Mixed-element-volume MUSCL methods with weak viscosity for steady and unsteady flow calculations

One of the most desirable approximation property in compressible flow simul ation is the avoidance of superfluous numerical spurious diffusion. We prop ose to reach this goal on unstructured meshes by the application of sophist icated upwind finite volume schemes involving sixth-order viscosity. The re sult is a family of second-order accurate schemes which exhibits much less diffusion than usual upwind finite volumes when applied to steady and unste ady flow simulations. The new schemes allow to compute accurately a difficu lt application such as a vortex-acoustic coupling in a rocket chamber. (C) 1999 Elsevier Science Ltd. All rights reserved.