Finite Element Method with Novel Mesh Regeneration Algorithm for Investigating the Multi-Body Motion Problems
Date Issued
2011
Date
2011
Author(s)
Chen, Chuang-Hsien
Abstract
The finite element method with arbitrary Lagrangian-Eulerian scheme (ALE) and a novel mesh regeneration algorithm is applied to solve the moving boundary problem in the present study.
An operator-splitting scheme is introduced to decompose the equations of Navier-Stokes with regard to both velocity and pressure variables. Based on a Galerkin weak statement, the finite element discrete integral form for spatial discretization can be obtained in which triangular and tetrahedral bases will be chosen to deal with 2D and 3D problems. Furthermore, the mixed explicit-implicit stiffly stable scheme with second order truncation error is introduced on the time discretization. In addition, both convection and diffusion terms are solved separately with the explicit and implicit scheme to enhance the stability and accuracy.
According to the Lagrangian method, the convective term under the simulation of moving boundary problem will be redefined with balance tensor diffusivity. Lastly, present integrated numerical model is combined with a novel mesh regeneration algorithm for applying to the multi-body interaction problem. As expected, we obtain the good feasibility of the present integrated numerical model via a series of validations by referring to numerical and experimental literatures.
Subjects
finite element method
arbitrary Lagrangian-Eulerian
mesh regeneration algorithm
moving boundary problem
Type
thesis
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