Accelerated Multigrid High Accuracy Solution of theConvection - Di usion Equation with High Reynolds Number
نویسنده
چکیده
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 is stable and yields accurate solution for high Reynolds number problems. We also show that the MRS acceleration procedure is eecient and the acceleration cost is negligible.
منابع مشابه
High accuracy multigrid solution of the 3D convection±diusion equation
We present an explicit fourth-order compact ®nite dierence scheme for approximating the three-dimensional (3D) convection±diusion equation with variable coecients. This 19-point formula is de®ned 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 parallelizatio...
متن کاملAccelerated Multigrid High Accuracy Solution of the Convection-Diffusion Equation with High Reynolds Number
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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...
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