Multigrid solution of the Navier-Stokes equations at low speeds with large temperature variations

[摘要] Multigrid methods for the Navier-Stokes equations at low speeds and large temperature variations are investigated. The compressible equations with time-derivative preconditioning and preconditioned flux-difference splitting of the inviscid terms are used. Three implicit smoothers have been incorporated into a common multigrid procedure. Both full coarsening and semi-coarsening with directional fine-grid defect correction have been studied. The resulting methods have been tested on four 2D laminar problems over a range of Reynolds numbers on both uniform and highly stretched grids. Two of the three methods show efficient and robust performance over the entire range of conditions. In addition, none of the methods has any difficulty with the large temperature variations. (C) 2003 Published by Elsevier B.V.

[发布日期] 2003-12-10

[关键词] multigrid;implicit smoothers;time-derivative preconditioning;flux-difference splitting;defect correction;Navier-Stokes