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Title: Volume change and energy exchange: How they affect symmetry in the Noh problem

The edge viscosity of Caramana, Shashkov and Whalen is known to fail on the Noh problem in an initially rectangular grid. In this paper, we present a simple change that significantly improves the behavior in that case. We also show that added energy exchange between cells improves the symmetry of both edge viscosity and the tensor viscosity of Campbell and Shashkov. Finally, as suggested by Noh, this addition also reduces the wall heating effect.
Authors:
ORCiD logo [1] ;  [2]
  1. Czech Technical Univ. in Prague (Czech Republic). Faculty of Nuclear Sciences and Physical Engineering
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-17-29800
Journal ID: ISSN 0021-9991
Grant/Contract Number:
AC52-06NA25396; 18-20962S; RVO 68407700
Type:
Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 364; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); Czech Science Foundation; Czech Ministry of Education
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Noh; edge viscosity; rectangular grid; energy exchange
OSTI Identifier:
1430010

Vachal, Pavel, and Wendroff, Burton. Volume change and energy exchange: How they affect symmetry in the Noh problem. United States: N. p., Web. doi:10.1016/j.jcp.2018.03.021.
Vachal, Pavel, & Wendroff, Burton. Volume change and energy exchange: How they affect symmetry in the Noh problem. United States. doi:10.1016/j.jcp.2018.03.021.
Vachal, Pavel, and Wendroff, Burton. 2018. "Volume change and energy exchange: How they affect symmetry in the Noh problem". United States. doi:10.1016/j.jcp.2018.03.021.
@article{osti_1430010,
title = {Volume change and energy exchange: How they affect symmetry in the Noh problem},
author = {Vachal, Pavel and Wendroff, Burton},
abstractNote = {The edge viscosity of Caramana, Shashkov and Whalen is known to fail on the Noh problem in an initially rectangular grid. In this paper, we present a simple change that significantly improves the behavior in that case. We also show that added energy exchange between cells improves the symmetry of both edge viscosity and the tensor viscosity of Campbell and Shashkov. Finally, as suggested by Noh, this addition also reduces the wall heating effect.},
doi = {10.1016/j.jcp.2018.03.021},
journal = {Journal of Computational Physics},
number = ,
volume = 364,
place = {United States},
year = {2018},
month = {3}
}