Numerical simulation of solid deformation driven by creeping flow using an immersed finite element method

详细信息    查看全文

• 作者：Thomas Rüberg ; José Manuel Garcí Aznar
• 关键词：Immersed finite elements ; Fluid–solid interaction ; Updated Lagrangian method ; Computational mechanobiology ; Nitsche’s method
• 刊名：Advanced Modeling and Simulation in Engineering Sciences
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：3
• 期：1
• 全文大小：2,391 KB
• 刊物类别：Theoretical and Applied Mechanics; Computational Science and Engineering; Classical Continuum Physic
• 刊物主题：Theoretical and Applied Mechanics; Computational Science and Engineering; Classical Continuum Physics;
• 出版者：Springer International Publishing
• ISSN：2213-7467

文摘

An immersed finite element method for solid–fluid interaction is presented with application focus on highly deformable elastic bodies in a Stokes flow environment. The method is based on a global balance equation which combines the solid and fluid momentum balances, the fluid mass balance and, in weak form, the interface conditions. By means of an Updated Lagrangian description for finite elasticity, only one analysis mesh is used, where the solid particles are backtracked in order to preserve the deformation history. The method results in a full coupling of the solid-fluid system which is solved by an exact Newton method. The location of the material interface is captured by a signed distance function and updated according to the computed displacement increments and the help of an explicit surface parameterisation; no body-fitted volume meshes are needed. Special emphasis is placed on the accurate integration of finite elements traversed by the interface and the related numerical stability of the shape function basis. A number of applications for compressible Neo-Hookean solids subject to creeping flow are presented, motivated by microfluidic experimentation in mechanobiology.