CppNoddy::Example::Euler_1d Class Reference

Define the system. More...

Inheritance diagram for CppNoddy::Example::Euler_1d:

Public Member Functions
	Euler_1d ()
	One dimemsional Euler problem, so 3rd order. 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...
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 28 of file HYPSodsShocktube.cpp.

Constructor & Destructor Documentation

Euler_1d()

CppNoddy::Example::Euler_1d::Euler_1d ( )

inline

One dimemsional Euler problem, so 3rd order.

Definition at line 34 of file HYPSodsShocktube.cpp.

                 : OneD_Hyperbolic_System( 3 )
      {}

Member Function Documentation

flux_fn()

void CppNoddy::Example::Euler_1d::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 38 of file HYPSodsShocktube.cpp.

      {
        double u = q[ m ] / q[ rho ];
        double p = ( gamma - 1. ) * ( q[ E ] - 0.5 * q[ rho ] * u * u );
        f[ rho ] = q[ m ];
        f[ m ]   = q[ rho ] * u * u + p;
        f[ E ]   = u * ( q[ E ] + p );
      }

References E, f, CppNoddy::Example::gamma(), m, p, rho, and u.

max_charac_speed()

double CppNoddy::Example::Euler_1d::max_charac_speed ( const DenseVector< double > &  q ) const

inlinevirtual

Bound the shock speed.

Reimplemented from CppNoddy::OneD_Hyperbolic_System.

Definition at line 48 of file HYPSodsShocktube.cpp.

      {
        // sound speeds
        double u = q[ m ] / q[ rho ];
        double p = ( gamma - 1. ) * ( q[ E ] - 0.5 * q[ rho ] * u * u );
        double c = sqrt( gamma *  p / q[ rho ] );
        // maximum shock speed
        return std::max(  u + c, u - c );
      }

References E, CppNoddy::Example::gamma(), m, p, rho, and u.

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

• Tests/HYP_1D/HYPSodsShocktube.cpp