| 高分辨率格式在非定常无粘可压缩流动中的应用研究 |
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| 引用本文： | 徐丽,杨爱明,关鹏,翁培奋.高分辨率格式在非定常无粘可压缩流动中的应用研究[J].空气动力学学报,2009,27(5). |
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| 作者姓名： | 徐丽 杨爱明 关鹏 翁培奋 |
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| 作者单位： | 1. 上海大学,上海市应用数学和力学研究所,上海,200072;上海电力学院,数理系,上海,200090
2. 上海大学,上海市应用数学和力学研究所,上海,200072 |
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| 基金项目： | 上海市重点学科建设项目(Y0103) |
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| 摘 要： | 本文发展了一种计算非定常无粘可压缩流动的高分辨率格式。通量计算采用AUSMPW+Rie-mann求解器,其中使用了基于单调性的压力加权函数f,并与Roe Riemann求解器进行比较。为提高精度,使用五阶WENO格式进行左右状态插值,且时间推进采用三阶TVD Runge-Kutta方法。用该方法对移动接触间断问题、Sod激波管问题、二维激波反射问题和双马赫反射问题进行了数值计算,数值结果表明基于五阶WENO插值的AUSMPW+格式有很高的激波及接触间断分辨能力,并比基于五阶WENO插值的Roe格式有更高的计算效率。
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| 关 键 词： | AUSMPW+格式 Roe格式 WENO格式 TVDRunge-Kutta方法 高分辨率 |
Numerical experiments using one high-resolution scheme for unsteady inviscid compressible flows |
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| XU Li,YANG Ai-ming,GUAN Peng,WENG Pei-fen.Numerical experiments using one high-resolution scheme for unsteady inviscid compressible flows[J].Acta Aerodynamica Sinica,2009,27(5). |
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| Authors: | XU Li YANG Ai-ming GUAN Peng WENG Pei-fen |
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| Institution: | 1.Shanghai Institute of Applied Mathematics and Mechanics;Shanghai University;Shanghai;200072;China;2.Dept.of Mathematics and Physics;Shanghai University of Electronic Power;200090;China |
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| Abstract: | One high-resolution scheme is developed to compute unsteady,inviscid,compressible flows.In this paper,we are concerned about AUSMPW+ Riemann solver with the weighting function f based on pressure by considering monotonicity and compare it with Roe Riemann solver.For better accuracy,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 performance of the schemes has been ass... |
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| Keywords: | AUSMPW+ scheme Roe scheme WENO schemes TVD Runge-Kutta method high-resolution |
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