Local Error Analysis and Comparison of the Swept- and Intersection-Based Remapping Methods

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F17%3A00308990" target="_blank" >RIV/68407700:21340/17:00308990 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.cambridge.org/core/journals/communications-in-computational-physics/article/div-classtitlelocal-error-analysis-and-comparison-of-the-swept-and-intersection-based-remapping-methodsdiv/7E9FDB586152939AA11C343863A45A1C" target="_blank" >https://www.cambridge.org/core/journals/communications-in-computational-physics/article/div-classtitlelocal-error-analysis-and-comparison-of-the-swept-and-intersection-based-remapping-methodsdiv/7E9FDB586152939AA11C343863A45A1C</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4208/cicp.OA-2015-0021" target="_blank" >10.4208/cicp.OA-2015-0021</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Local Error Analysis and Comparison of the Swept- and Intersection-Based Remapping Methods

Popis výsledku v původním jazyce

In this paper, the numerical error of two widely used methods for remapping of discrete quantities from one computational mesh to another is investigated. We compare the intuitive, but resource intensive method utilizing intersections of computational cells with the faster and simpler swept-region-based method. Both algorithms are formally second order accurate, however, they are known to produce slightly different quantity profiles in practical applications. The second-order estimate of the error formula is constructed algebraically for both algorithms so that their local accuracy can be evaluated. This general estimate is then used to assess the dependence of the performance of both methods on parameters such as the second derivatives of the remapped distribution, mesh geometry or mesh movement. Due to the complexity of such analysis, it is performed on a set of simplified elementary mesh patterns such as cell corner expansion, rotation or shear. On selected numerical tests it is demonstrated that the swept-based method can distort a symmetric quantity distribution more substantially than the intersection-based approach when the computational mesh moves in an unsuitable direction.

Název v anglickém jazyce

Local Error Analysis and Comparison of the Swept- and Intersection-Based Remapping Methods

Popis výsledku anglicky

In this paper, the numerical error of two widely used methods for remapping of discrete quantities from one computational mesh to another is investigated. We compare the intuitive, but resource intensive method utilizing intersections of computational cells with the faster and simpler swept-region-based method. Both algorithms are formally second order accurate, however, they are known to produce slightly different quantity profiles in practical applications. The second-order estimate of the error formula is constructed algebraically for both algorithms so that their local accuracy can be evaluated. This general estimate is then used to assess the dependence of the performance of both methods on parameters such as the second derivatives of the remapped distribution, mesh geometry or mesh movement. Due to the complexity of such analysis, it is performed on a set of simplified elementary mesh patterns such as cell corner expansion, rotation or shear. On selected numerical tests it is demonstrated that the swept-based method can distort a symmetric quantity distribution more substantially than the intersection-based approach when the computational mesh moves in an unsuitable direction.

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

Communications in Computational Physics

ISSN

1815-2406

e-ISSN

1991-7120

Svazek periodika

21

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CN - Čínská lidová republika

Počet stran výsledku

33

Strana od-do

526-558

Kód UT WoS článku

000395527500009

EID výsledku v databázi Scopus

2-s2.0-85012919515