二维交错网格高分辨格式的并行实现  

Parallel Implementation of High Resolution Schemes With Staggered Grids in Two Dimensions

作　　者：刘大利[1] 陈磊[2] 桂冰[2] 

机构地区：[1]湖北国土资源职业学院,湖北荆州434000 [2]南京林业大学信息科学技术学院,江苏南京210037

出　　处：《南京林业大学学报（自然科学版）》2006年第5期71-75,共5页Journal of Nanjing Forestry University：Natural Sciences Edition

基　　金：国家自然科学基金资助项目(10301014)

摘　　要：分析了在交错网格的情况下的高分辨差分格式,由于这类差分格式不需要解Riemann问题,因此可用于求解弱双曲守恒律方程组初值问题,其具有计算简单、工作量少、编程简便等特点。利用大规模并行机,在MPI的环境下对求解Euler方程和浅水方程的高分辨差分格式进行了并行实现,其并行效果较好。A class of Riemann solver-free high resolution schemes with staggered grids for the computation of solutions of systems of hyperbolic conservation laws in two dimensions are presented. Because of Riemann solver-free, no complete set of eigenvectors is needed and hence weakly hyperbolic systems can be solved with much simpler programming. The numerical results obtained under environment of MPI for parallel computation of these schemes for Euler equation and shallow water equation are satisfied.

关 键 词：交错网格 并行计算 差分格式 守恒律 

分 类 号：O241[理学—计算数学] O35[理学—数学]