High accuracy multigrid solution of the 3D convection±diusion equation

High Accuracy and Scalable Multiscale Multigrid Computation for 3D Convection Diffusion Equation

We present a sixth order explicit compact finite difference scheme to solve the three dimensional (3D) convection diffusion equation. We first use multiscale multigrid method to solve the linear systems arising from a 19-point fourth order discretization scheme to compute the fourth order solutions on both the coarse grid and the fine grid. Then an operator based interpolation scheme combined w...

High accuracy multigrid solution of the 3D convection-diffusion equation

We present an explicit fourth-order compact nite diierence scheme for approximating the three dimensional convection-diiusion equation with variable coeecients. This 19-point formula is deened on a uniform cubic grid. Fourier smoothing analysis is performed to show that the smoothing factor of certain relaxation techniques used with the scheme is smaller than 1. We design a parallelization-orie...

Accelerated Multigrid High Accuracy Solution of the Convection-Diffusion Equation with High Reynolds Number

High Accuracy Multigrid Solution of the 3d Convection-diiusion Equation

We present an explicit fourth-order compact nite diierence scheme for approximating the three dimensional convection-diiusion equation with variable coeecients. This 19-point formula is deened on a uniform cubic grid. Fourier smoothing analysis is performed to show that the smoothing factor of some relaxation techniques with our scheme is smaller than 1. We further design a parallelization-orie...

Accelerated Multigrid High Accuracy Solution of the Convection-diiusion Equation with High Reynolds Number

A fourth-order compact nite diierence scheme is employed with the multigrid algorithm to obtain highly accurate numerical solution of the convection-diiusion equation with very high Reynolds number and variable coeecients. The multigrid solution process is accelerated by a minimal residual smoothing (MRS) technique. Numerical experiments are employed to show that the proposed multigrid solver i...