CppNoddy::Example::Shallow_1d_rad Class Reference

Define the system. More...

Inheritance diagram for CppNoddy::Example::Shallow_1d_rad:

Public Member Functions
	Shallow_1d_rad ()
	One dimemsional constant coefft acoustic problem. More...
void	flux_fn (const double &x, const DenseVector< double > &q, DenseVector< double > &f) const
	Define the vector flux. More...
double	max_charac_speed (const DenseVector< double > &q) const
	Bound the shock speed. More...
void	source_fn (const double &x, const DenseVector< double > &q, const DenseVector< double > &slope, DenseVector< double > &r) const
Public Member Functions inherited from CppNoddy::OneD_Hyperbolic_System
	OneD_Hyperbolic_System (const unsigned &order)
virtual	~OneD_Hyperbolic_System ()
	An empty destructor, virtual since we have virtual methods. More...
virtual void	flux_fn (const double &x, const DenseVector< double > &q, DenseVector< double > &f) const
	A virtual flux function. More...
virtual void	Jac_flux_fn (const double &x, const DenseVector< double > &q, DenseMatrix< double > &J) const
	A virtual function function to define the Jacobian of the flux function. More...
virtual double	max_charac_speed (const DenseVector< double > &q) const
	A virtual method that is used to bound the shock speed and must be implemented by the user. More...
virtual bool_vec	edge_values (const int face_index, const double &x, DenseVector< double > &q, const double &t=0.0) const
	Define the edge boundary conditions. More...
virtual void	source_fn (const double &x, const DenseVector< double > &q, const DenseVector< double > &slope, DenseVector< double > &r) const
unsigned	get_order ()

Additional Inherited Members
Protected Attributes inherited from CppNoddy::OneD_Hyperbolic_System
const std::size_t	ORDER_OF_SYSTEM
	The order of the system of equations. More...

Detailed Description

Define the system.

Definition at line 25 of file HYPRadialDamBreak.cpp.

Constructor & Destructor Documentation

Shallow_1d_rad()

CppNoddy::Example::Shallow_1d_rad::Shallow_1d_rad ( )

inline

One dimemsional constant coefft acoustic problem.

Definition at line 31 of file HYPRadialDamBreak.cpp.

                       : OneD_Hyperbolic_System( 2 )
      {}

Member Function Documentation

flux_fn()

void CppNoddy::Example::Shallow_1d_rad::flux_fn ( const double &  x, const DenseVector< double > &  q, DenseVector< double > &  f  ) const

inlinevirtual

Define the vector flux.

Reimplemented from CppNoddy::OneD_Hyperbolic_System.

Definition at line 35 of file HYPRadialDamBreak.cpp.

      {
        f[ h ] = q[ hu ];
        f[ hu ] = q[ hu ] * q[ hu ] / q[ h ] + g * q[ h ] * q[ h ] / 2;
      }

References f, CppNoddy::Example::g(), h, and hu.

max_charac_speed()

double CppNoddy::Example::Shallow_1d_rad::max_charac_speed ( const DenseVector< double > &  q ) const

inlinevirtual

Bound the shock speed.

Reimplemented from CppNoddy::OneD_Hyperbolic_System.

Definition at line 42 of file HYPRadialDamBreak.cpp.

      {
        // sound speeds
        const double c( sqrt( g * q[ h ] ) );
        // flow speed
        const double u( q[ hu ] / q[ h ] );
        // maximum shock speed
        return std::max( std::abs( u + c ), std::abs( u - c ) );
      }

References CppNoddy::Example::g(), h, hu, and u.

source_fn()

void CppNoddy::Example::Shallow_1d_rad::source_fn ( const double &  x, const DenseVector< double > &  q, const DenseVector< double > &  slope, DenseVector< double > &  r  ) const

inlinevirtual

Reimplemented from CppNoddy::OneD_Hyperbolic_System.

Definition at line 52 of file HYPRadialDamBreak.cpp.

      {
        r[ h ] = -q[ hu ] / x;
        r[ hu ] = -q[ hu ] * q[ hu ] / ( q[ h ] * x );
      }

References h, and hu.

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

• Tests/HYP_1D/HYPRadialDamBreak.cpp