Fast multigrid solution of the advection problem with closed characteristics
- Israel Inst. of Technology, Haifa (Israel)
- Univ. of Twente, Enschede (Netherlands)
- Weizmann Inst. of Science, Rehovot (Israel)
The numerical solution of the advection-diffusion problem in the inviscid limit with closed characteristics is studied as a prelude to an efficient high Reynolds-number flow solver. It is demonstrated by a heuristic analysis and numerical calculations that using upstream discretization with downstream relaxation-ordering and appropriate residual weighting in a simple multigrid V cycle produces an efficient solution process. We also derive upstream finite-difference approximations to the advection operator, whose truncation terms approximate {open_quotes}physical{close_quotes} (Laplacian) viscosity, thus avoiding spurious solutions to the homogeneous problem when the artificial diffusivity dominates the physical viscosity.
- Research Organization:
- Front Range Scientific Computations, Inc., Lakewood, CO (United States)
- OSTI ID:
- 433401
- Report Number(s):
- CONF-9604167-Vol.1; ON: DE96015306; TRN: 97:000720-0076
- Resource Relation:
- Journal Volume: 19; Journal Issue: 1; Conference: Copper Mountain conference on iterative methods, Copper Mountain, CO (United States), 9-13 Apr 1996; Other Information: PBD: [1996]; Related Information: Is Part Of Copper Mountain conference on iterative methods: Proceedings: Volume 1; PB: 422 p.
- Country of Publication:
- United States
- Language:
- English
Similar Records
Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators
Analysis of a fourth-order compact scheme for convection-diffusion