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保持球对称的相容流体算法的构造

林雉伟 江少恩

林雉伟, 江少恩. 保持球对称的相容流体算法的构造[J]. 应用数学和力学, 2013, 34(5): 525-534.
引用本文: 林雉伟, 江少恩. 保持球对称的相容流体算法的构造[J]. 应用数学和力学, 2013, 34(5): 525-534.
LIN Zhi-wei, JIANG Shao-en. Construction of Compatible Hydrodynamics Algorithms With the Preservation of Spherical Symmetry[J]. Applied Mathematics and Mechanics, 2013, 34(5): 525-534.
Citation: LIN Zhi-wei, JIANG Shao-en. Construction of Compatible Hydrodynamics Algorithms With the Preservation of Spherical Symmetry[J]. Applied Mathematics and Mechanics, 2013, 34(5): 525-534.

保持球对称的相容流体算法的构造

基金项目: 中国工程物理研究院激光聚变研究中心创新基金资助项目(CX08201202)
详细信息
    作者简介:

    林雉伟(1981—),男,四川内江人,助理研究员,硕士(通讯作者.Tel:+86-816-2480717; E-mail: lzw454721@caep.ac.cn).

  • 中图分类号: O354;O242

Construction of Compatible Hydrodynamics Algorithms With the Preservation of Spherical Symmetry

  • 摘要: 重点研究如何在二维柱坐标系中保持流体运动的球对称问题.该问题需要对整个流体算法做细致的分析与设计,从而获得不同的方法.基于Caramana介绍的修正压强梯度算子构造了保持球对称的相容流体算法,该算法还包括了边人工粘性方法、子网格压力的计算方法,以及预估步与校正步相结合的策略.并且,考虑了总能量的守恒性,讨论了网格节点质量保持不变的必要性,以及基于相容格式证明了边人工粘性的耗散性.数值模拟结果与已知数据的比对验证了程序的正确性、稳定性.
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出版历程
  • 收稿日期:  2013-01-08
  • 修回日期:  2013-03-25
  • 刊出日期:  2013-05-15

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