Abstract:

A new finite volume scheme, based on the first order monotone scheme and limited linear reconstruction, is constructed for unstructured mesh in two dimensions, which satisfies the maximum principle and approximates the flux with second order accuracy for scalar hyperbolic conservation laws. Numerical results for plate shock wave reflection and Mach 4.0 flow overa circular cylinder are presented.

Key words: unstr uct ur ed m esh, finite v olume method, T VD scheme, cav ity flow