基于平均逆映射的三阶通量分裂差分格式

Third Order Accurate Difference Scheme of Flux Splitting Based on Averaged Inverse Mapping

基于通量分裂、逆风特性及平均逆映射方法,选取数值通量导数,利用三阶Runge-Kutta TVD时间离散方法,构造得到求解双曲型守恒律方程的一个三阶精度通量分裂差分格式.最后,给出了几个标准数值算例,以验证格式具有形式简单及高分辨率等特性.

Based on the flux splitting and upwind properties , numerical derivative of flux is proposed by introducing averaged inverse mapping. A new third order accurate non - oscillatory flux splitting difference scheme for the one dimensional equation of hyperbolic conservation laws is obtained by using the third order Runge - Kutta TVD time discretization. Finally, several typical numerical exam- pies are given to verify the simplify form and high - resolution of the scheme.