An investigation of artificial dissipation for the cell‐vertex finite volume method

Abstract

SUMMARYThis paper is concerned with an investigation of artificial dissipation models that are used with the cell-vertex finite volume approximation of the compressible Euler and Navier-Stokes equations. Based on the observation that first and second-order upwind schemes can be written as a central discretization plus an appropriately scaled dissipative flux, a matrix scaling of second and fourth-differences is implemented in an artificial dissipation model that also uses a procedure to limit the applicability of shock-capturing dissipation. Analysis of the model and the associated boundary conditions is given to determine the effect on accuracy. Numerical results are given for transonic Euler flow past a NACA0012 aerofoil profile which demonstrate the improved shock-capturing capability of the model. Results for laminar subsonic viscous flow over a flat plate show that the matrix-dissipation model reduces the amount of spurious artificial dissipation within boundary layers.