基于平均逆映射的二阶通量分裂差分格式  

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

作　　者：刘珺[1] 郑华盛[1] 

机构地区：[1]南昌航空大学数学与信息科学学院,南昌330063

出　　处：《赣南师范学院学报》2012年第3期8-11,共4页Journal of Gannan Teachers' College(Social Science(2))

基　　金：江西省自然科学基金项目(20114BAB201001)

摘　　要：基于通量分裂方法及逆风特性,通过引入平均逆映射概念,选取数值通量导数,结合二阶Runge-KuttaTVD时间离散方法,构造了求解双曲型守恒律方程的一个二阶无振荡中心差分格式.最后,给出几个标准数值算例,验证了格式具有形式简单,计算量小及高分辨率等优点.Based on the flux splitting and upwind properties, numerical derivative of flux is taken by introducing averaged inverse mapping. A new second order accurate non-oscillatory central difference scheme for the one dimensional equations of hyperbolic conservation laws is obtained by using second order Runge-Kutta TVD time diseretization. Finally, several typical numerical examples are given to verify the advantages of simplify form, lower cost, high-resolution and non - oscillatory of this scheme.

关 键 词：双曲型守恒律 通量分裂 平均逆映射 Runge—Kutta TVD时间离散 差分格式 

分 类 号：O241.8[理学—计算数学]