一类基于通量分裂的二阶精度TVD差分格式  

A CLASS OF SECOND ORDER ACCURATE TVD DIFFERENCE SCHEMES BASED ON FLUX SPLITTING

作　　者：郑华盛[1] 丁荣华[2] 

机构地区：[1]南昌航空工业学院信息与计算科学系,江西南昌330034 [2]南昌大学理学院,江西南昌330047

出　　处：《南昌大学学报（理科版）》2005年第2期119-121,125,共4页Journal of Nanchang University(Natural Science)

摘　　要：基于通量分裂和逆风特性,选取单元交界面上的正、负数值通量,并结合高阶Runge-KuttaTVD时间离散方法,构造了一维非线性双曲型守恒律的一类二阶精度的差分格式,证明了差分格式的TVD特性。按分量形式推广到方程组。通过几个典型的数值算例验证了格式的有效性。Based on flux splitting and upwind property,a new kind of second order accurate difference scheme is obtained for 1D nonlinear hyperbolic conservation laws by computing the positive and negative numerical fluxes at the cell boundaries and applying high order Runge-Kutta TVD time discretization. And then,the TVD property of the scheme is proved.Furthermore,the extension to systems is straightforward by using component-wise manner.Finally,some typical numerical experiments are given.The numerical results verify the validation of the schemes.

关 键 词：双曲型守恒律 TVD差分格式 通量分裂 二阶精度 EULER方程 

分 类 号：O241.8[理学—计算数学] O35[理学—数学]