Accuracy assessment of solving pseudo compressible euler equations for steady subsonic flow on finite unstructured volumes

Abstract

The inviscid incompressible Euler equations are applied to a wide range of engineering applications. For steady state problems, the equation of continuity can be simultaneously solved with the equations of motion in a coupled manner using the pseudo compressibility method. This method helps couple the pressure and the velocity fields during the explicit computation procedure, and therefore speeds the convergence of the method. The discrete form of the two-dimensional flow equations are formulated using the Cell Vertex Finite Volume Method for triangular unstructured meshes. Using triangular unstructured meshes provides great flexibility for modelling flow in geometrically complex domains. Some numerical methods adopted for unstructured meshes stabilize and accelerate the explicit solution procedure without degrading the accuracy. In order to verify the accuracy of the numerical scheme, computed results are compared with the exact solution for two potential flow problems.