Progress with multigrid schemes for hypersonic flow problems

作者: R. Radespiel , R.C. Swanson

DOI: 10.1006/JCPH.1995.1009

关键词:

摘要: Several multigrid schemes are considered for the numerical computation of viscous hypersonic flows. For each scheme, basic solution algorithm employs upwind spatial discretization with explicit multistage time stepping. Two-level versions various algorithms applied to two-dimensional advection equation, and Fourier analysis is used determine their damping properties. The capabilities methods assessed by solving three different flow problems. Some new based on semicoarsening strategies shown be quite effective in relieving stiffness caused high-aspect-ratio cells required resolve high Reynolds number These exhibit good convergence rates numbers up 200 X 10{sup 6} Mach 25. 32 refs., 31 figs., 1 tab.

参考文章(13)
Antony Jameson, Multigrid algorithms for compressible flow calculations Lecture Notes in Mathematics. pp. 166- 201 ,(1986) , 10.1007/BFB0072647
B. BALDWIN, H. LOMAX, Thin-layer approximation and algebraic model for separated turbulent flows 16th Aerospace Sciences Meeting. ,(1978) , 10.2514/6.1978-257
Eli Turkel, Preconditioned methods for solving the incompressible low speed compressible equations Journal of Computational Physics. ,vol. 72, pp. 277- 298 ,(1987) , 10.1016/0021-9991(87)90084-2
Bram van Leer, Wen-Tzong Lee, Philip L. Roe, Kenneth G. Powell, Chang-Hsien Tai, Design of optimally smoothing multistage schemes for the Euler equations Communications in Applied Numerical Methods. ,vol. 8, pp. 761- 769 ,(1992) , 10.1002/CNM.1630081006
NORBERT KROLL, DATTA GAITONDE, MICHAEL AFTOSMIS, A Systematic Comparative Study of Several High Resolution Schemes for Complex Problems In High Speed Flows 29th Aerospace Sciences Meeting. ,(1991) , 10.2514/6.1991-636
E. TURKEL, R. SWANSON, V. VATSA, J. WHITE, Multigrid for hypersonic viscous two- and three-dimensional flows 10th Computational Fluid Dynamics Conference. ,(1991) , 10.2514/6.1991-1572
P.L. Roe, Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes Journal of Computational Physics. ,vol. 135, pp. 250- 258 ,(1997) , 10.1006/JCPH.1997.5705
R. Radespiel, C. Rossow, R. C. Swanson, Efficient cell-vertex multigrid scheme for the three-dimensional Navier-Stokes equations AIAA Journal. ,vol. 28, pp. 1464- 1472 ,(1990) , 10.2514/3.25239
Wim A Mulder, A new multigrid approach to convection problems Journal of Computational Physics. ,vol. 83, pp. 303- 323 ,(1989) , 10.1016/0021-9991(89)90121-6
Achi Brandt, Multi-level adaptive solutions to boundary-value problems Mathematics of Computation. ,vol. 31, pp. 333- 390 ,(1977) , 10.1090/S0025-5718-1977-0431719-X