求解多维双曲守恒律方程组的四阶半离散格式  

Fourth-order Semi-discrete Scheme for Multidimensional Hyperbolic Systems of Conservation Laws

作　　者：蔡力[1] 封建湖[2] 谢文贤[1] 

机构地区：[1]西北工业大学,西安710072 [2]长安大学,西安7100642

出　　处：《应用力学学报》2005年第3期479-483,共5页Chinese Journal of Applied Mechanics

摘　　要：提出了求解多维双曲守恒律方程组的四阶半离散格式。该方法以中心加权基本无振荡(CWENO)重构为基础,同时考虑到在R iemann扇内波传播的局部速度,从而回避了计算过程中的网格交错,建立了数值耗散较小的介于迎风格式和中心格式之间的半离散格式。本文的四阶半离散格式是Kurganov等人的三阶半离散格式的高阶推广。大量的数值算例充分说明了本文方法的高分辨率和稳定性。Based on a central weighted essentially non-oscillatory (CWENO) reconstruction, a fourth-order semi-discrete scheme for multidimensional hyperbolic systems of conservation laws is presented. The local speed of wave propagation in the Riemann fans is considered to avoid staggering between two grids. This semi-discrete scheme is situated between upwind scheme and central scheme with a lower numerical dissipation. As an extension of third-order, semi-discrete method of Kurganov et al, the higher resolution and robustness of this scheme are demonstrated via several numerical examples.

关 键 词：中心加权基本无振荡格式 半离散格式 双曲守恒律 

分 类 号：O242[理学—计算数学] O354[理学—数学]