Arbitrary Lagrangian Eulerian remap treatments consistent with staggered compatible total energy conserving Lagrangian methods

JOURNAL OF COMPUTATIONAL PHYSICS

卷:273

Article

Owen, J. Michael¹  Shashkov, Mikhail² 

[1] Lawrence Livermore Natl Lab, AX Div, Livermore, CA 94550 USA

[2] Los Alamos Natl Lab, XCP Methods & Algorithms 4, Los Alamos, NM 87545 USA

关键词: Remapping;    ALE methods;   

DOI  :  10.1016/j.jcp.2014.05.023

来源: Elsevier

【 摘 要 】

We describe new methods of computing post-remap nodal and subzonal masses in Arbitrary Lagrangian Eulerian (ALE) calculations employing the staggered energy conserving Lagrangian hydrodynamics method of Caramana et al. (1998) [12]. An important feature of this Lagrangian algorithm is the distribution of the masses to subzonal corners within each zone, which is then used to difference the momentum and energy equations such that both linear momentum and total energy are conserved. Such algorithms present challenges when employed as part of an ALE application, however, as these subzonal masses must be treated consistently through the remap phase. In this work we develop new ideas to compute the post-remap corner masses and associated mass fluxes between the nodal control volumes, such that the new corner masses (and therefore zonal and nodal masses) are consistently defined and conservation of linear momentum is ensured through the ALE step. We demonstrate applications of these ideas on examples including pure remapping and full ALE test cases. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free