An efficient finite volume scheme with improved artificial viscosity suitable for transonic-flow calculations

摘要

The paper deals with a time-marching finite volume procedure to solve the Euler equations for steady compressible flow. Explicit schemes with central differences in space require artificial dissipation in order to obtain solutions with discontinuities. This paper presents and discusses a novel artificial viscosity model that includes artificial dissipation as a function of the spectral radius of the Jacobean matrices. The dissipation model comprises non-linear second and forth-derivative terms, which are introduced as a function of the local flow conditions. The switching between these terms is based upon limiter functions more typically used in the upwind formulations. Numerical results are presented concerning a test case for transonic flow.