An Efficient Multigrid Algorithm for Compressible Reactive Flows

Scott G. Sheffer, Luigi Martinelli, Antony Jameson

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


This paper presents a parallel multigrid method for computing inviscid and viscous high speed steady-state reactive flows. The governing equations for reactive flow are solved using an explicit multigrid algorithm while treating the chemical source terms in a point implicit manner. The CUSP (Convective Upwind and Split Pressure) scheme is used to provide necessary artificial dissipation without contaminating the solution. This explicit method yields excellent parallel speedups, thus enabling the calculation of reactive flows with detailed chemical kinetics including large numbers of species and reactions. Results indicate good multigrid speedups and adequate resolution of the reaction zone in both inviscid axisymmetric and viscous two-dimensional hydrogen/oxygen and hydrogen/air test cases.

Original languageEnglish (US)
Pages (from-to)484-516
Number of pages33
JournalJournal of Computational Physics
Issue number2
StatePublished - Aug 10 1998

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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