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基于简单WENO-间断Galerkin的Euler方程自适应计算

吴泽艳 王立峰 武哲

吴泽艳, 王立峰, 武哲等 . 基于简单WENO-间断Galerkin的Euler方程自适应计算[J]. 北京航空航天大学学报, 2016, 42(4): 806-814. doi: 10.13700/j.bh.1001-5965.2015.0237
引用本文: 吴泽艳, 王立峰, 武哲等 . 基于简单WENO-间断Galerkin的Euler方程自适应计算[J]. 北京航空航天大学学报, 2016, 42(4): 806-814. doi: 10.13700/j.bh.1001-5965.2015.0237
WU Zeyan, WANG Lifeng, WU Zheet al. Adaptive simple WENO limiter-discontinuous Galerkin method for Euler equations[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(4): 806-814. doi: 10.13700/j.bh.1001-5965.2015.0237(in Chinese)
Citation: WU Zeyan, WANG Lifeng, WU Zheet al. Adaptive simple WENO limiter-discontinuous Galerkin method for Euler equations[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(4): 806-814. doi: 10.13700/j.bh.1001-5965.2015.0237(in Chinese)

基于简单WENO-间断Galerkin的Euler方程自适应计算

doi: 10.13700/j.bh.1001-5965.2015.0237
基金项目: 三峡大学人才科研启动基金(KJ2014B031)
详细信息
    作者简介:

    吴泽艳 男,博士,讲师。主要研究方向:计算流体力学。 E-mail: wuzeyan2000@163.com;王立峰 男,博士,副教授。主要研究方向:飞行器设计、数值模拟。 Tel.: 010-82339560 E-mail: wanglifeng@ase.buaa.edu.cn;武哲 男,博士,教授,博士生导师。主要研究方向:飞行器设计、数值模拟。

    通讯作者:

    王立峰, Tel.: 010-82339560 E-mail: wanglifeng@ase.buaa.edu.cn

  • 中图分类号: O242

Adaptive simple WENO limiter-discontinuous Galerkin method for Euler equations

Funds: Talents Scientific Research Starting Foundation of China Three Gorges University (KJ2014B031)
  • 摘要: 为了得到Euler方程的高精度、高分辨率数值解,介绍了间断Galerkin方法、三角形单元上简单WENO限制器的基本原理以及基于自适应网格加密的激波捕捉方法。将简单WENO限制器-间断Galerkin方法应用到曲边四边形单元上,通过单元边界上高斯积分点的坐标来搜索相邻单元从而得到相邻单元的单元编号,实现了基于“问题单元”的局部网格加密自适应计算。对若干典型问题进行编程计算,结果表明,简单WENO限制器可以应用到曲边四边形单元上,且可适用于局部网格加密时具有“悬挂节点”的非结构网格上的激波捕捉。

     

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出版历程
  • 收稿日期:  2015-04-18
  • 修回日期:  2016-07-17
  • 刊出日期:  2016-04-20

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