Extension of multigrid methodology to supersonic/hypersonic 3‐D viscous flows

Veer N. Vatsa*, Eli Turkel, J. S. Abolhassani

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A multigrid acceleration technique developed for solving the three‐dimensional Navier–Stokes equations for subsonic/transonic flows has been extended to supersonic/hypersonic flows. An explicit multistage Runge–Kutta type of time‐stepping scheme is used as the basic algorithm in conjunction with the multigrid scheme. Solutions have been obtained for a blunt conical frustum at Mach 6 to demonstrate the applicability of the multigrid scheme to high‐speed flows. Computations have also been performed for a generic High‐Speed Civil Transport configuration designed to cruise at Mach 3. These solutions demonstrate both the efficiency and accuracy of the present scheme for computing high‐speed viscous flows over configurations of practical interest.

Original languageEnglish
Pages (from-to)825-837
Number of pages13
JournalInternational Journal for Numerical Methods in Fluids
Issue number10
StatePublished - 30 Nov 1993


  • Hypersonic
  • Multigrid
  • Supersonic
  • Viscous


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