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饱和多孔弹性杆流固耦合动力响应的保结构算法

刘雪梅 邓子辰 胡伟鹏

刘雪梅, 邓子辰, 胡伟鹏. 饱和多孔弹性杆流固耦合动力响应的保结构算法[J]. 应用数学和力学, 2016, 37(10): 1050-1059. doi: 10.21656/1000-0887.370106
引用本文: 刘雪梅, 邓子辰, 胡伟鹏. 饱和多孔弹性杆流固耦合动力响应的保结构算法[J]. 应用数学和力学, 2016, 37(10): 1050-1059. doi: 10.21656/1000-0887.370106
LIU Xue-mei, DENG Zi-chen, HU Wei-peng. Structure-Preserving Algorithm for Fluid-Solid Coupling Dynamic Responses of Saturated Poroelastic Rods[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1050-1059. doi: 10.21656/1000-0887.370106
Citation: LIU Xue-mei, DENG Zi-chen, HU Wei-peng. Structure-Preserving Algorithm for Fluid-Solid Coupling Dynamic Responses of Saturated Poroelastic Rods[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1050-1059. doi: 10.21656/1000-0887.370106

饱和多孔弹性杆流固耦合动力响应的保结构算法

doi: 10.21656/1000-0887.370106
基金项目: 国家自然科学基金(11372252;11372253);中央高校基金(2014G1121096)
详细信息
    作者简介:

    刘雪梅(1980—),女,讲师,硕士(通讯作者. E-mail: liuxuemei@chd.edu.cn);邓子辰(1964—),男,教授,博士生导师(E-mail: dweifan@nwpu.edu.cn).

  • 中图分类号: O343

Structure-Preserving Algorithm for Fluid-Solid Coupling Dynamic Responses of Saturated Poroelastic Rods

Funds: The National Natural Science Foundation of China(11372252;11372253)
  • 摘要: 研究了不可压饱和多孔弹性杆的流固耦合动力响应问题.基于多孔介质理论,根据多孔介质流固混合物动量方程、孔隙流体动量方程及体积分数方程,建立流固耦合不可压饱和多孔弹性杆的轴向振动方程;引入正则变量,构造饱和多孔弹性杆轴向振动方程的广义多辛保结构形式、广义多辛守恒律及广义多辛局部动量误差;采用中点Box离散方法得到轴向振动方程的广义多辛离散格式、广义多辛守恒律数值误差及局部动量数值误差;数值模拟不可压饱和多孔弹性杆的轴向振动过程及流相渗流速度分布,考察了流固两相耦合系数对轴向振动过程及广义多辛守恒律误差和局部动量误差的影响.结果表明,已构造的广义多辛保结构算法具有很高的精确性和长时间的数值稳定性.
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出版历程
  • 收稿日期:  2016-04-08
  • 修回日期:  2016-05-07
  • 刊出日期:  2016-10-15

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