Symmetry Preservation and Volume Consistency in an r-z Staggered Scheme

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00217328" target="_blank" >RIV/68407700:21340/14:00217328 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Symmetry Preservation and Volume Consistency in an r-z Staggered Scheme

Popis výsledku v původním jazyce

This work is focused on the issue of symmetry preservation, energy and volume conservation and other important properties of staggered Lagrangian hydrodynamic schemes in cylindrical geometry. Typical advantages and drawbacks of existing area-weighted (AW) and genuinely r-z schemes will be pointed out. With quadrilateral cells it is known that, in r-z, spherical symmetry preservation, perfect satisfaction of GCL, and total energy conservation are incompatible. Being aware of this, we propose a staggeredapproach that conserves energy by construction and tries to do its best by diminishing the GCL error to the order of entropy error. In particular, we correct the volume consistent forces from [Loubere, Shashkov, Wendroff, J. Comput. Phys. 227(2008)] so that spherical symmetry is preserved. This idea is similar to the approach from [Vachal, Wendroff, J. Comput. Phys. 258 (2014)], where we suggested a new r-z artificial viscosity that preserves symmetry and is (unlike typical AW viscositie

Název v anglickém jazyce

Symmetry Preservation and Volume Consistency in an r-z Staggered Scheme

Popis výsledku anglicky

This work is focused on the issue of symmetry preservation, energy and volume conservation and other important properties of staggered Lagrangian hydrodynamic schemes in cylindrical geometry. Typical advantages and drawbacks of existing area-weighted (AW) and genuinely r-z schemes will be pointed out. With quadrilateral cells it is known that, in r-z, spherical symmetry preservation, perfect satisfaction of GCL, and total energy conservation are incompatible. Being aware of this, we propose a staggeredapproach that conserves energy by construction and tries to do its best by diminishing the GCL error to the order of entropy error. In particular, we correct the volume consistent forces from [Loubere, Shashkov, Wendroff, J. Comput. Phys. 227(2008)] so that spherical symmetry is preserved. This idea is similar to the approach from [Vachal, Wendroff, J. Comput. Phys. 258 (2014)], where we suggested a new r-z artificial viscosity that preserves symmetry and is (unlike typical AW viscositie

Druh

O - Ostatní výsledky

CEP obor

BK - Mechanika tekutin

OECD FORD obor

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Projekt

<a href="/cs/project/GPP201%2F12%2FP554" target="_blank" >GPP201/12/P554: Pokročilé Lagrangeovské metody pro hydrodynamické výpočty</a><br>

Návaznosti

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

Rok uplatnění

2014

Kód důvěrnosti údajů

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