peclet::flow::ChebCoeffs Struct Reference

The Chebyshev coefficient recurrence (Golub-Varga; the form multigrid Chebyshev smoothers use). More...

#include <mac_cheb_momentum.hpp>

Public Member Functions
	ChebCoeffs (double lo, double hi)
void	next (int it, double &alpha, double &beta)
	Coefficients for iteration it (0-based). Advances the recurrence.

Public Attributes
double	theta
double	delta
double	sigma
double	rho

Detailed Description

The Chebyshev coefficient recurrence (Golub-Varga; the form multigrid Chebyshev smoothers use).

Iteration 0 takes alpha = 1/theta, beta = 0; iteration k takes rho_k = 1/(2 sigma - rho_{k-1}), alpha = 2 rho_k / delta, beta = rho_k rho_{k-1}. Holding the recurrence in one small struct keeps the driver free of solver algebra.

Definition at line 115 of file mac_cheb_momentum.hpp.

Constructor & Destructor Documentation

ChebCoeffs()

peclet::flow::ChebCoeffs::ChebCoeffs ( double  lo, double  hi  )

inline

Definition at line 117 of file mac_cheb_momentum.hpp.

Member Function Documentation

next()

void peclet::flow::ChebCoeffs::next ( int  it, double &  alpha, double &  beta  )

inline

Coefficients for iteration it (0-based). Advances the recurrence.

Definition at line 120 of file mac_cheb_momentum.hpp.

References delta, rho, sigma, and theta.

Referenced by peclet::flow::VelocityMG::chebSmooth(), and peclet::flow::Solver< Grid >::chebSolveComp().

Member Data Documentation

theta

double peclet::flow::ChebCoeffs::theta

Definition at line 116 of file mac_cheb_momentum.hpp.

Referenced by next().

delta

double peclet::flow::ChebCoeffs::delta

Definition at line 116 of file mac_cheb_momentum.hpp.

Referenced by next().

sigma

double peclet::flow::ChebCoeffs::sigma

Definition at line 116 of file mac_cheb_momentum.hpp.

Referenced by next(), and anderson_synthetic_maps.LinearMapSolver::step().

rho

double peclet::flow::ChebCoeffs::rho

Definition at line 116 of file mac_cheb_momentum.hpp.

Referenced by test_collocated_stability_guard.Path::_build(), steady_acceleration_gates.Case::configure(), steady_acceleration_gates.Case::dt(), and next().

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

• src/mac_cheb_momentum.hpp