A multigrid method for rans equations with two-equation turbulence models

M. Wasserman, Y. Mor-Yossef, I. Yavneh, J. B. Greenberg

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

Abstract

The design of a new, truly robust multigrid framework for the solution of steady-state Reynolds-averaged Navier-Stokes (RANS) equations with two-equation turbulence models is presented. While the mean-flow equations and the turbulence model equations are advanced in time in a loosely-coupled manner, their multigrid cycling is strongly coupled (FC-MG). Thanks to the loosely-coupled approach, the unconditionally positive-convergent implicit time integration scheme for two-equation turbulence models (UPC) is used. An extension of the UPC scheme within the multigrid method is proposed. The resulting novel FC-MG-UPC algorithm is free of artificial stabilizing techniques, leading to increased multigrid efficiency. Numerical experiments are conducted, simulating the separated flow about the NACA4412 airfoil and the transonic flow about the RAE2822 airfoil. Results obtained from numerical simulations demonstrate the strong consistency and case-independence of the method.

Original languageEnglish
Title of host publication50th Israel Annual Conference on Aerospace Sciences 2010
Pages1214-1234
Number of pages21
StatePublished - 2011
Event50th Israel Annual Conference on Aerospace Sciences 2010 - Tel-Aviv and Haifa, Israel
Duration: 17 Feb 201018 Feb 2010

Publication series

Name50th Israel Annual Conference on Aerospace Sciences 2010
Volume2

Conference

Conference50th Israel Annual Conference on Aerospace Sciences 2010
Country/TerritoryIsrael
CityTel-Aviv and Haifa
Period17/02/1018/02/10

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • General Computer Science
  • Energy Engineering and Power Technology
  • General Physics and Astronomy
  • Space and Planetary Science

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