Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems

C. Dapogny; C. Dobrzynski; P. Frey

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Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems

机译：三维自适应域重新网格化，隐式域网格划分以及在自由边界和移动边界问题中的应用

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The aim of this paper is to propose a method for dealing with the problem of mesh deformation (or mesh evolution) in the context of free and moving boundary problems, in three space dimensions. The method consists in combining two different numerical parameterizations of domains: on the one hand, domains are equipped with a computational tetrahedral mesh, and on the other hand, they are represented as the negative subdomains of 'level set' functions. We then consistently switch from one description to the other, depending on their respective convenience with respect to the

机译：本文的目的是提出一种在自由和运动边界问题的情况下在三个空间维度上处理网格变形（或网格演化）问题的方法。该方法包括组合两个不同的域数值参数化：一方面，域配备有计算四面体网格，另一方面，它们表示为“水平集”函数的负子域。然后，我们会根据一个人对一个人的方便，始终如一地从一个描述切换到另一个描述。

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来源
《Journal of Computational Physics》 |2014年第null期|共21页
作者
C. Dapogny; C. Dobrzynski; P. Frey;
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正文语种 eng
中图分类数学物理方法;
关键词
Remeshing; Level set method; Mesh evolution; Shape optimization; Bifluid flows;

机译：网格划分;水平集方法;网格演化;形状优化;双流体流;

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1. Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems [J] . C. Dapogny, C. Dobrzynski, P. Frey Journal of Computational Physics . 2014,第Null期

机译：三维自适应域重新网格化，隐式域网格划分以及在自由边界和移动边界问题中的应用
2. A Robust And Efficient Hybrid Cut-cell/ghost-cell Method With Adaptive Mesh Refinement For Moving Boundaries On Irregular Domains [J] . Hua Ji, Fue-Sang Lien, Eugene Yee Computer Methods in Applied Mechanics and Engineering . 2008,第3a4期

机译：具有不规则域上的移动边界的鲁棒高效的带有自适应网格细化功能的混合剪切/幻像细胞方法
3. Delaunay meshing of implicit domains with boundary edge sharpening and sliver elimination [J] . Belokrys-Fedotov A. I., Garanzha V. A., Kudryavtseva L. N. Mathematics and computers in simulation . 2018,第may期

机译：隐含区域的Delaunay网格划分以及边界边缘锐化和消除条子
4. High-order Discontinuous Galerkin Simulations on Moving Domains using an ALE Formulation and Local Remeshing with Projections [C] . Luming Wang, Per-Olof Persson AIAA SciTech forum;AIAA Aerospace Sciences Meeting . 2015

机译：使用ALE公式和带投影的局部网格划分在运动域上的高阶不连续Galerkin模拟
5. A Collection of Fast Algorithms for Scalar and Vector-Valued Data on Irregular Domains: Spherical Harmonic Analysis, Divergence-Free/Curl-Free Radial Basis Functions, and Implicit Surface Reconstruction [D] . Drake, Kathryn Primrose. 2020

机译：关于不规则结构域上的标量和矢量值数据的快速算法的集合：球面谐波分析，无差异/无卷曲的径向基函数，隐含表面重建
6. A framework for discrete stochastic simulation on 3D moving boundary domains [O] . Brian Drawert, Stefan Hellander, Michael Trogdon, -1

机译：3D移动边界域上的离散随机仿真框架
7. Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems [O] . Dapogny, Charles, Dobrzynski, Cecile, Frey, Pascal 2014

机译：三维自适应域重新网格化，隐式域网格划分以及在自由边界和移动边界问题中的应用

Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems

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