Applying an Oriented Divergence Theorem to Swept Face Remap

Vaccaro, Jennifer; Lipnikov, Konstantin

doi:10.1137/22m1518359

Applying an Oriented Divergence Theorem to Swept Face Remap

Journal Article · Mon Oct 09 00:00:00 EDT 2023 · SIAM Journal on Numerical Analysis

DOI:https://doi.org/10.1137/22m1518359· OSTI ID:2441351

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Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Univ. of Illinois, Chicago, IL (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Here we present a novel oriented divergence theorem and apply the results to a swept face remap method (conservative data transfer between two meshes) in arbitrary Langrangian–Eulerian hydrodynamics. In our setting, we compute the material flux along swept regions between corresponding faces in the source and target meshes. Since the swept region may add material, subtract material, or do both when it intersects itself, we cannot apply the conventional divergence theorem without accounting for orientation and self-overlaps. In this work, we encode the swept region orientation and geometry with a map from the unit n -dimensional cube, and then apply an oriented analog of divergence theorem to compute the material flux. We present efficient implementation strategies for the presented method. We also provide numerical evidence supporting our results and discuss extensions to more general mesh topologies.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2441351

Report Number(s):: LA-UR--22-28731

Journal Information:: SIAM Journal on Numerical Analysis, Journal Name: SIAM Journal on Numerical Analysis Journal Issue: 5 Vol. 61; ISSN 0036-1429

Publisher:: Society for Industrial and Applied Mathematics (SIAM)Copyright Statement

Country of Publication:: United States

Language:: English

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97 MATHEMATICS AND COMPUTING
arbitrary Lagrangian-Eulerian methods
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Applying an Oriented Divergence Theorem to Swept Face Remap

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