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

Accelerated Multigrid High Accuracy Solution of theConvection - Di usion 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...

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

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...

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

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