Abstract: A high order hybrid central-WENO finite difference scheme with adaptive mesh refinement (AMR) for numerical simulation of gaseous detonations is presented. Governing equations are two-and three-dimensional reactive Euler equations in a ZND detonation model. The hybrid scheme combines high order central finite difference schemes and WENO schemes effectively. In high gradient regions, WENO schemes are empolyed to capture discontinuity, while in smooth regions a more efficient and accurate central finite difference scheme is adopted. The AMR grid is based on flow field structure. Numerical results show that a hybrid scheme with AMR method has characteristics of high-order, high-resolution, and high-efficiency.

Key words: high order finite difference scheme, hybrid scheme, adaptive mesh refinement, gaseous detonation