#include <ElemUtil.hpp>

Inheritance diagram for moab::Element::SpectralHex:

Collaboration diagram for moab::Element::SpectralHex:

Public Member Functions
	SpectralHex (const std::vector< CartVect > &vertices)
	SpectralHex (int order, double x, double y, double *z)
	SpectralHex (int order)
	SpectralHex ()
virtual	~SpectralHex ()
void	set_gl_points (double x, double y, double *z)
virtual CartVect	evaluate (const CartVect &xi) const
	Evaluate the map on $x_i$ (calculate $\vec x = F($\vec \xi)$ )
virtual CartVect	ievaluate (const CartVect &x, double tol=1e-6, const CartVect &x0=CartVect(0.0)) const
	Evaluate the inverse map (calculate $\vec \xi = F^-1($\vec x)$ to given tolerance)
virtual Matrix3	jacobian (const CartVect &xi) const
	Evaluate the map's Jacobi matrix.
double	evaluate_scalar_field (const CartVect &xi, const double *field_vertex_values) const
	Evaluate a scalar field at a point given field values at the vertices.
double	integrate_scalar_field (const double *field_vertex_values) const
	Integrate a scalar field over the element given field values at the vertices.
bool	inside_nat_space (const CartVect &xi, double &tol) const
	decide if within the natural param space, with a tolerance
void	Init (int order)
void	freedata ()
Protected Attributes
realType *	_xyz [3]
Static Protected Attributes
static int	_n
static realType *	_z [3]
static lagrange_data	_ld [3]
static opt_data_3	_data
static realType *	_odwork
static bool	_init = false

Detailed Description

Definition at line 243 of file ElemUtil.hpp.

Constructor & Destructor Documentation

moab::Element::SpectralHex::SpectralHex ( const std::vector< CartVect > & vertices ) [inline]

Definition at line 246 of file ElemUtil.hpp.

References _xyz.

                                                             : Map( vertices )
        {
            _xyz[0] = _xyz[1] = _xyz[2] = NULL;
        };

moab::Element::SpectralHex::SpectralHex	(	int	order,
		double *	x,
		double *	y,
		double *	z
	)

Definition at line 955 of file ElemUtil.cpp.

References _xyz, and Init().

                                                                         : Map( 0 )
    {
        Init( order );
        _xyz[0] = x;
        _xyz[1] = y;
        _xyz[2] = z;
    }

moab::Element::SpectralHex::SpectralHex ( int order )

Definition at line 962 of file ElemUtil.cpp.

References _xyz, and Init().

                                        : Map( 0 )
    {
        Init( order );
        _xyz[0] = _xyz[1] = _xyz[2] = NULL;
    }

moab::Element::SpectralHex::SpectralHex ( )

Definition at line 950 of file ElemUtil.cpp.

References _xyz.

                             : Map( 0 )
    {
        _xyz[0] = _xyz[1] = _xyz[2] = NULL;
    }

moab::Element::SpectralHex::~SpectralHex ( ) [virtual]

Definition at line 967 of file ElemUtil.cpp.

References _init, and freedata().

    {
        if( _init ) freedata();
        _init = false;
    }

Member Function Documentation

CartVect moab::Element::SpectralHex::evaluate ( const CartVect & xi ) const [virtual]

Evaluate the map on $x_i$ (calculate $\vec x = F($\vec \xi)$ )

Implements moab::Element::Map.

Definition at line 58 of file SpectralHex.cpp.

References moab::SpectralHex::_ld, moab::SpectralHex::_odwork, lagrange_0(), and tensor_i3().

Referenced by test_spectral_hex().

{
    // piece that we shouldn't want to cache
    int d = 0;
    for( d = 0; d < 3; d++ )
    {
        lagrange_0( &_ld[d], params[d] );
    }
    CartVect result;
    for( d = 0; d < 3; d++ )
    {
        result[d] = tensor_i3( _ld[0].J, _ld[0].n, _ld[1].J, _ld[1].n, _ld[2].J, _ld[2].n,
                               _xyz[d],  // this is the "field"
                               _odwork );
    }
    return result;
}

double moab::Element::SpectralHex::evaluate_scalar_field	(	const CartVect &	xi,
		const double *	field_vertex_values
	)		const `[virtual]`

Evaluate a scalar field at a point given field values at the vertices.

Implements moab::Element::Map.

Definition at line 1073 of file ElemUtil.cpp.

References _ld, _odwork, lagrange_0(), and tensor_i3().

Referenced by moab::Coupler::interp_field(), and test_spectral_hex().

    {
        // piece that we shouldn't want to cache
        int d;
        for( d = 0; d < 3; d++ )
        {
            lagrange_0( &_ld[d], xi[d] );
        }

        double value = tensor_i3( _ld[0].J, _ld[0].n, _ld[1].J, _ld[1].n, _ld[2].J, _ld[2].n, field, _odwork );
        return value;
    }

void moab::Element::SpectralHex::freedata ( )

Definition at line 41 of file SpectralHex.cpp.

References moab::SpectralHex::_data, moab::SpectralHex::_ld, moab::SpectralHex::_odwork, moab::SpectralHex::_z, lagrange_free(), and opt_free_3().

Referenced by Init(), and ~SpectralHex().

{
    for( int d = 0; d < 3; d++ )
    {
        free( _z[d] );
        lagrange_free( &_ld[d] );
    }
    opt_free_3( &_data );
    free( _odwork );
}

CartVect moab::Element::SpectralHex::ievaluate	(	const CartVect &	x,
		double	tol = `1e-6`,
		const CartVect &	x0 = `CartVect( 0.0 )`
	)		const `[virtual]`

Evaluate the inverse map (calculate $\vec \xi = F^-1($\vec x)$ to given tolerance)

Reimplemented from moab::Element::Map.

Definition at line 1030 of file ElemUtil.cpp.

References _data, _xyz, moab::CartVect::get(), opt_findpt_3(), and opt_no_constraints_3.

Referenced by moab::Coupler::nat_param(), and test_spectral_hex().

    {
        // find nearest point
        realType x_star[3];
        xyz.get( x_star );

        realType r[3] = { 0, 0, 0 };  // initial guess for parametric coords
        x0.get( r );
        unsigned c    = opt_no_constraints_3;
        realType dist = opt_findpt_3( &_data, (const realType**)_xyz, x_star, r, &c );
        // if it did not converge, get out with throw...
        if( dist > 10 * tol )  // outside the element
        {
            std::vector< CartVect > dummy;
            throw Map::EvaluationError( xyz, dummy );
        }
        // c tells us if we landed inside the element or exactly on a face, edge, or node
        // also, dist shows the distance to the computed point.
        // copy parametric coords back
        return CartVect( r );
    }

void moab::Element::SpectralHex::Init ( int order )

Definition at line 972 of file ElemUtil.cpp.

References _data, _init, _ld, _n, _odwork, _z, freedata(), lagrange_setup(), lobatto_nodes(), opt_alloc_3(), and tmalloc.

Referenced by SpectralHex().

    {
        if( _init && _n == order ) return;
        if( _init && _n != order )
        {
            // TODO: free data cached
            freedata();
        }
        // compute stuff that depends only on order
        _init = true;
        _n    = order;
        // triplicates! n is the same in all directions !!!
        for( int d = 0; d < 3; d++ )
        {
            _z[d] = tmalloc( realType, _n );
            lobatto_nodes( _z[d], _n );
            lagrange_setup( &_ld[d], _z[d], _n );
        }
        opt_alloc_3( &_data, _ld );

        unsigned int nf = _n * _n, ne = _n, nw = 2 * _n * _n + 3 * _n;
        _odwork = tmalloc( realType, 6 * nf + 9 * ne + nw );
    }

bool moab::Element::SpectralHex::inside_nat_space	(	const CartVect &	xi,
		double &	tol
	)		const `[virtual]`

decide if within the natural param space, with a tolerance

Implements moab::Element::Map.

Definition at line 1134 of file ElemUtil.cpp.

Referenced by moab::Coupler::nat_param().

    {
        // just look at the box+tol here
        return ( xi[0] >= -1. - tol ) && ( xi[0] <= 1. + tol ) && ( xi[1] >= -1. - tol ) && ( xi[1] <= 1. + tol ) &&
               ( xi[2] >= -1. - tol ) && ( xi[2] <= 1. + tol );
    }

double moab::Element::SpectralHex::integrate_scalar_field ( const double * field_vertex_values ) const [virtual]

Integrate a scalar field over the element given field values at the vertices.

Implements moab::Element::Map.

Definition at line 1085 of file ElemUtil.cpp.

References _data, _ld, _n, _xyz, moab::Matrix3::determinant(), opt_data_3::elx, lagrange_data::J, opt_data_3::jac, opt_vol_set_intp_3(), and lagrange_data::z.

Referenced by test_spectral_hex().

    {
        // set the position of GL points
        // set the positions of GL nodes, before evaluations
        _data.elx[0] = _xyz[0];
        _data.elx[1] = _xyz[1];
        _data.elx[2] = _xyz[2];
        double xi[3];
        // triple loop; the most inner loop is in r direction, then s, then t
        double integral = 0.;
        // double volume = 0;
        int index = 0;  // used fr the inner loop
        for( int k = 0; k < _n; k++ )
        {
            xi[2] = _ld[2].z[k];
            // double wk= _ld[2].w[k];
            for( int j = 0; j < _n; j++ )
            {
                xi[1] = _ld[1].z[j];
                // double wj= _ld[1].w[j];
                for( int i = 0; i < _n; i++ )
                {
                    xi[0] = _ld[0].z[i];
                    // double wi= _ld[0].w[i];
                    opt_vol_set_intp_3( &_data, xi );
                    double wk = _ld[2].J[k];
                    double wj = _ld[1].J[j];
                    double wi = _ld[0].J[i];
                    Matrix3 J( 0. );
                    // it is organized differently
                    J( 0, 0 ) = _data.jac[0];  // dx/dr
                    J( 0, 1 ) = _data.jac[1];  // dx/ds
                    J( 0, 2 ) = _data.jac[2];  // dx/dt
                    J( 1, 0 ) = _data.jac[3];  // dy/dr
                    J( 1, 1 ) = _data.jac[4];  // dy/ds
                    J( 1, 2 ) = _data.jac[5];  // dy/dt
                    J( 2, 0 ) = _data.jac[6];  // dz/dr
                    J( 2, 1 ) = _data.jac[7];  // dz/ds
                    J( 2, 2 ) = _data.jac[8];  // dz/dt
                    double bm = wk * wj * wi * J.determinant();
                    integral += bm * field_vertex_values[index++];
                    // volume +=bm;
                }
            }
        }
        // std::cout << "volume: " << volume << "\n";
        return integral;
    }

Matrix3 moab::Element::SpectralHex::jacobian ( const CartVect & xi ) const [virtual]

Evaluate the map's Jacobi matrix.

Implements moab::Element::Map.

Definition at line 100 of file SpectralHex.cpp.

References moab::SpectralHex::_data, opt_data_3::elx, moab::CartVect::get(), opt_data_3::jac, and opt_vol_set_intp_3().

Referenced by test_spectral_hex().

{
    real x_i[3];
    params.get( x_i );
    // set the positions of GL nodes, before evaluations
    _data.elx[0] = _xyz[0];
    _data.elx[1] = _xyz[1];
    _data.elx[2] = _xyz[2];
    opt_vol_set_intp_3( &_data, x_i );
    Matrix3 J( 0. );
    // it is organized differently
    J( 0, 0 ) = _data.jac[0];  // dx/dr
    J( 0, 1 ) = _data.jac[1];  // dx/ds
    J( 0, 2 ) = _data.jac[2];  // dx/dt
    J( 1, 0 ) = _data.jac[3];  // dy/dr
    J( 1, 1 ) = _data.jac[4];  // dy/ds
    J( 1, 2 ) = _data.jac[5];  // dy/dt
    J( 2, 0 ) = _data.jac[6];  // dz/dr
    J( 2, 1 ) = _data.jac[7];  // dz/ds
    J( 2, 2 ) = _data.jac[8];  // dz/dt
    return J;
}

void moab::Element::SpectralHex::set_gl_points	(	double *	x,
		double *	y,
		double *	z
	)

Definition at line 52 of file SpectralHex.cpp.

Referenced by moab::Coupler::nat_param(), and test_spectral_hex().

{
    _xyz[0] = x;
    _xyz[1] = y;
    _xyz[2] = z;
}

Member Data Documentation

opt_data_3 moab::Element::SpectralHex::_data [static, protected]

Definition at line 272 of file ElemUtil.hpp.

Referenced by ievaluate(), Init(), and integrate_scalar_field().

bool moab::Element::SpectralHex::_init = false [static, protected]

Definition at line 276 of file ElemUtil.hpp.

Referenced by Init(), and ~SpectralHex().

lagrange_data moab::Element::SpectralHex::_ld [static, protected]

Definition at line 271 of file ElemUtil.hpp.

Referenced by evaluate_scalar_field(), Init(), and integrate_scalar_field().

int moab::Element::SpectralHex::_n [static, protected]

Definition at line 269 of file ElemUtil.hpp.

Referenced by Init(), and integrate_scalar_field().

realType * moab::Element::SpectralHex::_odwork [static, protected]

Definition at line 273 of file ElemUtil.hpp.

Referenced by evaluate_scalar_field(), and Init().

realType* moab::Element::SpectralHex::_xyz[3] [protected]

Definition at line 278 of file ElemUtil.hpp.

Referenced by ievaluate(), integrate_scalar_field(), and SpectralHex().

realType * moab::Element::SpectralHex::_z [static, protected]

Definition at line 270 of file ElemUtil.hpp.

Referenced by Init().

List of all members.

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

Public Member Functions

Protected Attributes

Static Protected Attributes

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation