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

Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Symmetry Preservation and Volume Consistency in an r-z Staggered Scheme
Original language description
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
Czech name
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Czech description
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Project
<a href="/en/project/GPP201%2F12%2FP554" target="_blank" >GPP201/12/P554: Advanced Lagrangian Methods for Computational Hydrodynamics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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