A EVI-space-time Galerkin method for dynamics at finite deformation in porous media
A EVI-space-time Galerkin method for dynamics at finite deformation in porous media
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多孔介质有限变形动力学的EVI-时空伽辽金方法
DOI：
10.1007/s00466-008-0332-9
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发表时间：
2009
影响因子：
4.1
通讯作者：
S. Diebels
中科院分区：
文献类型：
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作者：
Zhiyun Chen;H. Steeb;S. Diebels
提出了一种用于饱和多孔介质动力分析的EVI-space-time-Galerkin方法。物理模型是基于一个物质不可压缩的固体骨架饱和的正压流体。固体基质的变形由可压缩Neo-Hookean材料定律描述。模型方程的固体骨架的拉格朗日描述制定。在数值模拟方面，采用嵌入式速度积分（EVI）技术，将二阶时变方程组转化为一阶方程组，并采用时间间断Galerkin方法求解。此外，引入了描述位移-速度关系的嵌入式积分格式的稳定性因子α。根据α因子的选择值，可以加强整体解的稳定性。数值实验表明，与传统的时间步进格式相比，所提出的方法在精度和低数值阻尼方面具有上级性能。
We present an EVI-space-time Galerkin method applied to dynamic analysis in fluid-saturated porous materials. The physical model is based on a materially incompressible solid skeleton saturated by a barotropic fluid. The deformation of the solid matrix is described by a compressible Neo-Hookean material law. The model equations are formulated in the Lagrangian description of the solid skeleton. In respect of the numerical modeling, by use of the Embedded Velocity Integration (EVI) technique, the governing set of second-order time-dependent equations is transformed to a first-order one, which is in turn solved by a time-discontinuous Galerkin method. In addition, a stability factor α, describing the embedded integration scheme of the displacement–velocity relation, is introduced. Depending on the chosen value of the α factor, the stability property of the overall solution can be enforced. Numerical experiments demonstrate the superior performance of the proposed method with respect to accuracy and low numerical damping in comparison with conventional time-stepping schemes.
统计学基础B
DOI：
--
发表时间：
2021
期刊：
影响因子：
--
作者：
樋口拓真;市川周一;Liu Yan
通讯作者：
Liu Yan