An algebraic multigrid solver for transonic flow problems

Shlomy Shitrit*, David Sidilkover, Alexander Gelfgat

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This article presents the latest developments of an algebraic multigrid (AMG) based on full potential equation (FPE) solver for transonic flow problems with emphasis on advanced applications. The mathematical difficulties of the problem are associated with the fact that the governing equation changes its type from elliptic (subsonic flow) to hyperbolic (supersonic flow). The flow solver is capable of dealing with flows from subsonic to transonic and supersonic conditions and is based on structured body-fitted grids approach for treating complex geometries. The computational method was demonstrated on a variety of problems to be capable of predicting the shock formation and achieving residual reduction of roughly an order of magnitude per cycle both for elliptic and hyperbolic problems, through the entire range of flow regimes, independent of the problem size (resolution).

Original languageEnglish
Pages (from-to)1707-1729
Number of pages23
JournalJournal of Computational Physics
Issue number4
StatePublished - 20 Feb 2011


  • Algebraic multigrid (AMG)
  • Full potential equation
  • Transonic flow


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