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An efficient level set method for tracking many materials

delete2026-02-04
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PRE
AI
T
Tariq D. Aslam
E
Eduardo Lozano
DOI:10.1016/j.jcp.2026.114757delete
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Abstract

Abstract

En 中文
Here, we present an efficient level set method to track an arbitrary number of materials. The algorithm is optimal in the sense that it only needs to store a single unsigned distance-like function and a single integer indicator function, independent of the number of materials or distinct regions being tracked. For smooth velocity fields and smooth interface shape, arbitrarily high order solutions can be demonstrated. For interfaces that are or become kinked, the solution is limited to second-order convergence rates in the L1 norm and first-order in the L∞ norm.
Keywords:
level set method
material tracking
efficient algorithm
interface tracking
numerical convergence

Journal

Journal of Computational Physics cover
Journal of Computational Physics
IF:
3.8
Papers:
1.6W
Citations:
7.4W

Organization

L
Los Alamos National Laboratory
Scholars:
9.6K
Papers: 6.7K
Citations: 1.9W
Cited Papers

Cited Papers

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errSaye, R. I.; Sethian, J. A.
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