The distribution-based remapping of the nodal mass and momentum between arbitrary meshes for staggered arbitrary Lagrangian-Eulerian hydrodynamics

•Remapping of the nodal mass and momentum between arbitrary meshes.•New method use only cell-centered remap and local constrained optimization.•New method is efficient, conservative, accurate and bounds preserving. We present a new distribution-based remapping of the nodal mass and momentum between...

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Bibliographic Details
Published in:Computers & fluids 2020-04, Vol.201 (C), p.104469, Article 104469
Main Authors: Kenamond, Mack, Shashkov, Mikhail
Format: Article
Language:English
Subjects:
ALE (numerical method)
Arbitrary meshes
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Fluid dynamics
Fluid flow
Fluid mechanics
Hydrodynamics
Momentum
Nodal remapping
Optimization
Staggered arbitrary-Lagrangian-Eulerian hydrodynamics
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Summary:•Remapping of the nodal mass and momentum between arbitrary meshes.•New method use only cell-centered remap and local constrained optimization.•New method is efficient, conservative, accurate and bounds preserving. We present a new distribution-based remapping of the nodal mass and momentum between arbitrary source (Lagrangian) and arbitrary target (rezoned) meshes for indirect staggered arbitrary Lagrangian-Eulerian hydrodynamics. The method is based on the following ideas: define cell-centered momentum and mass on the source mesh; conservatively remap those cell-centered quantities from source to target meshes; and use local constrained optimization for each cell of the target mesh to conservatively distribute cell mass and momentum to the nodes of the cell. This new method is efficient, conservative, accurate and bounds preserving.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2020.104469