期刊
COMPUTATIONAL MECHANICS
卷 67, 期 2, 页码 413-434出版社
SPRINGER
DOI: 10.1007/s00466-020-01941-y
关键词
Mesh moving method; Linear-elasticity equations; Mesh-Jacobian-based stiffening; Cycle-to-cycle accumulated distortion; Back-cycle-based mesh moving; Half-cycle-based mesh moving
资金
- JST-CREST
- Japan Society for the Promotion of Science [18H04100]
- Rice-Waseda research agreement
- ARO [W911NF-17-1-0046]
- Top Global University Project of Waseda University
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior-Brasil (CAPES) [001]
- Grants-in-Aid for Scientific Research [18H04100] Funding Source: KAKEN
This article introduces two excellent moving mesh methods, ST and ALE, and discusses the recently introduced BCBMM and HCBMM methods in detail. Test computations with finite element meshes show that these methods perform well, avoiding cycle-to-cycle accumulated mesh distortion.
Good mesh moving methods are always part of what makes moving-mesh methods good in computation of flow problems with moving boundaries and interfaces, including fluid-structure interaction. Moving-mesh methods, such as the space-time (ST) and arbitrary Lagrangian-Eulerian (ALE) methods, enable mesh-resolution control near solid surfaces and thus high-resolution representation of the boundary layers. Mesh moving based on linear elasticity and mesh-Jacobian-based stiffening (MJBS) has been in use with the ST and ALE methods since 1992. In the MJBS, the objective is to stiffen the smaller elements, which are typically placed near solid surfaces, more than the larger ones, and this is accomplished by altering the way we account for the Jacobian of the transformation from the element domain to the physical domain. In computing the mesh motion between time levels t(n) with the linear-elasticity equations, the most common option is to compute the displacement from the configuration at t(n). While this option works well for most problems, because the method is pathdependent, it involves cycle-to-cycle accumulated mesh distortion. The back-cycle-based mesh moving (BCBMM) method, introduced recently with two versions, can remedy that. In the BCBMM, there is no cycle-to-cycle accumulated distortion. In this article, for the first time, we present mesh moving test computations with the BCBMM. We also introduce a version we call half-cycle-based mesh moving (HCBMM) method, and that is for computations where the boundary or interface motion in the second half of the cycle consists of just reversing the steps in the first half and we want the mesh to behave the same way. We present detailed 2D and 3D test computations with finite element meshes, using as the test case the mesh motion associated with wing pitching. The computations show that all versions of the BCBMM perform well, with no cycle-to-cycle accumulated distortion, and with the HCBMM, as the wing in the second half of the cycle just reverses its motion steps in the first half, the mesh behaves the same way.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据