利用5阶WENO格式求解一维Euler方程  

Solving 1D Euler Equation Using Fifth Order WENO Schemes

作　　者：徐丽[1] 

机构地区：[1]上海电力学院数理系

出　　处：《上海电力学院学报》2010年第3期308-310,共3页Journal of Shanghai University of Electric Power

基　　金：上海市科委基金(071605123)

摘　　要：以一维Euler方程为研究对象,介绍了一高分辨率格式.对流项采用Roe通量差分分裂格式,使用5阶WENO格式进行左右状态重构,采用3阶TVD Runge-Kutta方法进行时间推进.结果表明,WENO-Roe具有较高的分辨激波和接触间断能力.The performance of one high-resolution scheme is investigated for one dimension Euler equation. Roe Riemann solver, a high-resolution scheme and a flux-difference splitting scheme is adopted to compute inviscid flux. Fifth-order WENO schemes are adopted to interpolate higher order left and right states across a cell interface. Third-order TVD Runge-Kutta method is used to advance the solution in time. The result reveals that WENO-Roe has the great capabilities to capture shock and contact discontinuities with high resolution.

关 键 词：EULER方程 WENO格式 TVD RUNGE-KUTTA法 

分 类 号：O241[理学—计算数学]