摘要
通过对数值通量进行分裂、重构和修正,结合二阶Runge-Kutta TVD时间离散方法,构造了一类求解一维双曲型守恒律的时空二阶精度差分格式,并分别按分量方法和特征分解方法推广到一维守恒律方程组的情形.最后通过几个典型数值算例验证了格式的有效性.
Combined with second order Runge-Kutta TVD time discretization method,a new class of second order accurate scheme in space and time is obtained to solve the one dimensional hyperbolic conservation law by applying splitting,reconstruction and correction of the numerical fluxes.The extension to systems is carried out by using component-wise manner and characteristic decomposition manner respectively.Finally,some typical numerical experiments are given to verify the validity of the schemes.
出处
《南昌航空大学学报（自然科学版）》
CAS
2011年第4期36-40,共5页
Journal of Nanchang Hangkong University(Natural Sciences)
基金
江西省教育厅2008年度科技计划项目(GJJ08224)
关键词
双曲型守恒律
通量分裂
二阶精度
差分格式
hyperbolic conservation laws
flux splitting
second order accuracy
difference scheme
