Symmetry-preserving momentum remap for ALE hydrodynamics

24th IUPAP Conference on Computational Physics

物理学;计算机科学

Velechovský, J.^1 ; Kucharík, M.^1 ; Liska, R.^1 ; Shashkov, M.^2

Czech Technical University, Faculty of Nuclear Sciences and Physical Engineering, Brehová 7, Praha 1, 115 19, Czech Republic^1

Los Alamos National Laboratory, Group XCP-4, Los Alamos, NM 87545, United States^2

关键词: Arbitrary Lagrangian Eulerian;    Numerical flux;    Piecewise linear;    Radial velocity;    Remapping;    Remapping algorithms;    Vector images;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/454/1/012003/pdf
DOI  :  10.1088/1742-6596/454/1/012003

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

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.