A CONSERVATIVE SHOCK FITTING METHOD ON UNSTRUCTURED GRIDS

A dynamic discontinuity tracking method to achieve shock fitting is pr esented. The method is based on the properties of Roe's scheme which b ecomes an exact Riemann solver when grid lines are aligned with the di scontinuity. To make full use of this property, a technique that moves and adapts the grid in order to align and position element interfaces on the discontinuities is proposed. This algorithm is implemented wit h a conventional two-dimensional finite volume solver on unstructured triangular meshes. The method's ability to retrieve the exact solution is investigated on simple problems having analytical solutions. (C) 1 996 Academic Press, Inc.