本文已被：浏览 1292次 下载 1142次
投稿时间：2009-06-22
投稿时间：2009-06-22
中文摘要: 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.
中文关键词: Euler方程 WENO格式 TVD Runge-Kutta法
Abstract: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.
keywords: Euler equation WENO schemes TVD Runge-Kutta method
文章编号：20100324 中图分类号： 文献标志码：
基金项目:上海市科委基金(071605123)
| 作者 | 单位 | |
| 徐丽 | 上海电力学院 数理系, 上海 200090 | xulimaths@163.com |
| Author Name | Affiliation | |
| XU Li | Dept.of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, China | xulimaths@163.com |
引用文本：
徐丽.利用5阶WENO格式求解一维Euler方程[J].上海电力大学学报,2010,26(3):308-310.
XU Li.Solving 1D Euler Equation Using Fifth Order WENO Schemes[J].Journal of Shanghai University of Electric Power,2010,26(3):308-310.
徐丽.利用5阶WENO格式求解一维Euler方程[J].上海电力大学学报,2010,26(3):308-310.
XU Li.Solving 1D Euler Equation Using Fifth Order WENO Schemes[J].Journal of Shanghai University of Electric Power,2010,26(3):308-310.