Conservative high-order data transfer method on generalized polygonal meshes

Lipnikov, Konstantin; Shashkov, Mikhail Jurievich

doi:10.1016/j.jcp.2022.111822

Conservative high-order data transfer method on generalized polygonal meshes

Journal Article · Thu Dec 01 00:00:00 EST 2022 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2022.111822· OSTI ID:1903542

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

A conservative data transfer (remap) between two meshes is an important step of arbitrary Lagrangian-Eulerian (ALE) hydrodynamics simulations. High-order numerical methods for ALE simulations require both high-order (curvilinear) meshes and high-order remap algorithms. Here we develop a conservative and bounds-preserving method for accurate remapping of discrete fields on generalized polygonal meshes with curvilinear edges. The properties of the proposed method are studied theoretically and numerically for various (smooth and non-smooth) mesh deformations and discrete fields that represent smooth and discontinuous functions.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE National Nuclear Security Administration (NNSA), Office of Defense Nuclear Nonproliferation

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1903542

Alternate ID(s):: OSTI ID: 1960622

Report Number(s):: LA-UR-22-26391

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Vol. 474; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
bounds preservation
conservative data transfer
curvilinear meshes
data transfer between meshes
high-order methods
numerical schemes
polygonal meshes
swept-face remap

Conservative high-order data transfer method on generalized polygonal meshes

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References (16)

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