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// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
//
// Contributor(s):
// Eric Bechet
//
#ifndef TERMS_H
#define TERMS_H
#include "SVector3.h"
#include "STensor3.h"
#include "STensor43.h"
#include "Numeric.h"
#include "functionSpace.h"
#include "groupOfElements.h"
#include "materialLaw.h"
#include <vector>
#include <iterator>
template <class T2> class ScalarTermBase;
template <class T2> class LinearTermBase;
template <class T2> class PlusTerm;
class BilinearTermBase;
inline double dot(const double &a, const double &b) { return a * b; }
inline int delta(int i, int j)
{
if(i == j)
return 1;
else
return 0;
}
inline void setDirection(double &a, const double &b) { a = b; }
inline void setDirection(SVector3 &a, const SVector3 &b)
{
for(int i = 0; i < 3; i++) a(i) = b(i);
}
template <class T2 = double> class ScalarTermBase {
public:
virtual ~ScalarTermBase() {}
virtual void get(MElement *ele, int npts, IntPt *GP, T2 &val) const = 0;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<T2> &vval) const = 0;
virtual ScalarTermBase<T2> *clone() const = 0;
};
template <class T2 = double> class ScalarTerm : public ScalarTermBase<T2> {
public:
virtual ~ScalarTerm() {}
};
template <class T2 = double> class ScalarTermConstant : public ScalarTerm<T2> {
protected:
T2 cst;
public:
ScalarTermConstant(T2 val_ = T2()) : cst(val_) {}
virtual ~ScalarTermConstant() {}
virtual void get(MElement *ele, int npts, IntPt *GP, T2 &val) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<T2> &vval) const;
virtual void get(MVertex *ver, T2 &val) const;
virtual ScalarTermBase<T2> *clone() const
{
return new ScalarTermConstant<T2>(cst);
}
};
class BilinearTermToScalarTerm : public ScalarTerm<double> {
protected:
BilinearTermBase &bilterm;
public:
BilinearTermToScalarTerm(BilinearTermBase &bilterm_) : bilterm(bilterm_) {}
virtual ~BilinearTermToScalarTerm() {}
virtual void get(MElement *ele, int npts, IntPt *GP, double &val) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<double> &vval) const {};
virtual ScalarTermBase<double> *clone() const
{
return new BilinearTermToScalarTerm(bilterm);
}
};
class BilinearTermBase {
public:
virtual ~BilinearTermBase() {}
virtual void get(MElement *ele, int npts, IntPt *GP,
fullMatrix<double> &m) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullMatrix<double> > &mv) const = 0;
virtual BilinearTermBase *clone() const = 0;
};
template <class T2> class BilinearTermContract : public BilinearTermBase {
protected:
const LinearTermBase<T2> *a;
const LinearTermBase<T2> *b;
public:
BilinearTermContract(const LinearTermBase<T2> &a_,
const LinearTermBase<T2> &b_)
: a(a_.clone()), b(b_.clone())
{
}
virtual ~BilinearTermContract()
{
delete a;
delete b;
}
virtual void get(MElement *ele, int npts, IntPt *GP,
fullMatrix<double> &m) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullMatrix<double> > &mv) const {};
virtual BilinearTermBase *clone() const
{
return new BilinearTermContract<T2>(*a, *b);
}
};
template <class T2>
class BilinearTermContractWithLaw : public BilinearTermContract<T2> {
public:
protected:
const ScalarTermBase<typename TensorialTraits<T2>::TensProdType> *c;
public:
BilinearTermContractWithLaw(
const LinearTermBase<T2> &a_,
const ScalarTermBase<typename TensorialTraits<T2>::TensProdType> &c_,
const LinearTermBase<T2> &b_)
: BilinearTermContract<T2>(a_, b_), c(c_.clone())
{
}
virtual ~BilinearTermContractWithLaw() { delete c; }
virtual void get(MElement *ele, int npts, IntPt *GP,
fullMatrix<double> &m) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullMatrix<double> > &mv) const;
virtual BilinearTermBase *clone() const
{
return new BilinearTermContractWithLaw<T2>(*BilinearTermContract<T2>::a, *c,
*BilinearTermContract<T2>::b);
}
};
template <class T2>
BilinearTermContract<T2> operator|(const LinearTermBase<T2> &L1,
const LinearTermBase<T2> &L2);
template <class T1, class T2> class BilinearTerm : public BilinearTermBase {
protected:
FunctionSpace<T1> &space1;
FunctionSpace<T2> &space2;
public:
BilinearTerm(FunctionSpace<T1> &space1_, FunctionSpace<T2> &space2_)
: space1(space1_), space2(space2_)
{
}
virtual ~BilinearTerm() {}
};
template <class T2 = double> class LinearTermBase {
public:
virtual ~LinearTermBase() {}
virtual void get(MElement *ele, int npts, IntPt *GP, fullVector<T2> &v) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullVector<T2> > &vv) const = 0;
virtual LinearTermBase<T2> *clone() const = 0;
PlusTerm<T2> operator+(const LinearTermBase<T2> &other);
};
template <class T2> class PlusTerm : public LinearTermBase<T2> {
const LinearTermBase<T2> *a;
const LinearTermBase<T2> *b;
public:
PlusTerm(const LinearTermBase<T2> &a_, const LinearTermBase<T2> &b_)
: a(a_.clone()), b(b_.clone())
{
}
virtual ~PlusTerm()
{
delete a;
delete b;
}
virtual void get(MElement *ele, int npts, IntPt *GP, fullVector<T2> &v) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullVector<T2> > &vv) const {};
virtual LinearTermBase<T2> *clone() const { return new PlusTerm<T2>(*a, *b); }
};
template <class T1, class T2 = double>
class LinearTerm : public LinearTermBase<T2> {
protected:
FunctionSpace<T1> &space1;
public:
LinearTerm(FunctionSpace<T1> &space1_) : space1(space1_) {}
virtual ~LinearTerm() {}
};
template <class T1>
class GradTerm : public LinearTerm<T1, typename TensorialTraits<T1>::GradType> {
public:
GradTerm(FunctionSpace<T1> &space1_)
: LinearTerm<T1, typename TensorialTraits<T1>::GradType>(space1_)
{
}
virtual void
get(MElement *ele, int npts, IntPt *GP,
fullVector<typename TensorialTraits<T1>::GradType> &vec) const
{
LinearTermBase<typename TensorialTraits<T1>::GradType>::get(ele, npts, GP,
vec);
}
virtual void
get(MElement *ele, int npts, IntPt *GP,
std::vector<fullVector<typename TensorialTraits<T1>::GradType> > &vvec)
const;
virtual LinearTermBase<typename TensorialTraits<T1>::GradType> *clone() const
{
return new GradTerm<T1>(
LinearTerm<T1, typename TensorialTraits<T1>::GradType>::space1);
}
virtual ~GradTerm() {}
};
template <class T1, class T2> class LaplaceTerm : public BilinearTerm<T1, T2> {
public:
LaplaceTerm(FunctionSpace<T1> &space1_, FunctionSpace<T2> &space2_)
: BilinearTerm<T1, T2>(space1_, space2_)
{
}
virtual ~LaplaceTerm() {}
virtual void get(MElement *ele, int npts, IntPt *GP,
fullMatrix<double> &m) const
{
Msg::Error("LaplaceTerm<S1, S2> w/ S1 != S2 not implemented");
}
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullMatrix<double> > &vm) const
{
Msg::Error("LaplaceTerm<S1, S2> w/ S1 != S2 not implemented");
}
virtual void get(MVertex *ver, fullMatrix<double> &m)
{
Msg::Error("LaplaceTerm<S1, S2> w/ S1 != S2 not implemented");
}
virtual BilinearTermBase *clone() const
{
return new LaplaceTerm<T1, T2>(BilinearTerm<T1, T2>::space1,
BilinearTerm<T1, T2>::space2);
}
}; // class
template <class T1>
class LaplaceTerm<T1, T1>
: public BilinearTerm<T1, T1> // symmetric
{
protected:
double diffusivity;
public:
LaplaceTerm(FunctionSpace<T1> &space1_, double diff = 1)
: BilinearTerm<T1, T1>(space1_, space1_), diffusivity(diff)
{
}
virtual ~LaplaceTerm() {}
virtual void get(MElement *ele, int npts, IntPt *GP,
fullMatrix<double> &m) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullMatrix<double> > &vm) const {};
virtual BilinearTermBase *clone() const
{
return new LaplaceTerm<T1, T1>(BilinearTerm<T1, T1>::space1, diffusivity);
}
}; // class
class IsotropicElasticTerm : public BilinearTerm<SVector3, SVector3> {
protected:
double E, nu;
bool sym;
fullMatrix<double> H; /* =
{ {C11, C12, C12, 0, 0, 0},
{C12, C11, C12, 0, 0, 0},
{C12, C12, C11, 0, 0, 0},
{ 0, 0, 0, C44, 0, 0},
{ 0, 0, 0, 0, C44, 0},
{ 0, 0, 0, 0, 0, C44} };*/
public:
IsotropicElasticTerm(FunctionSpace<SVector3> &space1_,
FunctionSpace<SVector3> &space2_, double E_, double nu_);
IsotropicElasticTerm(FunctionSpace<SVector3> &space1_, double E_, double nu_);
virtual ~IsotropicElasticTerm() {}
virtual void get(MElement *ele, int npts, IntPt *GP,
fullMatrix<double> &m) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullMatrix<double> > &vm) const {};
virtual BilinearTermBase *clone() const
{
return new IsotropicElasticTerm(BilinearTerm<SVector3, SVector3>::space1,
BilinearTerm<SVector3, SVector3>::space2, E,
nu);
}
}; // class
template <class T1> class LoadTerm : public LinearTerm<T1> {
protected:
simpleFunction<typename TensorialTraits<T1>::ValType> *Load;
public:
LoadTerm(FunctionSpace<T1> &space1_,
simpleFunction<typename TensorialTraits<T1>::ValType> *Load_)
: LinearTerm<T1>(space1_), Load(Load_)
{
}
virtual ~LoadTerm() {}
virtual LinearTermBase<double> *clone() const
{
return new LoadTerm<T1>(LinearTerm<T1>::space1, Load);
}
virtual void get(MElement *ele, int npts, IntPt *GP,
fullVector<double> &m) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullVector<double> > &vv) const {};
};
template <class T1>
class LagrangeMultiplierTerm : public BilinearTerm<T1, double> {
T1 _d;
public:
LagrangeMultiplierTerm(FunctionSpace<T1> &space1_,
FunctionSpace<double> &space2_, const T1 &d)
: BilinearTerm<T1, double>(space1_, space2_)
{
setDirection(_d, d);
}
virtual ~LagrangeMultiplierTerm() {}
virtual void get(MElement *ele, int npts, IntPt *GP,
fullMatrix<double> &m) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullMatrix<double> > &vm) const {};
virtual BilinearTermBase *clone() const
{
return new LagrangeMultiplierTerm(BilinearTerm<T1, double>::space1,
BilinearTerm<T1, double>::space2, _d);
}
};
class LagMultTerm : public BilinearTerm<SVector3, SVector3> {
private:
double _eqfac;
public:
LagMultTerm(FunctionSpace<SVector3> &space1_,
FunctionSpace<SVector3> &space2_, double eqfac = 1.0)
: BilinearTerm<SVector3, SVector3>(space1_, space2_), _eqfac(eqfac)
{
}
virtual ~LagMultTerm() {}
virtual void get(MElement *ele, int npts, IntPt *GP,
fullMatrix<double> &m) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullMatrix<double> > &vm) const {};
virtual BilinearTermBase *clone() const
{
return new LagMultTerm(BilinearTerm<SVector3, SVector3>::space1,
BilinearTerm<SVector3, SVector3>::space2, _eqfac);
}
};
template <class T1> class LoadTermOnBorder : public LinearTerm<T1> {
private:
double _eqfac;
simpleFunction<typename TensorialTraits<T1>::ValType> *Load;
public:
LoadTermOnBorder(FunctionSpace<T1> &space1_,
simpleFunction<typename TensorialTraits<T1>::ValType> *Load_,
double eqfac = 1.0)
: LinearTerm<T1>(space1_), _eqfac(eqfac), Load(Load_)
{
}
virtual ~LoadTermOnBorder() {}
virtual LinearTermBase<double> *clone() const
{
return new LoadTermOnBorder<T1>(LinearTerm<T1>::space1, Load, _eqfac);
}
virtual void get(MElement *ele, int npts, IntPt *GP,
fullVector<double> &m) const;
virtual void get(MElement *ele, int npts, IntPt *GP,
std::vector<fullVector<double> > &vv) const {};
};
#include "terms.hpp"
#endif
|
