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

作　　者：胡结梅[1] 郑华盛[1] 刘珺[1] 

机构地区：[1]南昌航空大学,江西南昌330063

出　　处：《南昌航空大学学报（自然科学版）》2013年第2期58-62,共5页Journal of Nanchang Hangkong University(Natural Sciences)

基　　金：江西省自然科学基金(20114BAB201001);江西省教育厅科技项目(GJJ12431)

摘　　要：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.

关 键 词：双曲型守恒律 通量分裂 平均逆映射 差分格式 

分 类 号：O241.8[理学—计算数学]