气相爆轰高阶中心差分-WENO组合格式自适应网格方法

High Order Hybrid Central-WENO AMR Method for Gaseous Detonation

研究一种高阶中心差分-WENO组合格式,并采用自适应网格方法进行二维和三维气相爆轰波的数值模拟.采用ZND爆轰模型的控制方程为包含化学反应源项的Euler方程组.组合格式在大梯度区采用WENO格式捕捉间断,在光滑区采用高阶中心差分格式提高计算效率.采用一种基于流场结构特征的自适应网格.计算结果,表明这种方法同时具有高精度、高分辨率和高效率的特点.

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.