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

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. We discuss the details of these level set and reinitialization methods. Results from a range of numerical test problems are presented.
Authors:
 [1] ;  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-15-28711
Journal ID: ISSN 0021-9991; TRN: US1700656
Grant/Contract Number:
AC52-06NA25396
Type:
Published Article
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 336; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Laboratory Directed Research and Development (LDRD) Program
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Numerical methods
OSTI Identifier:
1345425
Alternate Identifier(s):
OSTI ID: 1345928