A NONOSCILLATORY NO-FREE-PARAMETER FINITE-ELEMENT ALGORITHM AND ITS APPLICATIONS IN CFD

A non-oscillatory no-free-parameter finite element method (NNFEM) is p resented based on the consideration of wave propagation characteristic in different characteristic directions across a strong discontinuity through flux vector splitting in order to satisfy the increasing entro py condition. The algorithm is analysed in detail for the one-dimensio nal (1D) Euler equation and then extended to the 2D, axisymmetric and 3D Euler and Navier-Stokes equations. Its applications in various case s-inviscid oblique shock wave reflection, flow over a forward step, ax isymmetric free jet flow, supersonic flows over 2D and 3D rectangular cavities-are given. These computational results show that the present NNFEM is efficient in practice and stable in operations and is especia lly capable of giving good resolution in simulating complicated separa ted and vortical flows interacting with shock waves.