On preservation of symmetry in r-z staggered Lagrangian schemes

JOURNAL OF COMPUTATIONAL PHYSICS

卷:307

Article

Vachal, Pavel¹  Wendroff, Burton² 

[1] Czech Tech Univ, Fac Nucl Sci & Phys Engn, Brehova 7, CR-11519 Prague 1, Czech Republic

[2] Los Alamos Natl Lab, Los Alamos, NM USA

关键词: Cylindrical geometry;    Axi-symmetric;    Spherical symmetry;    Geometric Conservation Law;    Entropy conservation;    Subcell pressure forces;    Staggered grid Lagrangian;   

DOI  :  10.1016/j.jcp.2015.11.063

来源: Elsevier

【 摘 要 】

In the focus of this work are symmetry preservation, conservation of energy and volume, and other important properties of staggered Lagrangian hydrodynamic schemes in cylindrical (r-z) geometry. It is well known that on quadrilateral cells in r-z, preservation of spherical symmetry, perfect satisfaction of the Geometrical Conservation Law (GCL), and total energy conservation are incompatible even on conforming grids. This paper suggests a novel staggered grid approach that preserves symmetry, conserves total energy by construction and tries to do its best by diminishing the GCL error to the order of entropy error. In particular, the forces from an existing volume consistent scheme are corrected so that spherical symmetry is preserved. The incorporation of subcell pressure mechanism to reduce spurious grid deformations is described and the relation of the new scheme to popular area-weighted and control volume approaches studied. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free