TestCaseNonLinearity Class Reference

The TestCaseNonLinearity class provides definition of a nonlinear function, and related functions. More...

#include <TestCaseNonLinearity.hpp>

Public Types
using	nonlinearity_function_type = std::function< double(double, std::string)>
	type for nonlinear function

Public Member Functions
	TestCaseNonLinearity (const int iTCNL, const double m=1.0)
	Initialise data.
double	nonlinearity (const double s, const std::string type)
	Nonlinearity.

Detailed Description

The TestCaseNonLinearity class provides definition of a nonlinear function, and related functions.

Member Typedef Documentation

nonlinearity_function_type

using TestCaseNonLinearity::nonlinearity_function_type = std::function<double(double,std::string)>

type for nonlinear function

Constructor & Destructor Documentation

TestCaseNonLinearity()

TestCaseNonLinearity::TestCaseNonLinearity	(	const int	iTCNL,
		const double	m = 1.0
	)

Initialise data.

Parameters

iTCNL	The id of the test case
m	Optional, power of the porous medium non-linearity

Member Function Documentation

nonlinearity()

double TestCaseNonLinearity::nonlinearity	(	const double	s,
		const std::string	type
	)

Nonlinearity.

iTCR[0]=-1: \(f(u)=0\)

iTCR[0]=1: \(f(u)=u\)

iTCR[0]=2: \(f(u)=|u|^{m-1}u = |u|^m sign(u)\)

iTCR[0]=3: \(f(u)=max(u,0)^2\)

iTCR[0]=4: \(f(u)=(u+th)^+-th + eps u\)

iTCR[0]=5: \(f(u)=u\) truncated at 0 and th

iTCR[0]=6: Classical Stefan \(f(s)=s\) if \(s<0\), \(f(s)=0\) if \(0\le s\le 1\), \(f(s)=s-1\) if \(s>1\).

Parameters

type	"type" = "fct" for the function itself, "nlin" for the nonlinear part gamma such that fct(u) = gamma(u) u, "der" for derivative, "hess" for 2nd derivative

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The documentation for this class was generated from the following files:

• Schemes/TestCase/TestCaseNonLinearity.hpp
• Schemes/TestCase/TestCaseNonLinearity.cpp