3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement
3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement
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DOI：
10.1016/j.jcp.2017.02.030
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发表时间：
2017-05
期刊：
影响因子：
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通讯作者：
N. Morgan;J. Waltz
中科院分区：
文献类型：
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作者：
N. Morgan;J. Waltz
水平集方法通常用于模拟动态演化的前沿和界面。在这项工作中，我们提出了新的方法来发展前与指定的速度场或在表面法线方向上的三维非结构化四面体网格与自适应网格细化（AMR）。水平集场位于四面体单元的节点处，并使用新的迎风离散化的Hamilton-Jacobi方程结合龙格-库塔法进行时间积分。水平集场被周期性地重新初始化为符号距离函数，使用具有新的逆风梯度的迭代方法。这些水平集和重新初始化方法的细节进行了讨论。从一系列的数值试验问题的结果。
The level set method is commonly used to model dynamically evolving fronts and interfaces. In this work, we present new methods for evolving fronts with a specified velocity field or in the surface normal direction on 3D unstructured tetrahedral meshes with adaptive mesh refinement (AMR). The level set field is located at the nodes of the tetrahedral cells and is evolved using new upwind discretizations of Hamilton–Jacobi equations combined with a Runge–Kutta method for temporal integration. The level set field is periodically reinitialized to a signed distance function using an iterative approach with a new upwind gradient. The details of these level set and reinitialization methods are discussed. Results from a range of numerical test problems are presented.