/usr/include/ASL/num/aslTimeContinuations.h is in libasl-dev 0.1.6-1.
This file is owned by root:root, with mode 0o644.
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* Advanced Simulation Library <http://asl.org.il>
*
* Copyright 2015 Avtech Scientific <http://avtechscientific.com>
*
*
* This file is part of Advanced Simulation Library (ASL).
*
* ASL is free software: you can redistribute it and/or modify it
* under the terms of the GNU Affero General Public License as
* published by the Free Software Foundation, version 3 of the License.
*
* ASL is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with ASL. If not, see <http://www.gnu.org/licenses/>.
*
*/
#ifndef ASLTIMECONTINUATIONS_H
#define ASLTIMECONTINUATIONS_H
#include "aslNumMethod.h"
#include <acl/aclMath/aclVectorOfElementsDef.h>
namespace acl
{
class Kernel;
}
namespace asl
{
class VectorTemplate;
template <typename V> class DataWithGhostNodes;
typedef DataWithGhostNodes<acl::VectorOfElementsData> DataWithGhostNodesACLData;
typedef std::shared_ptr<DataWithGhostNodesACLData> SPDataWithGhostNodesACLData;
class AbstractDataWithGhostNodes;
typedef std::shared_ptr<AbstractDataWithGhostNodes> SPAbstractDataWithGhostNodes;
/// Numerical method that generates temporal extrapolation of the data, Abstract class.
/**
\ingroup NumMethods
*/
class TimeContinuations: public NumMethod
{
public:
typedef SPDataWithGhostNodesACLData Data;
protected:
acl::VectorOfElementsData inData;
double factor;
unsigned int nStorages;
TimeContinuations(Data inD, double factor);
TimeContinuations(acl::VectorOfElementsData & inD, double factor);
public:
void addData(Data inD);
void addData(acl::VectorOfElementsData & inD);
virtual void execute()=0;
virtual void init()=0;
/// makes reset of the contiuation (storage) cicle
void reset();
};
/// Numerical method that generates temporal extrapolation of the data with Lagrangian polynoms
/**
\ingroup NumMethods
The method computes Lagrange polinomial extrapolation of order \f$k\f$ in time. \p factor
defines extrapolation length:
\f[ u(t+dt*factor) = \sum_{i=0}^n y_i l_i \f]
where
\f[ l_i(x) = \prod_{j=0, j\neq i}^k \frac{x-x_j}{x_i-x_j}\f]
The first avalible point has \f$ t_0 = -k$. The last avalible point has \f$ t_k = 0$.
*/
class TimeContinPLagrange: public TimeContinuations
{
private:
acl::VectorOfElements storedData;
std::vector<std::shared_ptr<acl::Kernel>> kernels;
unsigned int order;
std::vector<double> coefs;
public:
TimeContinPLagrange(Data inD, double f, unsigned int order);
TimeContinPLagrange(acl::VectorOfElementsData & inD, double f, unsigned int order);
virtual void execute();
virtual void init();
};
typedef std::shared_ptr<TimeContinPLagrange> SPTimeContinPLagrange;
/// Numerical method that generates temporal extrapolation of the data with Lagrangian polynoms of fractional argument
/**
\ingroup NumMethods
The method computes Lagrange polinomial extrapolation of order \f$k\f$ in time.
The time is taken in the form \f$ (t+t_s)^{-1}\f$. \p factor
defines extrapolation length. \f$ t_s\f$ is defined as:
\f[ t_s = 2 k+ factor \f]
The interpolation polinoms are nothing else but the Lagrange one with
\f$ x \f$ defined as \f$ x=(t+t_s)^{-1} \f$
\f[ u(t+dt*factor) = \sum_{i=0}^n y_i l_i \f]
where
\f[ l_i(x) = \prod_{j=0, j\neq i}^k \frac{x-x_j}{x_i-x_j}\f]
The first avalible point has \f$ t_0 = -k$. The last avalible point has \f$ t_k = 0$.
*/
class TimeContinPLagrangeFraction: public TimeContinuations
{
public:
typedef SPDataWithGhostNodesACLData Data;
typedef SPAbstractDataWithGhostNodes Field;
private:
acl::VectorOfElements storedData;
std::vector<std::shared_ptr<acl::Kernel>> kernels;
unsigned int order;
double offset;
std::vector<double> coefs;
public:
TimeContinPLagrangeFraction(Data inD, double f, unsigned int order);
TimeContinPLagrangeFraction(acl::VectorOfElementsData & inD,
double f, unsigned int order);
void execute();
virtual void init();
};
typedef std::shared_ptr<TimeContinPLagrangeFraction> SPTimeContinPLagrangeFraction;
} // asl
#endif // ASLTIMECONTINUATIONS_H
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