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DOE OSTI · 3017801

An efficient level set method for tracking many materials

Aslam, Tariq Dennis [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000242630401)·Lozano, Eduardo Jose [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000179840720)
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Abstract

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. Furthermore, 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 L 1 norm and first-order in the L ∞ norm.

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97 MATHEMATICS AND COMPUTINGLevel set methodsTime reversal flowVerification

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Aslam, Tariq Dennis [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000242630401), Lozano, Eduardo Jose [Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)] (ORCID:0000000179840720). 2026-02-04. An efficient level set method for tracking many materials. https://doi.org/10.1016/j.jcp.2026.114757

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