Abstract
The new technique on a finite difference weighted essentially nonoscillatory scheme (WENO) to satisfy the geometric conservation law on arbitrary grid system is introduced. The new technique firstly divide the finite difference WENO into two parts: 1)a consistent central difference part and 2)a numerical dissipation part. For 1)the consistent central difference part, the conservative metric technique is straightforwardly adapted. For 2)a numerical dissipation part, it is newly proposed that the metric term is frozen for constructing the upwinding flux. This treatment only affects the numerical dissipation part, and the order of accuracy is interestingly maintained. With this technique, the freestream is preserved perfectly, and also the resolution of vortex is much improved on wavy and random grid.
