diff --git a/dune/mmdg/mmdg.hh b/dune/mmdg/mmdg.hh
index e575f73dc56e855ac29dbf67a89a2596e2c9f4c9..e881d5e45fce9c20c5f45b69dccb2b95fabc3e67 100644
--- a/dune/mmdg/mmdg.hh
+++ b/dune/mmdg/mmdg.hh
@@ -36,18 +36,8 @@ public:
assembleSLE(mu, xi);
//Base::A->compress();
- for (int i = 0; i < Base::dof_; i++)
- for (int j = 0; j < i; j++)
- /*assert*/if(std::abs((*Base::A)[i][j] - (*Base::A)[j][i]) >
- std::numeric_limits<Scalar>::epsilon())
- std::cout << "NON-symmetric!: " << i << ", " << j << std::endl;
-
- std::cout << *Base::A << std::endl;
-
(*Base::A).solve(Base::d, Base::b);
- std::cout << "\n\n" << Base::b << "\n\n" << Base::d << "\n\n";
-
// Dune::InverseOperatorResult result;
// Dune::UMFPack<Matrix> solver(*Base::A);
// solver.apply(Base::d, Base::b, result);
@@ -98,7 +88,9 @@ public:
}
}
- std::cout << "ERROR bulk: " << bulkError << "\t ERROR interface: " << sqrt(interfaceError) << "\n";
+ //print bulk and interface error
+ std::cout << "ERROR bulk: " << bulkError << "\t ERROR interface: " <<
+ sqrt(interfaceError) << "\n";
return sqrt(bulkError * bulkError + interfaceError);
}
@@ -113,7 +105,7 @@ private:
//modell parameter
const auto beta = [this, &xi](const Coordinate& pos) -> Scalar
{
- return 4 * Base::problem_.Kperp(pos) / (2 * xi - 1);
+ return 4.0 * Base::problem_.Kperp(pos) / (2.0 * xi - 1.0);
};
//quadrature rules
@@ -158,12 +150,6 @@ private:
const auto& iGeo = iElem.geometry();
const auto& intersct = Base::gridView_.grid().asIntersection(iElem);
- if ( Base::mapper_.index(intersct.inside())
- > Base::mapper_.index(intersct.outside()) )
- {
- std::cout << "INDEX ERROR!\n\n";
- }
-
//get basis of the interface coordinate system for evaluation of
//basis function phi_iElem,i with i=1,...,dim-1
const InterfaceBasis iFrame =
@@ -189,8 +175,7 @@ private:
ip.weight() * iGeo.integrationElement(qpLocal);
const Scalar betaEvaluation = beta(qpGlobal);
- (*Base::A)[iElemIdxSLE][iElemIdxSLE] +=
- quadratureFactor * betaEvaluation;
+ (*Base::A)[iElemIdxSLE][iElemIdxSLE] += quadratureFactor * betaEvaluation;
for (int i = 0; i < dim - 1; i++)
{
@@ -400,7 +385,7 @@ private:
//and for elem in {elemIn, elemOut} using a quadrature rule
for (const auto& ip : rule_KperpPlus1) //TODO: symmetrize more efficiently
//TODO: apply quadrature rule only once
- { //TODO TODO TODO
+ {
const auto& qpLocal = ip.position();
const auto& qpGlobal = iGeo.global(qpLocal);
@@ -645,7 +630,7 @@ private:
dEvaluation2 * (interfaceUpdate1 - interfaceUpdate2);
Base::b[iElemIdxSLE + i + 1] +=
- d2gGamma * (mu * centerI - interfaceUpdate2);
+ d2gGamma * (interfaceUpdate1 - interfaceUpdate2);
(*Base::A)[iElemIdxSLE + i + 1][iElemIdxSLE] +=
interfaceUpdate3;
diff --git a/dune/mmdg/problems/coupleddgproblem.hh b/dune/mmdg/problems/coupleddgproblem.hh
index 72b1f03eb86a6ec4d24d93d2e7e2bf476261f818..10488bfe8d4bcc572f9260dde50ecab2282512ca 100644
--- a/dune/mmdg/problems/coupleddgproblem.hh
+++ b/dune/mmdg/problems/coupleddgproblem.hh
@@ -9,81 +9,81 @@
template<class Coordinate, class Scalar = double>
class CoupledDGProblem : public DGProblem<Coordinate, Scalar>
{
- public:
- static constexpr int dim = Coordinate::dimension;
- using Base = DGProblem<Coordinate, Scalar>;
- using Matrix = typename Base::Matrix;
+public:
+ static constexpr int dim = Coordinate::dimension;
+ using Base = DGProblem<Coordinate, Scalar>;
+ using Matrix = typename Base::Matrix;
- //the exact solution on the interface at position pos
- virtual Scalar exactInterfaceSolution (const Coordinate& pos) const
- {
- return Scalar(0.0);
- }
+ //the exact solution on the interface at position pos
+ virtual Scalar exactInterfaceSolution (const Coordinate& pos) const
+ {
+ return Scalar(0.0);
+ }
- //interface source term at position pos
- virtual Scalar qInterface (const Coordinate& pos) const
- {
- return Scalar(0.0);
- }
+ //interface source term at position pos
+ virtual Scalar qInterface (const Coordinate& pos) const
+ {
+ return Scalar(0.0);
+ }
- //aperture d of the fracture at position pos
- virtual Scalar aperture (const Coordinate& pos) const
- {
- return Scalar(1.0);
- }
+ //aperture d of the fracture at position pos
+ virtual Scalar aperture (const Coordinate& pos) const
+ {
+ return Scalar(1.0);
+ }
- virtual Scalar interfaceBoundary(const Coordinate& pos) const
- {
- return exactInterfaceSolution(pos);
- }
+ virtual Scalar interfaceBoundary(const Coordinate& pos) const
+ {
+ return exactInterfaceSolution(pos);
+ }
- //tangential permeability tensor of the interface at position pos
- virtual Matrix Kparallel (const Coordinate& pos) const
- {
- Matrix permeability(0.0);
+ //tangential permeability per aperture tensor of the interface at position pos
+ virtual Matrix Kparallel (const Coordinate& pos) const
+ {
+ Matrix permeability(0.0);
- for (int i = 0; i < dim; i++)
- {
- permeability[i][i] = 1.0;
- }
-
- //return identity matrix
- return permeability;
- }
-
- //permeability of the fracture in normal direction at position pos
- virtual Scalar Kperp (const Coordinate& pos) const
+ for (int i = 0; i < dim; i++)
{
- return Scalar(1.0);
+ permeability[i][i] = 1.0;
}
- //returns the recommended quadrature order to compute an integral
- //over x * qInterface(x)
- virtual int quadratureOrder_qInterface () const
- {
- return 1;
- }
+ //return identity matrix
+ return permeability;
+ }
- //returns the recommended quadrature order to compute an integral
- //over x * interfaceBoundary(x)
- virtual int quadratureOrderInterfaceBoundary () const
- { //NOTE: only relevant for 3d, not implemented!
- return 1;
- }
+ //permeability per aperture of the fracture in normal direction at position pos
+ virtual Scalar Kperp (const Coordinate& pos) const
+ {
+ return Scalar(1.0);
+ }
- //returns the recommended quadrature order to compute an integral
- //over Kparallel(x)
- virtual int quadratureOrder_Kparallel () const
- {
- return 1;
- }
+ //returns the recommended quadrature order to compute an integral
+ //over x * qInterface(x)
+ virtual int quadratureOrder_qInterface () const
+ {
+ return 1;
+ }
- //returns the recommended quadrature order to compute an integral
- //over x * Kperp(x) / d(x)
- virtual int quadratureOrder_Kperp () const
- {
- return 1;
- }
+ //returns the recommended quadrature order to compute an integral
+ //over x * interfaceBoundary(x)
+ virtual int quadratureOrderInterfaceBoundary () const
+ { //NOTE: only relevant for 3d, not implemented!
+ return 1;
+ }
+
+ //returns the recommended quadrature order to compute an integral
+ //over Kparallel(x)
+ virtual int quadratureOrder_Kparallel () const
+ {
+ return 1;
+ }
+
+ //returns the recommended quadrature order to compute an integral
+ //over x * Kperp(x) / d(x)
+ virtual int quadratureOrder_Kperp () const
+ {
+ return 1;
+ }
};
#endif
diff --git a/dune/mmdg/problems/mmdgproblem1.hh b/dune/mmdg/problems/mmdgproblem1.hh
index c2008c84a30afc7d4f1f2ece79b7ba61f3bbd676..c5efe4ba3d24aaa5107fb1e43dad3d1cce499197 100644
--- a/dune/mmdg/problems/mmdgproblem1.hh
+++ b/dune/mmdg/problems/mmdgproblem1.hh
@@ -4,58 +4,87 @@
#include <cmath>
#include <dune/mmdg/problems/coupleddgproblem.hh>
-//a coupled dg problem for dim = 2,
-//taken from [Antonietti et al. (2019): Example 6.3]
+//a coupled dg problem
template<class Coordinate, class Scalar = double>
class MMDGProblem1 : public CoupledDGProblem<Coordinate, Scalar>
{
- public:
- static constexpr int dim = Coordinate::dimension;
+public:
+ static constexpr int dim = Coordinate::dimension;
+ using Base = CoupledDGProblem<Coordinate, Scalar>;
+ using Matrix = typename Base::Matrix;
- //the exact bulk solution at position pos
- Scalar exactSolution (const Coordinate& pos) const
- {
- Scalar solution = pos * Coordinate(1.0);
-
- if (pos[0] > 0.5)
- {
- solution += 1.0;
- }
+ //constructor
+ MMDGProblem1 (const Scalar d) : d_(d) {}
- return solution;
- }
+ //the exact bulk solution at position pos
+ Scalar exactSolution (const Coordinate& pos) const
+ {
+ return (pos[0] < 0.5) ? pos[0] / (1.0 + d_) : (pos[0] - 1.0) / (1.0 + d_) + 1.0;
+ Scalar solution = pos * Coordinate(1.0);
- //the exact solution on the interface at position pos
- Scalar exactInterfaceSolution (const Coordinate& pos) const
+ if (pos[0] > 0.5)
{
- return pos * Coordinate(1.0) + 0.5;
+ solution += 1.0;
}
- //indicates whether an exact solution is implemented for the problem
- bool hasExactSolution () const
- {
- return true;
- };
+ return solution;
+ }
- //aperture d of the fracture at position pos
- Scalar aperture (const Coordinate& pos) const
- {
- return Scalar(1.0);
- }
+ //the exact solution on the interface at position pos
+ Scalar exactInterfaceSolution (const Coordinate& pos) const
+ {
+ return 0.5;
+ return pos * Coordinate(1.0) + 0.5;
+ }
+
+ //indicates whether an exact solution is implemented for the problem
+ bool hasExactSolution () const
+ {
+ return true;
+ };
- //returns the recommended quadrature order to compute an integral
- //over x * boundary(x)
- int quadratureOrderBoundary () const
+ //aperture d of the fracture at position pos
+ Scalar aperture (const Coordinate& pos) const
+ {
+ return d_;
+ }
+
+ //tangential permeability tensor of the interface at position pos
+ Matrix Kparallel (const Coordinate& pos) const
+ {
+ Matrix permeability(0.0);
+
+ for (int i = 0; i < dim; i++)
{
- return 2;
+ permeability[i][i] = 1.0 / d_;
}
- //returns the recommended quadrature order to compute an integral
- //over x * interfaceBoundary(x)
- int quadratureOrderInterfaceBoundary () const
- { //NOTE: only relevant for 3d, not implemented!
- return 2;
- }
+ //return identity matrix
+ return permeability;
+ }
+
+ //permeability of the fracture in normal direction at position pos
+ Scalar Kperp (const Coordinate& pos) const
+ {
+ return Scalar(1.0) / d_;
+ }
+
+ //returns the recommended quadrature order to compute an integral
+ //over x * boundary(x)
+ int quadratureOrderBoundary () const
+ {
+ return 2;
+ }
+
+ //returns the recommended quadrature order to compute an integral
+ //over x * interfaceBoundary(x)
+ int quadratureOrderInterfaceBoundary () const
+ { //NOTE: only relevant for 3d, not implemented!
+ return 2;
+ }
+
+private:
+ Scalar d_; //aperture
};
#endif
diff --git a/dune/mmdg/problems/mmdgproblem2.hh b/dune/mmdg/problems/mmdgproblem2.hh
index 24610882dbb644752546693d1324c263720d2ed0..624cefc18767a6b5e601c2ec1aeab5f0c88b26b6 100644
--- a/dune/mmdg/problems/mmdgproblem2.hh
+++ b/dune/mmdg/problems/mmdgproblem2.hh
@@ -9,97 +9,87 @@
template<class Coordinate, class Scalar = double>
class MMDGProblem2 : public CoupledDGProblem<Coordinate, Scalar>
{
- public:
- static constexpr int dim = Coordinate::dimension;
- using Base = CoupledDGProblem<Coordinate, Scalar>;
- using Matrix = typename Base::Matrix;
+public:
+ static constexpr int dim = Coordinate::dimension;
+ using Base = CoupledDGProblem<Coordinate, Scalar>;
+ using Matrix = typename Base::Matrix;
- //the exact bulk solution at position pos
- Scalar exactSolution (const Coordinate& pos) const
- {
- Scalar solution =
- (pos[0] < 0.5) ? std::sin(4 * pos[0]) : std::cos(4 * pos[0]);
- return solution * std::cos(M_PI * pos[1]);
- }
+ //the exact bulk solution at position pos
+ Scalar exactSolution (const Coordinate& pos) const
+ {
+ Scalar solution = (pos[0] < 0.5) ? std::sin(4 * pos[0]) : std::cos(4 * pos[0]);
+ return solution * std::cos(M_PI * pos[1]);
+ }
- //the exact solution on the interface at position pos
- Scalar exactInterfaceSolution (const Coordinate& pos) const
- {
- constexpr Scalar cos2 = std::cos(2.0);
- constexpr Scalar sin2 = std::sin(2.0);
- return 0.75 * (cos2 + sin2) * std::cos(M_PI * pos[1]);
- }
+ //the exact solution on the interface at position pos
+ Scalar exactInterfaceSolution (const Coordinate& pos) const
+ {
+ constexpr Scalar sourcefactor = 0.75 * (std::cos(2.0) + std::sin(2.0));
+ return sourcefactor * std::cos(M_PI * pos[1]);
+ }
- //indicates whether an exact solution is implemented for the problem
- bool hasExactSolution () const
- {
- return true;
- };
+ //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
- {
- constexpr Scalar sourcefactor = 16.0 + M_PI * M_PI;
- Scalar source =
- (pos[0] < 0.5) ? std::sin(4 * pos[0]) : std::cos(4 * pos[0]);
- return sourcefactor * source * std::cos(M_PI * pos[1]);
- }
+ //bulk source term at position pos
+ Scalar q (const Coordinate& pos) const
+ {
+ constexpr Scalar sourcefactor = 16.0 + M_PI * M_PI;
+ Scalar source = (pos[0] < 0.5) ? std::sin(4 * pos[0]) : std::cos(4 * pos[0]);
+ return sourcefactor * source * std::cos(M_PI * pos[1]);
+ }
- //interface source term at position pos
- Scalar qInterface (const Coordinate& pos) const
- {
- constexpr Scalar sourcefactor =
- (std::cos(2.0) + std::sin(2.0)) * (4.0 + 0.1875 * M_PI * M_PI);
- return sourcefactor * aperture(pos) * std::cos(M_PI * pos[1]);
- }
+ //interface source term at position pos
+ Scalar qInterface (const Coordinate& pos) const
+ {
+ constexpr Scalar sourcefactor =
+ (std::cos(2.0) + std::sin(2.0)) * (4.0 + 3.0 / 64.0 * M_PI * M_PI);
+ return sourcefactor * std::cos(M_PI * pos[1]);
+ }
- //aperture d of the fracture at position pos
- Scalar aperture (const Coordinate& pos) const
- {
- return Scalar(0.25);
- }
+ //aperture d of the fracture at position pos
+ Scalar aperture (const Coordinate& pos) const
+ {
+ return Scalar(0.25);
+ }
- //tangential permeability tensor per aperture of the interface
- //at position pos
- Matrix Kparallel (const Coordinate& pos) const
- {
- return Base::Kparallel(pos) / aperture(pos);
- }
+ //permeability per aperture of the fracture per aperture in normal direction
+ //at position pos
+ Scalar Kperp (const Coordinate& pos) const
+ {
+ return Scalar(2.0);
+ }
- //permeability of the fracture per aperture in normal direction
- //at position pos
- virtual Scalar Kperp (const Coordinate& pos) const
- {
- return Scalar(2.0);
- }
+ //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 * 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 * 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 * 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;
- }
+ //returns the recommended quadrature order to compute an integral
+ //over x * qInterface(x)
+ int quadratureOrder_qInterface () const
+ {
+ return 10;
+ }
};
#endif
diff --git a/dune/mmdg/problems/mmdgproblem3.hh b/dune/mmdg/problems/mmdgproblem3.hh
index bfb78bb71286de6328d3e7b074cd324617a90bea..c279785b8d36568687d81bb77075ef8f319ce703 100644
--- a/dune/mmdg/problems/mmdgproblem3.hh
+++ b/dune/mmdg/problems/mmdgproblem3.hh
@@ -5,81 +5,109 @@
#include <dune/mmdg/problems/coupleddgproblem.hh>
//a coupled dg problem for dim = 2,
-//taken from [Antonietti et al. (2019): Example 6.3]
+//taken from [Antonietti et al. (2019): Example 6.1]
template<class Coordinate, class Scalar = double>
class MMDGProblem3 : public CoupledDGProblem<Coordinate, Scalar>
{
- public:
- static constexpr int dim = Coordinate::dimension;
+public:
+ static constexpr int dim = Coordinate::dimension;
+ using Base = CoupledDGProblem<Coordinate, Scalar>;
+ using Matrix = typename Base::Matrix;
- //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));
- }
+ //constructor
+ MMDGProblem3 (const Scalar d) : d_(d) {}
- //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));
- }
+ //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(2.0) * d_);
+ }
- //indicates whether an exact solution is implemented for the problem
- bool hasExactSolution () const
- {
- return true;
- };
+ //the exact solution on the interface at position pos
+ Scalar exactInterfaceSolution (const Coordinate& pos) const
+ {
+ return std::exp(1.0) * ( 1.0 + 1.0 / sqrt(2.0) * d_ );
+ }
- //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;
- }
+ //indicates whether an exact solution is implemented for the problem
+ bool hasExactSolution () const
+ {
+ return true;
+ };
- //interface source term at position pos
- Scalar qInterface (const Coordinate& pos) const
- {
- return std::exp(1.0) / sqrt(2);
- }
+ //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;
+ }
- // //aperture d of the fracture at position pos
- // Scalar aperture (const Coordinate& pos) const
- // {
- // return Scalar(1.0);
- // }
+ //interface source term at position pos
+ Scalar qInterface (const Coordinate& pos) const
+ {
+ constexpr Scalar iSource = std::exp(1.0) / (sqrt(2.0));
+ return iSource;
+ }
- //returns the recommended quadrature order to compute an integral
- //over x * q(x)
- int quadratureOrder_q () const
- {
- return 10;
- }
+ //aperture d of the fracture at position pos
+ Scalar aperture (const Coordinate& pos) const
+ {
+ return d_;
+ }
- //returns the recommended quadrature order to compute an integral
- //over x * boundary(x)
- int quadratureOrderBoundary () const
- {
- return 10;
- }
+ //permeability per aperture of the fracture in normal direction at position pos
+ Scalar Kperp (const Coordinate& pos) const
+ {
+ return 1.0 / d_;
+ }
- //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;
- }
+ //tangential permeability per aperture tensor of the interface at position pos
+ Matrix Kparallel (const Coordinate& pos) const
+ {
+ Matrix permeability(0.0);
- //returns the recommended quadrature order to compute an integral
- //over x * qInterface(x)
- int quadratureOrder_qInterface () const
+ for (int i = 0; i < dim; i++)
{
- return 10;
+ permeability[i][i] = 1.0 / d_;
}
+
+ return permeability;
+ }
+
+ //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;
+ }
+
+private:
+ Scalar d_; //aperture
};
#endif
diff --git a/dune/mmdg/problems/mmdgproblem4.hh b/dune/mmdg/problems/mmdgproblem4.hh
new file mode 100644
index 0000000000000000000000000000000000000000..50777e829fe6f3ccc05b2fae67eefde119346c4e
--- /dev/null
+++ b/dune/mmdg/problems/mmdgproblem4.hh
@@ -0,0 +1,116 @@
+#ifndef __DUNE_MMDG_MMDGPROBLEM4_HH__
+#define __DUNE_MMDG_MMDGPROBLEM4_HH__
+
+#include <cmath>
+#include <dune/mmdg/problems/coupleddgproblem.hh>
+
+//a coupled dg problem
+template<class Coordinate, class Scalar = double>
+class MMDGProblem4 : public CoupledDGProblem<Coordinate, Scalar>
+{
+public:
+ static constexpr int dim = Coordinate::dimension;
+ using Base = CoupledDGProblem<Coordinate, Scalar>;
+ using Matrix = typename Base::Matrix;
+
+ //constructor
+ MMDGProblem4 (const Scalar d) : d_(d) {}
+
+ //the exact bulk solution at position pos
+ Scalar exactSolution (const Coordinate& pos) const
+ {
+ Scalar solution = pos[0] * pos[0] - pos[1] * pos[1];
+
+ if (pos[0] > 0.5)
+ {
+ return solution += d_;
+ }
+
+ return solution;
+ }
+
+ //the exact solution on the interface at position pos
+ Scalar exactInterfaceSolution (const Coordinate& pos) const
+ {
+ //return 1.5;
+ return pos[0] * pos[0] - pos[1] * pos[1] + 0.5 * d_;
+ }
+
+ //indicates whether an exact solution is implemented for the problem
+ bool hasExactSolution () const
+ {
+ return true;
+ };
+
+ //source term at position pos
+ Scalar q (const Coordinate& pos) const
+ {
+ return 0.0;
+ }
+
+ //interface source term at position pos
+ Scalar qInterface (const Coordinate& pos) const
+ {
+ return 2.0 * d_; //d^2
+ }
+
+ //aperture d of the fracture at position pos
+ Scalar aperture (const Coordinate& pos) const
+ {
+ return d_;
+ }
+
+ //permeability of the fracture in normal direction at position pos
+ Scalar Kperp (const Coordinate& pos) const
+ {
+ return Scalar(1.0) / d_;
+ }
+
+ //tangential permeability tensor of the interface at position pos
+ Matrix Kparallel (const Coordinate& pos) const
+ {
+ Matrix permeability(0.0);
+
+ for (int i = 0; i < dim; i++)
+ {
+ permeability[i][i] = 1.0 / d_;
+ }
+
+ //return identity matrix
+ return permeability;
+ }
+
+ //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;
+ }
+
+ //returns the recommended quadrature order to compute an integral
+ //over x * q(x)
+ int quadratureOrder_q () const
+ {
+ return 10;
+ }
+
+private:
+ Scalar d_; //aperture
+
+};
+
+#endif
diff --git a/src/grids/mmdg2.msh b/src/grids/mmdg2.msh
deleted file mode 100644
index 343b392ba70b95ac2d0dad7c7513764fa3bff4f5..0000000000000000000000000000000000000000
--- a/src/grids/mmdg2.msh
+++ /dev/null
@@ -1,1618 +0,0 @@
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diff --git a/src/grids/sphere2d.msh b/src/grids/sphere2d.msh
deleted file mode 100644
index f24bcc9595f427bee81bf6f3078d8eea2377b94f..0000000000000000000000000000000000000000
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-815 2 2 1 1 183 440 595
-816 2 2 1 1 310 118 470
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-826 2 2 1 1 149 311 503
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-890 2 2 1 1 212 319 507
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-982 2 2 1 1 178 382 450
-983 2 2 1 1 173 383 453
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-985 2 2 1 1 440 250 549
-986 2 2 1 1 247 402 451
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-997 2 2 1 1 87 344 562
-998 2 2 1 1 99 347 561
-999 2 2 1 1 95 346 560
-1000 2 2 1 1 515 276 566
-1001 2 2 1 1 388 21 469
-1002 2 2 1 1 104 385 539
-1003 2 2 1 1 192 353 554
-1004 2 2 1 1 370 200 514
-1005 2 2 1 1 199 369 513
-1006 2 2 1 1 106 395 593
-1007 2 2 1 1 236 352 559
-1008 2 2 1 1 418 162 520
-1009 2 2 1 1 34 370 514
-1010 2 2 1 1 369 78 513
-1011 2 2 1 1 395 225 593
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-1013 2 2 1 1 120 407 461
-1014 2 2 1 1 389 221 488
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-1016 2 2 1 1 196 482 593
-1017 2 2 1 1 214 389 488
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-1020 2 2 1 1 458 106 482
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-1085 2 2 1 1 163 427 517
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-1091 2 2 1 1 417 72 529
-1092 2 2 1 1 203 449 524
-1093 2 2 1 1 553 235 571
-1094 2 2 1 1 449 215 582
-1095 2 2 1 1 131 449 582
-1096 2 2 1 1 120 440 549
-1097 2 2 1 1 276 428 566
-1098 2 2 1 1 413 138 566
-1099 2 2 1 1 228 425 567
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-1102 2 2 1 1 210 534 561
-1103 2 2 1 1 208 532 562
-1104 2 2 1 1 211 535 563
-1105 2 2 1 1 207 486 521
-1106 2 2 1 1 486 207 522
-1107 2 2 1 1 516 254 573
-1108 2 2 1 1 486 47 521
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-1110 2 2 1 1 213 516 573
-1111 2 2 1 1 443 148 575
-1112 2 2 1 1 132 540 594
-1113 2 2 1 1 177 466 569
-1114 2 2 1 1 540 252 594
-1115 2 2 1 1 462 131 582
-1116 2 2 1 1 487 128 543
-1117 2 2 1 1 252 444 594
-1118 2 2 1 1 216 550 579
-1119 2 2 1 1 440 120 595
-1120 2 2 1 1 214 488 558
-1121 2 2 1 1 215 449 599
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-1123 2 2 1 1 518 269 584
-1124 2 2 1 1 270 519 585
-1125 2 2 1 1 223 518 584
-1126 2 2 1 1 519 224 585
-1127 2 2 1 1 572 137 599
-1128 2 2 1 1 482 106 593
-1129 2 2 1 1 228 567 592
-1130 2 2 1 1 532 86 562
-1131 2 2 1 1 533 94 560
-1132 2 2 1 1 534 98 561
-1133 2 2 1 1 535 90 563
-1134 2 2 1 1 573 132 594
-1135 2 2 1 1 550 140 579
-1136 2 2 1 1 567 141 592
-$EndElements
diff --git a/src/mmdg.cc b/src/mmdg.cc
index 503e4ebce7c4b368e2010fe15c9a98b483af26ef..20d7d6de0762ab0e1d9ae12edd65b5b65976439d 100644
--- a/src/mmdg.cc
+++ b/src/mmdg.cc
@@ -23,6 +23,7 @@
#include <dune/mmdg/problems/mmdgproblem1.hh>
#include <dune/mmdg/problems/mmdgproblem2.hh>
#include <dune/mmdg/problems/mmdgproblem3.hh>
+#include <dune/mmdg/problems/mmdgproblem4.hh>
int main(int argc, char** argv)
{
@@ -54,6 +55,7 @@ int main(int argc, char** argv)
//assume constant penalty parameter //TODO
const double mu = std::stod(pt["mu"]);
const double xi = std::stod(pt["xi"]); //coupling parameter
+ const double aperture = std::stod(pt["d"]);
Problem* problem; //problem to be solved
@@ -62,18 +64,23 @@ int main(int argc, char** argv)
//determine problem type
if (pt["problem"] == "mmdg1")
{
- problem = new MMDGProblem1<Coordinate>();
- gridType = "mmdg2";
+ problem = new MMDGProblem1<Coordinate>(aperture);
+ gridType = "mmdg2_5e-2";
}
else if (pt["problem"] == "mmdg2")
{
problem = new MMDGProblem2<Coordinate>();
- gridType = "mmdg2";
+ gridType = "mmdg2_5e-2";
}
else if (pt["problem"] == "mmdg3")
{
- problem = new MMDGProblem3<Coordinate>();
- gridType = "mmdg3";
+ problem = new MMDGProblem3<Coordinate>(aperture);
+ gridType = "mmdg3_5e-2";
+ }
+ else if (pt["problem"] == "mmdg4")
+ {
+ problem = new MMDGProblem4<Coordinate>(aperture);
+ gridType = "mmdg2_5e-2";
}
else
{
diff --git a/src/mmdgAnalysis.py b/src/mmdgAnalysis.py
index ff746bd0a7b2e3e58779824cbe25e1e07af73f2b..c66dd514341f1a88a1b75593be2f175655f24a4b 100644
--- a/src/mmdgAnalysis.py
+++ b/src/mmdgAnalysis.py
@@ -62,6 +62,7 @@ numberOfMeans = 1
# names of the grid files sorted by refinement
gridfiles = ["mmdg2_1", "mmdg2_5e-1", "mmdg2_2e-1", "mmdg2_8e-2", "mmdg2_5e-2"]
+# gridfiles = ["mmdg3_1", "mmdg3_5e-1", "mmdg3_2e-1", "mmdg3_8e-2", "mmdg3_5e-2"]
dim = 2
diff --git a/src/parameterMMDG.ini b/src/parameterMMDG.ini
index fb6290810e44ee0860375165a8e320bef7eea5d2..a6283fc3114613f0a0e3f66adc1fcb6338c5992e 100644
--- a/src/parameterMMDG.ini
+++ b/src/parameterMMDG.ini
@@ -1,4 +1,5 @@
mu = 1000
xi = 0.75
-problem = mmdg1
-gridfile = mmdg2_5e-2
\ No newline at end of file
+problem = mmdg2
+gridfile = mmdg2_5e-2
+d = 1