一类时空二阶精度高分辨率MmB差分格式的构造及数值试验  

A CLASS OF HIGH RESOLUTION SECOND ORDER MmB DIFFERENCE SCHEMES

作　　者：郑华盛[1] 赵宁[2] 戴嘉尊[2] 

机构地区：[1]南昌航空工业学院 [2]南京航空航天大学

出　　处：《计算数学》1998年第2期137-146,共10页Mathematica Numerica Sinica

基　　金：江苏省自然科学基金

摘　　要：In this paper, a new Riemann-solver-free class of difference schemes are const ructed to 2-D scalar nonlinear hyperbolic conservation laws. We proved thatthese schemes had second order accurate in space and time, and satisfied MmB properties under the appropriate CFL limitation. Moreover, these schemes hadbeen extended to systems of 2-D conservation laws. Finally, several numericalexperients show that the performance of these schemes are quite satisfactory.In this paper, a new Riemann-solver-free class of difference schemes are const ructed to 2-D scalar nonlinear hyperbolic conservation laws. We proved thatthese schemes had second order accurate in space and time, and satisfied MmB properties under the appropriate CFL limitation. Moreover, these schemes hadbeen extended to systems of 2-D conservation laws. Finally, several numericalexperients show that the performance of these schemes are quite satisfactory.

关 键 词：双曲型方程 精度 MMB差分格式 差分格式 

分 类 号：O241.82[理学—计算数学]