Multigrid Line Smoothers for Higher Order Upwind Discretizations of Convection-Dominated Problems
作者： C.W. Oosterlee , F.J. Gaspar , T. Washio , R. Wienands
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摘要: In this paper we present new multigrid line smoothers for the solution of higher order discretizations convection-dominated problems directly. The behavior is analyzed theoretically with Fourier smoothing and two-grid analysis. A parallel tri-line variant presented evaluated. are applied to scalar convection-diffusion problems, discretized limiters systems incompressible Navier?Stokes Euler equations.
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sci-hub.se 参考文章(22)
Pieter Wesseling (Dr. Ir.), An Introduction to Multigrid Methods ,(1992)
T. Washio, C. W. Oosterlee, Flexible Multiple Semicoarsening for Three-Dimensional Singularly Perturbed Problems SIAM Journal on Scientific Computing. ,vol. 19, pp. 1646- 1666 ,(1998) , 10.1137/S1064827596305829
R. M. Smith, A. G. Hutton, THE NUMERICAL TREATMENT OF ADVECTION: A PERFORMANCE COMPARISON OF CURRENT METHODS Numerical Heat Transfer Part A-applications. ,vol. 5, pp. 439- 461 ,(1982) , 10.1080/10407788208913458
E. Dick, J. Linden, A multigrid method for steady incompressible navier‐stokes equations based on flux difference splitting International Journal for Numerical Methods in Fluids. ,vol. 14, pp. 1311- 1323 ,(1992) , 10.1002/FLD.1650141104
Erick Dick, Kris Riemslagh, Multi-staging of Jacobi relaxation to improve smoothing properties of multigrid methods for steady Euler equations Journal of Computational and Applied Mathematics. ,vol. 50, pp. 241- 254 ,(1994) , 10.1016/0377-0427(94)90304-2
C. W. Oosterlee, T. Washio, An Evaluation of Parallel Multigrid as a Solver and a Preconditioner for Singularly Perturbed Problems SIAM Journal on Scientific Computing. ,vol. 19, pp. 87- 110 ,(1998) , 10.1137/S1064827596302825
A. JAMESON, WOLFGANG SCHMIDT, ELI TURKEL, Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes 14th Fluid and Plasma Dynamics Conference. pp. 1259- 1281 ,(1981) , 10.2514/6.1981-1259
U Ghia, K.N Ghia, C.T Shin, High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method Journal of Computational Physics. ,vol. 48, pp. 387- 411 ,(1982) , 10.1016/0021-9991(82)90058-4
David Sidilkover, Achi Brandt, Multigrid solution to steady-state two-dimensional conservation laws SIAM Journal on Numerical Analysis. ,vol. 30, pp. 249- 274 ,(1993) , 10.1137/0730012
D Bradley, M Missaghi, SB Chin, None, A Taylor-series approach to numerical accuracy and a third-order scheme for strong convective flows Applied Mechanics and Engineering. ,vol. 69, pp. 133- 151 ,(1988) , 10.1016/0045-7825(88)90184-3