An Accurate ENO Driven Multigrid Method Applied to 3D Turbulent Transonic Flows

B. Epstein, A. Averbuch, I. Yavneh

Research output: Contribution to journalArticlepeer-review

Abstract

A multigrid method for computing steady solutions of the compressible Navier-Stokes equations is described. The convection part of the equations is approximated by a simple low-order upwind-biased scheme employed for multigrid relaxation in combination with a higher order essentially non-oscillatory (ENO) scheme used to supply a defect correction to the right-hand side of the discrete equations on the locally finest multigrid levels in a way ensuring the overall high accuracy of the solution. A damping technique is employed to stabilize and accelerate the defect-correction process.

Original languageEnglish
Pages (from-to)316-338
Number of pages23
JournalJournal of Computational Physics
Volume168
Issue number2
DOIs
StatePublished - 10 Apr 2001

Keywords

  • Defect correction
  • ENO
  • Multigrid
  • Navier-Stokes
  • Turbulent flows

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