Numerical experiments of the spectral volume method for viscous flows

摘要

In this paper, the spectral volume (SV) method is experimented for the Navier-Stokes equations by treating the viscous terms with a mixed formulation named the local Discontinuous Galerkin approach. The formulation of the SV method for the two-dimensional compressible Navier-Stokes equations is described. The solver is used to solve several viscous flow problems to show its potential.