Combined swept region and intersection-based single-material remapping method

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00310245" target="_blank" >RIV/68407700:21340/17:00310245 - isvavai.cz</a>

Výsledek na webu

<a href="http://onlinelibrary.wiley.com/doi/10.1002/fld.4384/full" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/fld.4384/full</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/fld.4384" target="_blank" >10.1002/fld.4384</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Combined swept region and intersection-based single-material remapping method

Popis výsledku v původním jazyce

A typical Arbitrary Lagrangian-Eulerian (ALE) algorithm consists of a Lagrangian step, where the computational mesh moves with the fluid flow, a rezoning step, where the computational mesh is smoothed and repaired in case it gets too distorted, and a remapping step, where all fluid quantities are conservatively interpolated on this new mesh. In single-material simulations, the remapping process can be represented in a flux form, with fluxes approximated by integrating a reconstructed function over intersections of neighboring computational cells on the original and rezoned computational mesh. This algorithm is complex and computationally demanding -- therefore a simpler approach, which utilizes regions swept by the cell edges during rezoning, is often used in practice. However, it has been observed that such simplification can lead to distortion of the solution symmetry, especially when the mesh movement is not bound by such symmetry. For this reason, we propose an algorithm combining both approaches in a similar way that was proposed for multi-material remapping (two-step hybrid remap). Intersections and exact integration are employed only in certain parts of the computational mesh, marked by a switching function -- various different criteria are presented in this paper. The swept-based method is used elsewhere in areas that are not marked. This way our algorithm can retain the beneficial symmetry-preserving capabilities of intersection-based remapping while keeping the overall computational cost moderate.

Název v anglickém jazyce

Combined swept region and intersection-based single-material remapping method

Popis výsledku anglicky

A typical Arbitrary Lagrangian-Eulerian (ALE) algorithm consists of a Lagrangian step, where the computational mesh moves with the fluid flow, a rezoning step, where the computational mesh is smoothed and repaired in case it gets too distorted, and a remapping step, where all fluid quantities are conservatively interpolated on this new mesh. In single-material simulations, the remapping process can be represented in a flux form, with fluxes approximated by integrating a reconstructed function over intersections of neighboring computational cells on the original and rezoned computational mesh. This algorithm is complex and computationally demanding -- therefore a simpler approach, which utilizes regions swept by the cell edges during rezoning, is often used in practice. However, it has been observed that such simplification can lead to distortion of the solution symmetry, especially when the mesh movement is not bound by such symmetry. For this reason, we propose an algorithm combining both approaches in a similar way that was proposed for multi-material remapping (two-step hybrid remap). Intersections and exact integration are employed only in certain parts of the computational mesh, marked by a switching function -- various different criteria are presented in this paper. The swept-based method is used elsewhere in areas that are not marked. This way our algorithm can retain the beneficial symmetry-preserving capabilities of intersection-based remapping while keeping the overall computational cost moderate.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

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

2017

Kód důvěrnosti údajů

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

Název periodika

International Journal for Numerical Methods in Fluids

ISSN

0271-2091

e-ISSN

1097-0363

Svazek periodika

85

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

20

Strana od-do

363-382

Kód UT WoS článku

000410707900002

EID výsledku v databázi Scopus

2-s2.0-85019044851