting' :1.0,
+ 'nonwetting': 1/50},
+ 4: {'wetting' :1.0,
+ 'nonwetting': 1/50},
+ 5: {'wetting' :1.0,
+ 'nonwetting': 1/50},
+ 6: {'wetting' :1.0,
+ 'nonwetting': 1/50},
}
# Dict of the form: { subdom_num : density }
densities = {
- 1: {'wetting': 1, #997
- 'nonwetting':1}, #1.225}},
- 2: {'wetting': 1, #997
- 'nonwetting':1}, #1.225}},
- 3: {'wetting': 1, #997
- 'nonwetting':1}, #1.225}},
- 4: {'wetting': 1, #997
- 'nonwetting':1}, #1.225}}
+ 1: {'wetting': 997.0, #997
+ 'nonwetting': 1.225}, #1}, #1.225},
+ 2: {'wetting': 997.0, #997
+ 'nonwetting': 1.225}, #1.225},
+ 3: {'wetting': 997.0, #997
+ 'nonwetting': 1.225}, #1.225},
+ 4: {'wetting': 997.0, #997
+ 'nonwetting': 1.225}, #1.225}
+ 5: {'wetting': 997.0, #997
+ 'nonwetting': 1.225}, #1.225},
+ 6: {'wetting': 997.0, #997
+ 'nonwetting': 1.225} #1.225}
}
-gravity_acceleration = 1
+gravity_acceleration = 9.81
# porosities taken from
# https://www.geotechdata.info/parameter/soil-porosity.html
# Dict of the form: { subdom_num : porosity }
porosity = {
- 1: 1, #0.2, # Clayey gravels, clayey sandy gravels
- 2: 1, #0.22, # Silty gravels, silty sandy gravels
- 3: 1, #0.37, # Clayey sands
- 4: 1, #0.2 # Silty or sandy clay
+ 1: 0.2, #0.2, # Clayey gravels, clayey sandy gravels
+ 2: 0.2, #0.22, # Silty gravels, silty sandy gravels
+ 3: 0.2, #0.37, # Clayey sands
+ 4: 0.2, #0.2 # Silty or sandy clay
+ 5: 0.2, #
+ 6: 0.2, #
}
# subdom_num : subdomain L for L-scheme
L = {
- 1: {'wetting' :Lw,
- 'nonwetting': Lnw},
- 2: {'wetting' :Lw,
- 'nonwetting': Lnw},
- 3: {'wetting' :Lw,
- 'nonwetting': Lnw},
- 4: {'wetting' :Lw,
- 'nonwetting': Lnw}
+ 1: {'wetting' :Lw1,
+ 'nonwetting': Lnw1},
+ 2: {'wetting' :Lw2,
+ 'nonwetting': Lnw2},
+ 3: {'wetting' :Lw3,
+ 'nonwetting': Lnw3},
+ 4: {'wetting' :Lw4,
+ 'nonwetting': Lnw4},
+ 5: {'wetting' :Lw5,
+ 'nonwetting': Lnw5},
+ 6: {'wetting' :Lw6,
+ 'nonwetting': Lnw6}
}
-# subdom_num : lambda parameter for the L-scheme
+
+# interface_num : lambda parameter for the L-scheme on that interface.
+# Note that interfaces are numbered starting from 0, because
+# adjacent_subdomains is a list and not a dict. Historic fuckup, I know
+# We have defined above as interfaces
+# # interface_vertices introduces a global numbering of interfaces.
+# interface_def_points = [interface12_vertices,
+# interface23_vertices,
+# interface24_vertices,
+# interface25_vertices,
+# interface34_vertices,
+# interface36_vertices,
+# interface45_vertices_a,
+# interface45_vertices_b,
+# interface46_vertices,
+# interface56_vertices,
+# ]
lambda_param = {
- 1: {'wetting': lambda_w,
- 'nonwetting': lambda_nw},#
- 2: {'wetting': lambda_w,
- 'nonwetting': lambda_nw},#
- 3: {'wetting': lambda_w,
- 'nonwetting': lambda_nw},#
- 4: {'wetting': lambda_w,
- 'nonwetting': lambda_nw},#
+ 0: {'wetting': lambda12_w,
+ 'nonwetting': lambda12_nw},
+ 1: {'wetting': lambda23_w,
+ 'nonwetting': lambda23_nw},
+ 2: {'wetting': lambda24_w,
+ 'nonwetting': lambda24_nw},
+ 3: {'wetting': lambda25_w,
+ 'nonwetting': lambda25_nw},
+ 4: {'wetting': lambda34_w,
+ 'nonwetting': lambda34_nw},
+ 5: {'wetting': lambda36_w,
+ 'nonwetting': lambda36_nw},
+ 6: {'wetting': lambda45_w,
+ 'nonwetting': lambda45_nw},
+ 7: {'wetting': lambda45_w,
+ 'nonwetting': lambda45_nw},
+ 8: {'wetting': lambda46_w,
+ 'nonwetting': lambda46_nw},
+ 9: {'wetting': lambda56_w,
+ 'nonwetting': lambda56_nw},
+}
+
+# after Lewis, see pdf file
+intrinsic_permeability = {
+ 1: 0.01, # sand
+ 2: 0.01, # sand, there is a range
+ 3: 0.01, #10e-2, # clay has a range
+ 4: 0.01, #10e-3
+ 5: 0.01, #10e-2, # clay has a range
+ 6: 0.01, #10e-3
}
-## relative permeabilty functions on subdomain 1
+# relative permeabilty functions on subdomain 1
def rel_perm1w(s):
# relative permeabilty wetting on subdomain1
- return s**2
+ return intrinsic_permeability[1]*s**2
def rel_perm1nw(s):
# relative permeabilty nonwetting on subdomain1
- return (1-s)**2
+ return intrinsic_permeability[1]*(1-s)**2
-## relative permeabilty functions on subdomain 2
+# relative permeabilty functions on subdomain 2
def rel_perm2w(s):
# relative permeabilty wetting on subdomain2
- return s**2
+ return intrinsic_permeability[2]*s**2
def rel_perm2nw(s):
- # relative permeabilty nonwetting on subdosym.cos(0.8*t - (0.8*x + 1/7*y))main2
- return (1-s)**2
+ # relative permeabilty nonwetting on subdomain2
+ return intrinsic_permeability[2]*(1-s)**2
+
+
+# relative permeabilty functions on subdomain 3
+def rel_perm3w(s):
+ # relative permeabilty wetting on subdomain3
+ return intrinsic_permeability[3]*s**3
+
+
+def rel_perm3nw(s):
+ # relative permeabilty nonwetting on subdomain3
+ return intrinsic_permeability[3]*(1-s)**3
+
+
+# relative permeabilty functions on subdomain 4
+def rel_perm4w(s):
+ # relative permeabilty wetting on subdomain4
+ return intrinsic_permeability[4]*s**3
+
+
+def rel_perm4nw(s):
+ # relative permeabilty nonwetting on subdomain4
+ return intrinsic_permeability[4]*(1-s)**3
+
+
+# relative permeabilty functions on subdomain 5
+def rel_perm5w(s):
+ # relative permeabilty wetting on subdomain5
+ return intrinsic_permeability[5]*s**3
+
+
+def rel_perm5nw(s):
+ # relative permeabilty nonwetting on subdomain5
+ return intrinsic_permeability[5]*(1-s)**3
+
+
+# relative permeabilty functions on subdomain 6
+def rel_perm6w(s):
+ # relative permeabilty wetting on subdomain6
+ return intrinsic_permeability[6]*s**3
+
+
+def rel_perm6nw(s):
+ # relative permeabilty nonwetting on subdomain6
+ return intrinsic_permeability[6]*(1-s)**3
_rel_perm1w = ft.partial(rel_perm1w)
_rel_perm1nw = ft.partial(rel_perm1nw)
+
_rel_perm2w = ft.partial(rel_perm2w)
_rel_perm2nw = ft.partial(rel_perm2nw)
+_rel_perm3w = ft.partial(rel_perm3w)
+_rel_perm3nw = ft.partial(rel_perm3nw)
+
+_rel_perm4w = ft.partial(rel_perm4w)
+_rel_perm4nw = ft.partial(rel_perm4nw)
+
+_rel_perm5w = ft.partial(rel_perm5w)
+_rel_perm5nw = ft.partial(rel_perm5nw)
+
+_rel_perm6w = ft.partial(rel_perm6w)
+_rel_perm6nw = ft.partial(rel_perm6nw)
+
subdomain1_rel_perm = {
- 'wetting': _rel_perm1w,#
+ 'wetting': _rel_perm1w,
'nonwetting': _rel_perm1nw
}
subdomain2_rel_perm = {
- 'wetting': _rel_perm2w,#
+ '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()
+subdomain3_rel_perm = {
+ 'wetting': _rel_perm3w,
+ 'nonwetting': _rel_perm3nw
+}
+
+subdomain4_rel_perm = {
+ 'wetting': _rel_perm4w,
+ 'nonwetting': _rel_perm4nw
+}
+
+subdomain5_rel_perm = {
+ 'wetting': _rel_perm5w,
+ 'nonwetting': _rel_perm5nw
+}
+
+subdomain6_rel_perm = {
+ 'wetting': _rel_perm6w,
+ 'nonwetting': _rel_perm6nw
+}
# 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
+ 2: subdomain2_rel_perm,
+ 3: subdomain3_rel_perm,
+ 4: subdomain4_rel_perm,
+ 5: subdomain5_rel_perm,
+ 6: subdomain6_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
+ return intrinsic_permeability[1]*2*s
+
def rel_perm1nw_prime(s):
# relative permeabilty on subdomain1
- return -2*(1-s)
+ return -1*intrinsic_permeability[1]*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 2*s
+ # relative permeabilty on subdomain2
+ return intrinsic_permeability[2]*2*s
+
def rel_perm2nw_prime(s):
- # relative permeabilty on subdomain1
- return -2*(1-s)
+ # relative permeabilty on subdomain2
+ return -1*intrinsic_permeability[2]*2*(1-s)
+
+
+# definition of the derivatives of the relative permeabilities
+# relative permeabilty functions on subdomain 3
+def rel_perm3w_prime(s):
+ # relative permeabilty on subdomain3
+ return intrinsic_permeability[3]*3*s**2
+
+
+def rel_perm3nw_prime(s):
+ # relative permeabilty on subdomain3
+ return -1*intrinsic_permeability[3]*3*(1-s)**2
+
+
+# definition of the derivatives of the relative permeabilities
+# relative permeabilty functions on subdomain 4
+def rel_perm4w_prime(s):
+ # relative permeabilty on subdomain4
+ return intrinsic_permeability[4]*3*s**2
+
+
+def rel_perm4nw_prime(s):
+ # relative permeabilty on subdomain4
+ return -1*intrinsic_permeability[4]*3*(1-s)**2
+
+
+# definition of the derivatives of the relative permeabilities
+# relative permeabilty functions on subdomain 5
+def rel_perm5w_prime(s):
+ # relative permeabilty on subdomain5
+ return intrinsic_permeability[5]*3*s**2
+
+
+def rel_perm5nw_prime(s):
+ # relative permeabilty on subdomain5
+ return -1*intrinsic_permeability[5]*3*(1-s)**2
+
+
+# definition of the derivatives of the relative permeabilities
+# relative permeabilty functions on subdomain 6
+def rel_perm6w_prime(s):
+ # relative permeabilty on subdomain6
+ return intrinsic_permeability[6]*3*s**2
+
+
+def rel_perm6nw_prime(s):
+ # relative permeabilty on subdomain6
+ return -1*intrinsic_permeability[6]*3*(1-s)**2
+
_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)
+_rel_perm3w_prime = ft.partial(rel_perm3w_prime)
+_rel_perm3nw_prime = ft.partial(rel_perm3nw_prime)
+_rel_perm4w_prime = ft.partial(rel_perm4w_prime)
+_rel_perm4nw_prime = ft.partial(rel_perm4nw_prime)
+_rel_perm5w_prime = ft.partial(rel_perm5w_prime)
+_rel_perm5nw_prime = ft.partial(rel_perm5nw_prime)
+_rel_perm6w_prime = ft.partial(rel_perm6w_prime)
+_rel_perm6nw_prime = ft.partial(rel_perm6nw_prime)
subdomain1_rel_perm_prime = {
'wetting': _rel_perm1w_prime,
@@ -385,110 +714,170 @@ subdomain2_rel_perm_prime = {
'nonwetting': _rel_perm2nw_prime
}
+subdomain3_rel_perm_prime = {
+ 'wetting': _rel_perm3w_prime,
+ 'nonwetting': _rel_perm3nw_prime
+}
+
+
+subdomain4_rel_perm_prime = {
+ 'wetting': _rel_perm4w_prime,
+ 'nonwetting': _rel_perm4nw_prime
+}
+
+subdomain5_rel_perm_prime = {
+ 'wetting': _rel_perm5w_prime,
+ 'nonwetting': _rel_perm5nw_prime
+}
+
+subdomain6_rel_perm_prime = {
+ 'wetting': _rel_perm6w_prime,
+ 'nonwetting': _rel_perm6nw_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
+ 2: subdomain2_rel_perm_prime,
+ 3: subdomain3_rel_perm_prime,
+ 4: subdomain4_rel_perm_prime,
+ 5: subdomain5_rel_perm_prime,
+ 6: subdomain6_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
+# 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):
+# 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=3, alpha=0.001),
+# 4: ft.partial(saturation_sym, n_index=3, alpha=0.001),
+# 5: ft.partial(saturation_sym, n_index=3, alpha=0.001),
+# 6: ft.partial(saturation_sym, n_index=3, 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=3, alpha=0.001),
+# 4: ft.partial(saturation_sym_prime, n_index=3, alpha=0.001),
+# 5: ft.partial(saturation_sym_prime, n_index=3, alpha=0.001),
+# 6: ft.partial(saturation_sym_prime, n_index=3, 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=3, alpha=0.001),
+# 4: ft.partial(saturation, n_index=3, alpha=0.001),
+# 5: ft.partial(saturation, n_index=3, alpha=0.001),
+# 6: ft.partial(saturation, n_index=3, alpha=0.001)
+# }
+
+def saturation(pc, n_index):
# inverse capillary pressure-saturation-relationship
- return df.conditional(pc > 0, 1/((1 + (alpha*pc)**n_index)**((n_index - 1)/n_index)), 1)
+ return df.conditional(pc > 0, 1/((1 + pc)**(1/(n_index + 1))), 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):
+def saturation_sym(pc, n_index):
# inverse capillary pressure-saturation-relationship
- #df.conditional(pc > 0,
- return 1/((1 + (alpha*pc)**n_index)**((n_index - 1)/n_index))
+ return 1/((1 + pc)**(1/(n_index + 1)))
-# 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):
+def saturation_sym_prime(pc, n_index):
# 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) )
+ return -1/((n_index+1)*(1 + pc)**((n_index+2)/(n_index+1)))
-# 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=3, alpha=0.001),
- 4: ft.partial(saturation_sym, n_index=3, alpha=0.001)
+ 1: ft.partial(saturation_sym, n_index=1),
+ 2: ft.partial(saturation_sym, n_index=1),
+ 3: ft.partial(saturation_sym, n_index=2),
+ 4: ft.partial(saturation_sym, n_index=2),
+ 5: ft.partial(saturation_sym, n_index=2),
+ 6: ft.partial(saturation_sym, n_index=2)
}
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=3, alpha=0.001),
- 4: ft.partial(saturation_sym_prime, n_index=3, alpha=0.001)
+ 1: ft.partial(saturation_sym_prime, n_index=1),
+ 2: ft.partial(saturation_sym_prime, n_index=1),
+ 3: ft.partial(saturation_sym_prime, n_index=2),
+ 4: ft.partial(saturation_sym_prime, n_index=2),
+ 5: ft.partial(saturation_sym_prime, n_index=2),
+ 6: ft.partial(saturation_sym_prime, n_index=2)
}
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=3, alpha=0.001),
- 4: ft.partial(saturation, n_index=3, alpha=0.001)
+ 1: ft.partial(saturation, n_index=1),
+ 2: ft.partial(saturation, n_index=1),
+ 3: ft.partial(saturation, n_index=2),
+ 4: ft.partial(saturation, n_index=2),
+ 5: ft.partial(saturation, n_index=2),
+ 6: ft.partial(saturation, n_index=2)
}
-#############################################
+###############################################################################
# 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_2patch = {
- 1: {'wetting': -7 - (1+t*t)*(1 + x*x + y*y),
- 'nonwetting': -1-t*(1.1 + y + x**2)},
- 2: {'wetting': -7.0 - (1.0 + t*t)*(1.0 + x*x + y*y),
- 'nonwetting': -1-t*(1.1 + y + x**2)},
-}
p_e_sym = {
- 1: {'wetting': p_e_sym_2patch[1]['wetting'],
- 'nonwetting': p_e_sym_2patch[1]['nonwetting']},
- 2: {'wetting': p_e_sym_2patch[1]['wetting'],
- 'nonwetting': p_e_sym_2patch[1]['nonwetting']},
- 3: {'wetting': p_e_sym_2patch[2]['wetting'],
- 'nonwetting': p_e_sym_2patch[2]['nonwetting']},
- 4: {'wetting': p_e_sym_2patch[2]['wetting'],
- 'nonwetting': p_e_sym_2patch[2]['nonwetting']}
+ 1: {'wetting': -6.0 - (1.0 + t*t)*(1.0 + x*x + y*y),
+ 'nonwetting': (-1 -t*(1.1 + y + x**2)) },
+ 2: {'wetting': -6.0 - (1.0 + t*t)*(1.0 + x*x + y*y),
+ 'nonwetting': (-1 -t*(1.1 + y + x**2)) },
+ 3: {'wetting': (-6.0 - (1.0 + t*t)*(1.0 + x*x)),
+ 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sin(2+t**2)*y**2) },
+ 4: {'wetting': (-6.0 - (1.0 + t*t)*(1.0 + x*x)),
+ 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sin(2+t**2)*y**2) },
+ 5: {'wetting': (-6.0 - (1.0 + t*t)*(1.0 + x*x)),
+ 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sin(2+t**2)*y**2) },
+ 6: {'wetting': (-6.0 - (1.0 + t*t)*(1.0 + x*x)),
+ 'nonwetting': (-1 -t*(1.0 + x**2) - sym.sin(2+t**2)*y**2) },
}
-# 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)) - (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)) - (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 = dict()
for subdomain, isR in isRichards.items():
if isR:
- pc_e_sym.update({subdomain: -p_e_sym[subdomain]['wetting']})
+ pc_e_sym.update({subdomain: -p_e_sym[subdomain]['wetting'].copy()})
else:
- pc_e_sym.update({subdomain: p_e_sym[subdomain]['nonwetting']
- - p_e_sym[subdomain]['wetting']})
+ pc_e_sym.update({subdomain: p_e_sym[subdomain]['nonwetting'].copy()
+ - p_e_sym[subdomain]['wetting'].copy()})
symbols = {"x": x,
@@ -515,6 +904,7 @@ source_expression = exact_solution_example['source']
exact_solution = exact_solution_example['exact_solution']
initial_condition = exact_solution_example['initial_condition']
+# BOUNDARY CONDITIONS #########################################################
# Dictionary of dirichlet boundary conditions.
dirichletBC = dict()
# similarly to the outer boundary dictionary, if a patch has no outer boundary
@@ -531,7 +921,7 @@ dirichletBC = dict()
# subdomain index: {outer boudary part index: {phase: expression}}
for subdomain in isRichards.keys():
- # if subdomain has no outer boundary, outer_boundary_def_points[subdomain] is None
+ # subdomain can have no outer boundary
if outer_boundary_def_points[subdomain] is None:
dirichletBC.update({subdomain: None})
else:
@@ -543,6 +933,16 @@ for subdomain in isRichards.keys():
{outer_boundary_ind: exact_solution[subdomain]}
)
+
+# LOG FILE OUTPUT #############################################################
+# read this file and print it to std out. This way the simulation can produce a
+# log file with ./TP-R-layered_soil.py | tee simulation.log
+f = open(thisfile, 'r')
+print(f.read())
+f.close()
+
+
+# RUN #########################################################################
for starttime in starttimes:
for mesh_resolution, solver_tol in resolutions.items():
# initialise LDD simulation class
@@ -555,33 +955,35 @@ for starttime in starttimes:
mesh_study=mesh_study
)
- simulation.set_parameters(use_case=use_case,
- output_dir=output_string,
- 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,
- plot_timestep_every=plot_timestep_every,
- timestep_size=timestep_size,
- sources=source_expression,
- initial_conditions=initial_condition,
- dirichletBC_expression_strings=dirichletBC,
- exact_solution=exact_solution,
- densities=densities,
- include_gravity=include_gravity,
- write2file=write_to_file,
- )
+ simulation.set_parameters(
+ use_case=use_case,
+ output_dir=output_string,
+ 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,
+ plot_timestep_every=plot_timestep_every,
+ timestep_size=timestep_size,
+ sources=source_expression,
+ initial_conditions=initial_condition,
+ dirichletBC_expression_strings=dirichletBC,
+ exact_solution=exact_solution,
+ densities=densities,
+ include_gravity=include_gravity,
+ gravity_acceleration=gravity_acceleration,
+ write2file=write_to_file,
+ )
simulation.initialise()
output_dir = simulation.output_dir
@@ -589,26 +991,39 @@ for starttime in starttimes:
output = simulation.run(analyse_condition=analyse_condition)
for subdomain_index, subdomain_output in output.items():
mesh_h = subdomain_output['mesh_size']
- for phase, different_errornorms in subdomain_output['errornorm'].items():
- filename = output_dir + "subdomain{}-space-time-errornorm-{}-phase.csv".format(subdomain_index, phase)
- # for errortype, errornorm in different_errornorms.items():
-
- # eocfile = open("eoc_filename", "a")
- # eocfile.write( str(mesh_h) + " " + str(errornorm) + "\n" )
- # eocfile.close()
- # if subdomain.isRichards:mesh_h
+ for phase, error_dict in subdomain_output['errornorm'].items():
+ filename = output_dir \
+ + "subdomain{}".format(subdomain_index)\
+ + "-space-time-errornorm-{}-phase.csv".format(phase)
+ # for errortype, errornorm in error_dict.items():
+
+ # eocfile = open("eoc_filename", "a")
+ # eocfile.write( str(mesh_h) + " " + str(errornorm) + "\n" )
+ # eocfile.close()
+ # if subdomain.isRichards:mesh_h
data_dict = {
'mesh_parameter': mesh_resolution,
'mesh_h': mesh_h,
}
- for error_type, errornorms in different_errornorms.items():
+ for norm_type, errornorm in error_dict.items():
data_dict.update(
- {error_type: errornorms}
+ {norm_type: errornorm}
)
errors = pd.DataFrame(data_dict, index=[mesh_resolution])
# check if file exists
- if os.path.isfile(filename) == True:
+ if os.path.isfile(filename) is True:
with open(filename, 'a') as f:
- errors.to_csv(f, header=False, sep='\t', encoding='utf-8', index=False)
+ errors.to_csv(
+ f,
+ header=False,
+ sep='\t',
+ encoding='utf-8',
+ index=False
+ )
else:
- errors.to_csv(filename, sep='\t', encoding='utf-8', index=False)
+ errors.to_csv(
+ filename,
+ sep='\t',
+ encoding='utf-8',
+ index=False
+ )
--
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