Numerical Study Between Structured And Unstructured Meshes For Euler And Navier-Stokes Equations.

Abstract

The mesh influence for the solution of compressible flows with two explicit schemes is
presented. The investigations measured the order of accuracy, absolute error and the computational
cost with structured and unstructured meshes. Two explicit Taylor-Galerkin schemes (one-step and
two-step) with a linear tetrahedral and tri-linear hexahedral elements are employed to analyze the
compressible Euler and Navier-Stokes equations. Finally, some numerical analyses in inviscid and
viscous flows are discussed. This article includes a reflection of an oblique shock and a viscous flow
over an airfoil.