From 230d0cb5beb8c5570302b670423cf886060ca21b Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Maximilian=20H=C3=B6rl?=
 <maximilian.hoerl@mathematik.uni-stuttgart.de>
Date: Mon, 23 Mar 2020 15:44:06 +0100
Subject: [PATCH] add new problem mmdg3

---
 dune/mmdg/problems/mmdgproblem3.hh |   85 ++
 src/grids/mmdg3.geo                |   27 +
 src/grids/mmdg3.msh                | 1630 ++++++++++++++++++++++++++++
 src/mmdg.cc                        |    6 +
 4 files changed, 1748 insertions(+)
 create mode 100644 dune/mmdg/problems/mmdgproblem3.hh
 create mode 100644 src/grids/mmdg3.geo
 create mode 100644 src/grids/mmdg3.msh

diff --git a/dune/mmdg/problems/mmdgproblem3.hh b/dune/mmdg/problems/mmdgproblem3.hh
new file mode 100644
index 0000000..bfb78bb
--- /dev/null
+++ b/dune/mmdg/problems/mmdgproblem3.hh
@@ -0,0 +1,85 @@
+#ifndef __DUNE_MMDG_MMDGPROBLEM3_HH__
+#define __DUNE_MMDG_MMDGPROBLEM3_HH__
+
+#include <cmath>
+#include <dune/mmdg/problems/coupleddgproblem.hh>
+
+//a coupled dg problem for dim = 2,
+//taken from [Antonietti et al. (2019): Example 6.3]
+template<class Coordinate, class Scalar = double>
+class MMDGProblem3 : public CoupledDGProblem<Coordinate, Scalar>
+{
+  public:
+    static constexpr int dim = Coordinate::dimension;
+
+    //the exact bulk solution at position pos
+    Scalar exactSolution (const Coordinate& pos) const
+    {
+      Scalar xPlusy = pos * Coordinate(1.0);
+      Scalar solution = std::exp(xPlusy);
+      return (xPlusy < 1.0) ? solution :
+        0.5 * solution + std::exp(1.0) * (0.5 + 1.5 * sqrt(2) * this->aperture(pos));
+    }
+
+    //the exact solution on the interface at position pos
+    Scalar exactInterfaceSolution (const Coordinate& pos) const
+    {
+      return std::exp(1.0) * (1.0 + sqrt(2) * this->aperture(pos));
+    }
+
+    //indicates whether an exact solution is implemented for the problem
+    bool hasExactSolution () const
+    {
+      return true;
+    };
+
+    //bulk source term at position pos
+    Scalar q (const Coordinate& pos) const
+    {
+      Scalar xPlusy = pos * Coordinate(1.0);
+      Scalar source = -std::exp(xPlusy);
+      return (xPlusy < 1.0) ? -2.0 * source : source;
+    }
+
+    //interface source term at position pos
+    Scalar qInterface (const Coordinate& pos) const
+    {
+      return std::exp(1.0) / sqrt(2);
+    }
+
+    // //aperture d of the fracture at position pos
+    // Scalar aperture (const Coordinate& pos) const
+    // {
+    //   return Scalar(1.0);
+    // }
+
+    //returns the recommended quadrature order to compute an integral
+    //over x * q(x)
+    int quadratureOrder_q () const
+    {
+      return 10;
+    }
+
+    //returns the recommended quadrature order to compute an integral
+    //over x * boundary(x)
+    int quadratureOrderBoundary () const
+    {
+      return 10;
+    }
+
+    //returns the recommended quadrature order to compute an integral
+    //over x * interfaceBoundary(x)
+    int quadratureOrderInterfaceBoundary () const
+    { //NOTE: only relevant for 3d, not implemented!
+      return 10;
+    }
+
+    //returns the recommended quadrature order to compute an integral
+    //over x * qInterface(x)
+    int quadratureOrder_qInterface () const
+    {
+      return 10;
+    }
+};
+
+#endif
diff --git a/src/grids/mmdg3.geo b/src/grids/mmdg3.geo
new file mode 100644
index 0000000..d8b8a95
--- /dev/null
+++ b/src/grids/mmdg3.geo
@@ -0,0 +1,27 @@
+//characteristic length
+lc = 5e-2;
+
+//domain corners, domain = [0,1] x [0,1]
+Point(1) = {0, 0, 0, lc};
+Point(2) = {1, 0, 0, lc};
+Point(3) = {1, 1, 0, lc};
+Point(4) = {0, 1, 0, lc};
+
+//domain outline
+Line(1) = {1, 2};
+Line(2) = {2, 3};
+Line(3) = {3, 4};
+Line(4) = {4, 1};
+
+//interface outline
+Line(5) = {2,4};
+
+//curve loops
+Curve Loop(1) = {1:4}; //domain boundary
+
+//surfaces
+Plane Surface(1) = {1};
+Physical Surface(1) = {1};
+
+Curve{5} In Surface{1};
+Physical Curve(2) = {5};
diff --git a/src/grids/mmdg3.msh b/src/grids/mmdg3.msh
new file mode 100644
index 0000000..8e2c9b1
--- /dev/null
+++ b/src/grids/mmdg3.msh
@@ -0,0 +1,1630 @@
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+981 2 2 1 1 121 347 549
+982 2 2 1 1 246 325 505
+983 2 2 1 1 326 244 507
+984 2 2 1 1 245 327 506
+985 2 2 1 1 328 243 508
+986 2 2 1 1 204 323 512
+987 2 2 1 1 324 202 511
+988 2 2 1 1 349 97 509
+989 2 2 1 1 97 350 510
+990 2 2 1 1 33 34 523
+991 2 2 1 1 71 72 524
+992 2 2 1 1 13 14 521
+993 2 2 1 1 51 52 522
+994 2 2 1 1 90 91 535
+995 2 2 1 1 91 90 536
+996 2 2 1 1 357 169 463
+997 2 2 1 1 170 358 464
+998 2 2 1 1 192 466 531
+999 2 2 1 1 465 191 532
+1000 2 2 1 1 122 385 550
+1001 2 2 1 1 386 121 549
+1002 2 2 1 1 392 481 554
+1003 2 2 1 1 482 391 553
+1004 2 2 1 1 349 211 540
+1005 2 2 1 1 212 350 539
+1006 2 2 1 1 163 349 540
+1007 2 2 1 1 350 164 539
+1008 2 2 1 1 211 349 509
+1009 2 2 1 1 350 212 510
+1010 2 2 1 1 189 390 481
+1011 2 2 1 1 389 190 482
+1012 2 2 1 1 91 416 535
+1013 2 2 1 1 415 91 536
+1014 2 2 1 1 164 363 542
+1015 2 2 1 1 364 163 541
+1016 2 2 1 1 416 215 535
+1017 2 2 1 1 216 415 536
+1018 2 2 1 1 264 468 470
+1019 2 2 1 1 467 263 469
+1020 2 2 1 1 468 187 470
+1021 2 2 1 1 188 467 469
+1022 2 2 1 1 183 409 475
+1023 2 2 1 1 410 184 476
+1024 2 2 1 1 365 192 531
+1025 2 2 1 1 191 366 532
+1026 2 2 1 1 214 440 538
+1027 2 2 1 1 439 213 537
+1028 2 2 1 1 163 371 541
+1029 2 2 1 1 372 164 542
+1030 2 2 1 1 433 185 473
+1031 2 2 1 1 186 434 474
+1032 2 2 1 1 371 163 540
+1033 2 2 1 1 164 372 539
+1034 2 2 1 1 371 210 541
+1035 2 2 1 1 209 372 542
+1036 2 2 1 1 129 425 508
+1037 2 2 1 1 130 426 507
+1038 2 2 1 1 427 131 506
+1039 2 2 1 1 428 132 505
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+1041 2 2 1 1 422 284 499
+1042 2 2 1 1 387 224 543
+1043 2 2 1 1 223 388 544
+1044 2 2 1 1 385 230 550
+1045 2 2 1 1 229 386 549
+1046 2 2 1 1 391 217 553
+1047 2 2 1 1 218 392 554
+1048 2 2 1 1 107 370 501
+1049 2 2 1 1 369 107 502
+1050 2 2 1 1 82 367 503
+1051 2 2 1 1 368 82 504
+1052 2 2 1 1 217 465 553
+1053 2 2 1 1 466 218 554
+1054 2 2 1 1 465 111 553
+1055 2 2 1 1 113 466 554
+1056 2 2 1 1 513 289 557
+1057 2 2 1 1 290 514 558
+1058 2 2 1 1 469 114 544
+1059 2 2 1 1 112 470 543
+1060 2 2 1 1 138 513 557
+1061 2 2 1 1 514 139 558
+1062 2 2 1 1 481 113 554
+1063 2 2 1 1 111 482 553
+$EndElements
diff --git a/src/mmdg.cc b/src/mmdg.cc
index 2ed9097..fc9d19b 100644
--- a/src/mmdg.cc
+++ b/src/mmdg.cc
@@ -22,6 +22,7 @@
 #include <dune/mmdg/problems/coupleddgproblem.hh>
 #include <dune/mmdg/problems/mmdgproblem1.hh>
 #include <dune/mmdg/problems/mmdgproblem2.hh>
+#include <dune/mmdg/problems/mmdgproblem3.hh>
 
 int main(int argc, char** argv)
 {
@@ -69,6 +70,11 @@ int main(int argc, char** argv)
       problem = new MMDGProblem2<Coordinate>();
       gridType = "mmdg2";
     }
+    else if (pt["problem"] == "mmdg3")
+    {
+      problem = new MMDGProblem3<Coordinate>();
+      gridType = "mmdg3";
+    }
     else
     {
       DUNE_THROW(Dune::Exception,
-- 
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