Symmetry-preserving momentum remap for ALE hydrodynamics

In this paper, a symmetry-preserving remapping algorithm for vectors respecting their local bounds by components and in magnitude is presented. First, description of the Vector Image Polygon (VIP) limiter for a piece-wise linear velocity reconstruction is presented. Numerical fluxes obtained from th...

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Bibliographic Details
Published in:Journal of physics. Conference series 2013-01, Vol.454 (1), p.12003-10
Main Authors: Velechovský, J, Kuchařík, M, Liska, R, Shashkov, M
Format: Article
Language:English
Subjects:
Algorithms
Computational fluid dynamics
Fluid flow
Fluxes
Mathematical analysis
Mathematical models
Momentum
Physics
Polygons
Radial velocity
Reconstruction
Symmetry
Vectors (mathematics)
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Summary:In this paper, a symmetry-preserving remapping algorithm for vectors respecting their local bounds by components and in magnitude is presented. First, description of the Vector Image Polygon (VIP) limiter for a piece-wise linear velocity reconstruction is presented. Numerical fluxes obtained from this reconstruction lead to symmetry- and bounds- preserving remap of momentum for staggered Arbitrary Lagrangian-Eulerian (ALE) hydrodynamical methods. A novel bounds definition for vectors and corresponding modification of the VIP limiter is introduced, which fixes undershoots in a radial velocity component for polar meshes. Comparison with standard scalar-based limiters is given. Cyclic remapping is performed to numerically verify properties of the methods.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/454/1/012003