PiecewiseLinearFillPatch Class Reference

Fills ghost cells by linear interpolation in space and time. More...

#include <PiecewiseLinearFillPatch.H>

Collaboration diagram for PiecewiseLinearFillPatch:

[legend]List of all members.


Public Member Functions
	PiecewiseLinearFillPatch ()
	~PiecewiseLinearFillPatch ()
	PiecewiseLinearFillPatch (const DisjointBoxLayout &a_fine_domain, const DisjointBoxLayout &a_coarse_domain, int a_num_comps, const Box &a_crse_problem_domain, int a_ref_ratio, int a_interp_radius)
	PiecewiseLinearFillPatch (const DisjointBoxLayout &a_fine_domain, const DisjointBoxLayout &a_coarse_domain, int a_num_comps, const ProblemDomain &a_crse_problem_domain, int a_ref_ratio, int a_interp_radius)
void	define (const DisjointBoxLayout &a_fine_domain, const DisjointBoxLayout &a_coarse_domain, int a_num_comps, const Box &a_crse_problem_domain, int a_ref_ratio, int a_interp_radius)
void	define (const DisjointBoxLayout &a_fine_domain, const DisjointBoxLayout &a_coarse_domain, int a_num_comps, const ProblemDomain &a_crse_problem_domain, int a_ref_ratio, int a_interp_radius)
bool	isDefined () const
void	fillInterp (LevelData< FArrayBox > &a_fine_data, const LevelData< FArrayBox > &a_old_coarse_data, const LevelData< FArrayBox > &a_new_coarse_data, Real a_time_interp_coef, int a_src_comp, int a_dest_comp, int a_num_comp)
void	printIntVectSets () const
Protected Member Functions
void	timeInterp (const LevelData< FArrayBox > &a_old_coarse_data, const LevelData< FArrayBox > &a_new_coarse_data, Real a_time_interp_coef, int a_src_comp, int a_dest_comp, int a_num_comp)
void	fillConstantInterp (LevelData< FArrayBox > &a_fine_data, int a_src_comp, int a_dest_comp, int a_num_comp) const
void	computeSlopes (int a_src_comp, int a_num_comp)
void	incrementLinearInterp (LevelData< FArrayBox > &a_fine_data, int a_src_comp, int a_dest_comp, int a_num_comp) const
Protected Attributes
bool	m_is_defined
int	m_ref_ratio
int	m_interp_radius
LevelData< FArrayBox >	m_coarsened_fine_data
LevelData< FArrayBox >	m_slopes [3]
ProblemDomain	m_crse_problem_domain
LayoutData< IntVectSet >	m_fine_interp
LayoutData< IntVectSet >	m_coarse_centered_interp [SpaceDim]
LayoutData< IntVectSet >	m_coarse_lo_interp [SpaceDim]
LayoutData< IntVectSet >	m_coarse_hi_interp [SpaceDim]
Static Protected Attributes
const int	s_stencil_radius

Detailed Description

Fills ghost cells by linear interpolation in space and time.

Fills some fine level ghost cells by piecewise linear interpolation from the coarse level.

This class fills the first a_interp_radius layers of fine level ghost cells that are not part of other fine level grids. It uses piecewise linear interpolation from the coarse level. The slopes are computed using van leer limiting if there is enough room for the stencil. It drops order and uses first-order one-sided differences otherwise.

Below is a picture of a fine level, with a_interp_radius = 1. The ghost cells of grid 1 are shown. Cells marked X are interpolated to from the coarse level. Cells marked ^ are not interpolated to because they are in the valid domain of another fine grid. Cells marked . are not interpolated to because they are outside the problem domain. All of this changes in the presence of periodic boundary conditions -- in periodic directions, all cells are considered to be within the domain.

                                 
 +=======================================+
 |                                       |
 |                                       |
 |                                       |
 |                                       |
 |         + - - - - - - - - - - - - - - | +
 |          X X X X X X X X X X X X X X X|. 
 |         | +===========================+ |  
 |          X|                           |.    
 |         | |                           | |   
 |          X|        grid 1             |.    
 |         | |                           | |   
 |          X|                           |.    
 |         | |                           | |   
 |          X|                           |.    
 |   +=======+===+===============+=======+ |
 |   |      ^ ^ ^|X X X X X X X X|^ ^ ^ ^|.  
 |   |     + - - | - - - - - - - | - - - | + 
 |   |           |               |grid 2 | 
 |   |  grid 0   |               +=======+ 
 |   |           |                       | 
 |   |           |                       | 
 |   |           |                       | 
 |   +===========+                       | 
 |                                       |
 |                                       |
 |              problem domain           |
 +=======================================+

the picture below shows the locations of the types of slopes. The coarse grid is shown, and the projection of the fine grid onto the coarse index space (on which slopes are computed). Coarse cells marked ^ and . do not need slopes. Van Leer slopes in both directions are used at coarse cells marked X. Coarse cells marked V and < have one-sided differencing: cells marked V have low-sided differencing in the y-direction (in this example, because the coarse grid doesn't exist on the high side of these cells), and cells marked < have low-sided differencing in the x-direction (because the problem domain doesn't exist on the high side of these cells). There can also be cells that have one-sided differences in both directions.

                                 
 +-----------------------+===============+
 |                       | coarse grid 1 |
 |                       |               |
 |                       |               |
 +=======================+ - - - - - - - | - +
 |        \ / \ / \ / \ /|\ / \ / \ / \ /|    
 |       | V   V   V   V | X   X   X   < | . |
 |        / \ / \ / \ / \|/ \ / \ / \ / \|    
 |       |   +---------------------------+   |
 |        \ /|           |               |     
 |       | X |           |               | . | 
 |        / \|           |               |     
 |       |   |           |               |   | 
 |        \ /|           |               |     
 |       | X |           |               | . | 
 |        / \|           |               |     
 |   +-------+---+---------------+-------+   |
 |   |           |\ / \ /|\ / \ /|       |    
 |   |   | ^   ^ | X   X | X   X | ^   ^ | . |
 |   |           |/ \ / \|/ \ / \|       |    
 |   |   + - - - | - - - - - - - +-------+ - +
 |   |           |       |               | 
 |   |           |       |               | 
 |   |           |       |               | 
 |   +-----------+       +===============+ 
 |                       |               |
 |                       |               |
 |      coarse grid 0    |               |
 +=======================+---------------+

Constructor & Destructor Documentation

PiecewiseLinearFillPatch::PiecewiseLinearFillPatch ( )

Default constructor. User must subsequently call define().

PiecewiseLinearFillPatch::~PiecewiseLinearFillPatch ( )

Destructor.

PiecewiseLinearFillPatch::PiecewiseLinearFillPatch ( const DisjointBoxLayout & a_fine_domain,

const DisjointBoxLayout & a_coarse_domain,

int a_num_comps,

const Box & a_crse_problem_domain,

int a_ref_ratio,

int a_interp_radius

)

Defining constructor.
{ Arguments:}\ a_fine_domain (not modified): domain of fine level. \ a_coarse_domain (not modified): domain of coarse level. \ a_num_comps (not modified): number of components of state vector. \ a_problem_domain (not modified): problem domain on the coarse level. \ a_ref_ratio (not modified): refinement ratio. \ a_interp_radius (not modified): number of layers of fine ghost cells to fill by interpolation. \

PiecewiseLinearFillPatch::PiecewiseLinearFillPatch ( const DisjointBoxLayout & a_fine_domain,

const DisjointBoxLayout & a_coarse_domain,

int a_num_comps,

const ProblemDomain & a_crse_problem_domain,

int a_ref_ratio,

int a_interp_radius

)

Defining constructor.
{ Arguments:}\ a_fine_domain (not modified): domain of fine level. \ a_coarse_domain (not modified): domain of coarse level. \ a_num_comps (not modified): number of components of state vector. \ a_problem_domain (not modified): problem domain on the coarse level. \ a_ref_ratio (not modified): refinement ratio. \ a_interp_radius (not modified): number of layers of fine ghost cells to fill by interpolation. \

Member Function Documentation

void PiecewiseLinearFillPatch::computeSlopes ( int a_src_comp,

int a_num_comp

) [protected]

void PiecewiseLinearFillPatch::define ( const DisjointBoxLayout & a_fine_domain,

const DisjointBoxLayout & a_coarse_domain,

int a_num_comps,

const ProblemDomain & a_crse_problem_domain,

int a_ref_ratio,

int a_interp_radius

)

Defines this object. The user may call define() once and call fillInterp() multiple times with different valid data sets.
{ Arguments:}\ a_fine_domain (not modified): domain of fine level. \ a_coarse_domain (not modified): domain of coarse level. \ a_num_comps (not modified): number of components of state vector. \ a_problem_domain (not modified): problem domain on the coarse level. \ a_ref_ratio (not modified): refinement ratio. \ a_interp_radius (not modified): number of layers of fine ghost cells to fill by interpolation. \
{ This:}\ ---This object is modified.---

void PiecewiseLinearFillPatch::define ( const DisjointBoxLayout & a_fine_domain,

const DisjointBoxLayout & a_coarse_domain,

int a_num_comps,

const Box & a_crse_problem_domain,

int a_ref_ratio,

int a_interp_radius

)

Defines this object. The user may call define() once and call fillInterp() multiple times with different valid data sets.
{ Arguments:}\ a_fine_domain (not modified): domain of fine level. \ a_coarse_domain (not modified): domain of coarse level. \ a_num_comps (not modified): number of components of state vector. \ a_problem_domain (not modified): problem domain on the coarse level. \ a_ref_ratio (not modified): refinement ratio. \ a_interp_radius (not modified): number of layers of fine ghost cells to fill by interpolation. \
{ This:}\ ---This object is modified.---

void PiecewiseLinearFillPatch::fillConstantInterp ( LevelData< FArrayBox > & a_fine_data,

int a_src_comp,

int a_dest_comp,

int a_num_comp

) const [protected]

void PiecewiseLinearFillPatch::fillInterp ( LevelData< FArrayBox > & a_fine_data,

const LevelData< FArrayBox > & a_old_coarse_data,

const LevelData< FArrayBox > & a_new_coarse_data,

Real a_time_interp_coef,

int a_src_comp,

int a_dest_comp,

int a_num_comp

)

Fills the first m_interp_radius layers of fine ghost cells by interpolation from the coarse level. It is an error to call if not this->isDefined(). The range components to interpolate must be specified. The corresponding components on the coarse and fine levels may be different. It is required that a_fine_data's domain is the same as was specified in the most recent call to define(). It is expected that the coarse and fine level's domains are properly nested.
{ Arguments:}\ a_fine_data (modified): fine-level data being interpolated to.\ a_old_coarse_data (not modified): coarse level source data at the old time.\ a_new_coarse_data (not modified): coarse level source data at the new time.\ a_time_interp_coef (not modified): time interpolation coefficient, in the range [0:1]. 0=old time, 1=new time.\ a_src_comp (not modifed): starting coarse data component.\ a_dest_comp (not modifed): starting fine data component.\ a_num_comp (not modified): number of data components to be interpolated.
{ This:}\ Well, it's complicated. As far as the user is concerned, this object is not modified. See the design document if you care for details.

void PiecewiseLinearFillPatch::incrementLinearInterp ( LevelData< FArrayBox > & a_fine_data,

int a_src_comp,

int a_dest_comp,

int a_num_comp

) const [protected]

bool PiecewiseLinearFillPatch::isDefined ( ) const

Returns true if this object was created with the defining constructor or if define() has been called.
{ This:}\ This object is not modified.

void PiecewiseLinearFillPatch::printIntVectSets ( ) const

void PiecewiseLinearFillPatch::timeInterp ( const LevelData< FArrayBox > & a_old_coarse_data,

const LevelData< FArrayBox > & a_new_coarse_data,

Real a_time_interp_coef,

int a_src_comp,

int a_dest_comp,

int a_num_comp

) [protected]