A parallel unstructured implicit solver for hypersonic reacting flow simulation

Publisher Summary 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.