期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 336, 期 -, 页码 492-512出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2017.02.030
关键词
Level set; Hamilton Jacobi; Eulerian; Adaptive mesh refinement (AMR); Advection; Point-centered; Finite difference; Tetrahedral meshes; 3D
资金
- NNSA through the Laboratory Directed Research and Development (LDRD) program at Los Alamos National Laboratory
- U.S. Department of Energy NNSA [DE-AC52-06NA25396]
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. (C) 2017 The Author(s). Published by Elsevier Inc.
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