一维磁流体力学方程的三阶非交错中心格式  

A Third-Order Central Scheme with Non-staggered Grids for One-Dimensional Magneto-Hydrodynamics Equations

作　　者：陶詹晶[1,2] 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 [2]厦门大学数学科学学院,福建厦门361005

出　　处：《西南师范大学学报（自然科学版）》2013年第1期31-36,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：江西省自然科学基金项目(20114BAB201001);江西省教育厅科技项目(GJJ12431)资助

摘　　要：基于交错网格上的三阶无振荡重构和将交错网格单元平均值转化为非交错网格单元平均值,构造了一维理想磁流体力学方程的一类三阶非交错无振荡中心差分格式.给出两个典型的数值算例,验证了格式具有高分辨率和无振荡特性等优点.Based on third-order accurate non-oscillatory reconstructions on staggered grids and converting staggered grids cell averaged-value into non-staggered grids cell averaged-value, a third-order accurate non- oscillatory central difference schemes with non-staggered grids for the one-dimensional ideal magneto-hy- drodynamics equations has been obtained. Two typical numerical examples have been given to verify the advantages of high-resolution and non-oscillatory and robustness of this scheme.

关 键 词：磁流体力学方程 三阶精度 非交错网格 单元平均值 中心差分格式 

分 类 号：O241.82[理学—计算数学] V211.3[理学—数学]