On Preservation of Symmetry in r-z Staggered Lagrangian Schemes

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F16%3A00235233" target="_blank" >RIV/68407700:21340/16:00235233 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.sciencedirect.com/science/article/pii/S0021999115008268" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0021999115008268</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jcp.2015.11.063" target="_blank" >10.1016/j.jcp.2015.11.063</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On Preservation of Symmetry in r-z Staggered Lagrangian Schemes

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

On Preservation of Symmetry in r-z Staggered Lagrangian Schemes

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA14-21318S" target="_blank" >GA14-21318S: Lagrangeovské a ALE metody pro mechaniku stlačitelných tekutin a elasto-plastických pevných látek</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Computational Physics

ISSN

0021-9991

e-ISSN

—

Svazek periodika

307

Číslo periodika v rámci svazku

15 Feb

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

12

Strana od-do

496-507

Kód UT WoS článku

000369085500028

EID výsledku v databázi Scopus

2-s2.0-84951036216