Gaseous Detonation Higher Order Central Difference-weno Scheme Combined Format Adaptive Grid Method

In this thesis, a high order hybrid Central-WENO AMR method is presented for the numerical simulation of two- and three-dimensinal gaseous detonation structures.The hybrid Central-WENO finite difference scheme composes the two schemes effectively where high gradients regions are computed with WENO scheme in order to capture the discontinuities while smooth regions are computed with more efficient and accurate central finite difference scheme. The thesis focuses on the composition mode, and chooses optimal transition function and parameters through numerical test cases. The adaptive mesh refinement grid is based on flow field structure.In order to test the performance of the method, including accuracy, resolution and efficiency, one- and two-dimensional shock-dynamic examples are calculated. The results have proved that the hybrid scheme with AMR method has good property of high-order, high-resolution, and high-efficiency.The hybrid method has been used in the numerical simulation of two- and three-dimensinal unsteady gaseous detonation. The numerical results have shown correctly and clearly the complex wave structures and dynamic physical processes. The method has good prospects for application in gaseous detonation.