3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement

JOURNAL OF COMPUTATIONAL PHYSICS

卷:336

Article

Morgan, Nathaniel R.¹  Waltz, Jacob I.¹ 

[1] Los Alamos Natl Lab, X Computat Phys Div, POB 1663, Los Alamos, NM 87544 USA

关键词: Level set;    Hamilton Jacobi;    Eulerian;    Adaptive mesh refinement (AMR);    Advection;    Point-centered;    Finite difference;    Tetrahedral meshes;    3D;   

DOI  :  10.1016/j.jcp.2017.02.030

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free