Third-Order Inviscid and Second-Order Hyperbolic Navier-Stokes Solvers for Three-Dimensional Inviscid and Viscous Flows

摘要

This paper presents third-order-inviscid implicit edge-based solvers for three-dimensional inviscid and viscous flows on unstructured tetrahedral grids. Third-order edge-based scheme has been implemented into NASA's FUN3D code for inviscid terms. Second-order edge-based hyperbolic Navier-Stokes schemes, which achieve third-order accuracy in the inviscid terms, have also been implemented. Some key improvements are reported for the hyperbolic Navier-Stokes schemes. Third-order accuracy is verified by the method of manufactured solutions for unstructured tetrahedral grids. Developed schemes are compared for some representative test cases for three-dimensional inviscid and viscous flows.