A parallel unstructured implicit solver for hypersonic reacting flow simulation

Research output: Chapter in Book/Report/Conference proceedingChapter

27 Scopus citations


The chapter focuses on two aspects of the solver, as well as the parallel performance of the hybrid implicit method. A new parallel implicit solver for the solution of the compressible Navier-Stokes equations with finite rate chemistry on unstructured finite volume meshes is presented in the chapter. The solver employs the data-parallel line relaxation (DPLR) method for implicit time integration along the lines of cells that are normal to the wall. A point-implicit method is used in the regions where surface-normal lines are not constructed. The new method combines the robustness and efficiency of the implicit DPLR method with the flexibility of using unstructured discretizations. The solver employs a low-dissipation pure-upwind numerical scheme based on the Steger-Warming split flux method, as well as a MUSCL-type scheme designed for unstructured discretizations. The DPLR method is superior to other parallel methods, such as matrix-based point-implicit methods designed for chemically reacting hypersonic flow simulations.

Original languageEnglish (US)
Title of host publicationParallel Computational Fluid Dynamics 2005
Number of pages7
ISBN (Print)9780444522061
StatePublished - Dec 1 2006


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