Preconditioning methods for low-speed flows

E. Turkel, V. N. Vatsa, R. Radespiel

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


We consider the steady-state equations for a Compressible fluid. For low-speed flow, the system is stiff because the ratio of the convective speed to the speed of sound is quite small. To overcome this difficulty, we alter the time evolution of the equations but retain the same steady-state analytic equations. To achieve high numerical resolution, we also alter the artificial viscosity of the numerical scheme, which is implemented conveniently by using other sets of variables in addition to the conservative variables. We investigate the effect of the artificial dissipation within this preconditioned system. We consider both the nonconservative and conservative formulations for artificial viscosity and examine their effect on the accuracy and convergence of the numerical solutions. The numerical results for viscous three-dimensional wing flows and two-dimensional multi-element airfoil flows indicate that efficient multigrid computations of flows with arbitrarily low Mach numbers are now possible with only modifications to existing compressible Navier-Stokes codes. The conservative formulation for artificial viscosity, coupled with the preconditioning, offers a viable computational fluid dynamics (CFD) tool for analyzing problems that contain both incompressible and compressible flow regimes.

Original languageEnglish
Title of host publication14th Applied Aerodynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Number of pages11
ISBN (Print)9781563472121
StatePublished - 1996
Event14th Applied Aerodynamics Conference, 1996 - New Orleans, United States
Duration: 17 Jun 199620 Jun 1996

Publication series

Name14th Applied Aerodynamics Conference


Conference14th Applied Aerodynamics Conference, 1996
Country/TerritoryUnited States
CityNew Orleans


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