Lagrange's equations for seepage flow in porous media with a mixed Lagrangian-Eulerian description
文献类型：期刊论文
| 作者 | Wang, LiXiang2 ; Li, ShiHai1,2; Feng C(冯春)1,2
|
| 刊名 | ACTA MECHANICA SINICA
 |
| 出版日期 | 2023-11-01 |
| 卷号 | 39期号:11页码:18 |
| ISSN号 | 0567-7718 |
| 关键词 | Lagrange's equations Lagrangian-Eulerian model Seepage flow in porous media Cell-centered finite volume method Seepage front |
| DOI | 10.1007/s10409-023-23022-x |
| 通讯作者 | Li, Shi-Hai(shli@imech.ac.cn) ; Feng, Chun(fengchun@imech.ac.cn) |
| 英文摘要 | Most conventional numerical models employ partial differential equations (PDEs) to describe seepage flow problems and use weighted residual and finite difference solution techniques to solve the PDEs. These PDEs are established in view of a spatial point, which mathematically stems from the infinitesimal concept. An alternative approach to such problems is developed. It applies an energy approach, i.e., the Lagrange's equations, to the representation of the seepage flow system, instead of directly resorting to the PDEs. The Lagrange's functional is established on a representative volume element (RVE) by integrating the energy of the RVE. Following a Lagrange formulation, the variation of the functional is conducted with regard to appropriate generalized coordinates. Then the resulting integral equations are considered with the description from the Lagrangian frame into the Eulerian frame for an improved accuracy. Afterwards, the equations are numerically discretized with a cell-centered finite volume method. Finally, two seepage front estimation schemes are presented-one scheme is implemented by local mesh refinement and the other scheme by seepage front movement. The resulting model is a true energy formulation, developed without reference to the partial differential momentum equations. Numerical examples are demonstrated and show that the model generates physically sound results. |
| 分类号 | 二类 |
| WOS关键词 | DISCRETE HAMILTONS EQUATIONS ; NUMERICAL MANIFOLD METHOD ; FINITE-ELEMENT-METHOD ; FLUID-FLOW ; DEFORMATION ; DYNAMICS ; MODEL |
| 资助项目 | National Natural Science Foundation of China[12102059] ; National Key Research and Development Program of China[2018YFC1505504] |
| WOS研究方向 | Engineering ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:001066634500001 |
| 资助机构 | National Natural Science Foundation of China ; National Key Research and Development Program of China |
| 其他责任者 | Li, Shi-Hai ; Feng, Chun |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/92999]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Key Lab Mech Fluid Solid Coupling Syst, Inst Mech, Beijing 100190, Peoples R China; |
| 推荐引用方式 GB/T 7714 | Wang, LiXiang,Li, ShiHai,Feng C. Lagrange's equations for seepage flow in porous media with a mixed Lagrangian-Eulerian description[J]. ACTA MECHANICA SINICA,2023,39(11):18. |
| APA | Wang, LiXiang,Li, ShiHai,&冯春.(2023).Lagrange's equations for seepage flow in porous media with a mixed Lagrangian-Eulerian description.ACTA MECHANICA SINICA,39(11),18. |
| MLA | Wang, LiXiang,et al."Lagrange's equations for seepage flow in porous media with a mixed Lagrangian-Eulerian description".ACTA MECHANICA SINICA 39.11(2023):18. |
入库方式： OAI收割
来源：力学研究所
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