| 二维非结构网格上的高阶间断有限元方法研究 |
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| 引用本文： | 王刚,叶正寅,许和勇.二维非结构网格上的高阶间断有限元方法研究[J].航空计算技术,2008,38(3):32-35. |
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| 作者姓名： | 王刚 叶正寅 许和勇 |
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| 作者单位： | 西北工业大学,翼型、叶栅空气动力学国防科技重点实验室,陕西,西安,710072 |
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| 摘 要： | 对二维非结构网格上的求解欧拉方程的高阶间断有限元方法进行了研究.运用间断有限元基本理论,采用多项式基函数对解进行近似描述,欧拉方程的数值通量项运用高斯积分公式和Roe格式求取,时间推进采用传统四步Runge-Kutta方法.运用发展的间断有限元方法对NACA0012翼型在亚跨音速情况下的无粘流动和圆柱的低速无粘流动进行了数值计算,结果表明:间断有限元方法具有良好的收敛特性、很小的数值耗散和很好的激波捕捉能力.
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| 关 键 词： | 非结构网格 间断有限元 欧拉方程 Roe格式 |
High Order Discontinuous Galerkin Method for Solving Euler Equations on Unstructured Grids |
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| WANG Gang,YE Zheng-yin,XU He-yong.High Order Discontinuous Galerkin Method for Solving Euler Equations on Unstructured Grids[J].Aeronautical Computer Technique,2008,38(3):32-35. |
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| Authors: | WANG Gang YE Zheng-yin XU He-yong |
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| Abstract: | The main purpose of this paper is to develop a discontinuous Galerkin method suitable for the numerical solution of the Euler equations on unstructured grids.Based on the theory of discontinuous Galerkin method,the approximate solution within each element is expanded in a series of local polynomials bases functions;the numerical flux of Euler equations are calculated by using the Gaussian quadrature rules and Roe scheme;and time is advanced by explicit fourth-order accurate Runge-Kutta method.The versatilit... |
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| Keywords: | unstructured grids discontinuous galerkin method euler equations roe scheme |
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