Comparison of discontinuous Galerkin time integration schemes for the solution of flow problems with deformable domains

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43925994" target="_blank" >RIV/49777513:23520/15:43925994 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.amc.2015.03.063" target="_blank" >http://dx.doi.org/10.1016/j.amc.2015.03.063</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2015.03.063" target="_blank" >10.1016/j.amc.2015.03.063</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Comparison of discontinuous Galerkin time integration schemes for the solution of flow problems with deformable domains

Popis výsledku v původním jazyce

The computational eciency of numerical solvers is known to strongly depend on the chosen time integration scheme. Thus, when solving viscous flow problems on time-varying domains, an eficient and reliable solver is one of the prerequisites for a successful solution. For this reason, we provide a comparison of two time integration schemes in terms of numerical error and CPU time usage. The contribution of the paper lies in the mutual comparison of two diferent approaches for time integration of the compressible Navier-Stokes equations in arbitrary Lagrangian-Eulerian (ALE) description that are spatially discretised by the discontinuous Galerkin fnite element method. The computational ability of implicit Crank-Nicolson scheme and explicit three-step Runge-Kutta scheme, computational performance of which is improved by the local time-stepping technique, are tested on two flow problems: the propagation of an isentropic vortex, which has a known analytical solution, and the viscous flow aro

Název v anglickém jazyce

Comparison of discontinuous Galerkin time integration schemes for the solution of flow problems with deformable domains

Popis výsledku anglicky

The computational eciency of numerical solvers is known to strongly depend on the chosen time integration scheme. Thus, when solving viscous flow problems on time-varying domains, an eficient and reliable solver is one of the prerequisites for a successful solution. For this reason, we provide a comparison of two time integration schemes in terms of numerical error and CPU time usage. The contribution of the paper lies in the mutual comparison of two diferent approaches for time integration of the compressible Navier-Stokes equations in arbitrary Lagrangian-Eulerian (ALE) description that are spatially discretised by the discontinuous Galerkin fnite element method. The computational ability of implicit Crank-Nicolson scheme and explicit three-step Runge-Kutta scheme, computational performance of which is improved by the local time-stepping technique, are tested on two flow problems: the propagation of an isentropic vortex, which has a known analytical solution, and the viscous flow aro

Druh

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

CEP obor

BK - Mechanika tekutin

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2015

Kód důvěrnosti údajů

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

Název periodika

Applied Mathematics and Computation

ISSN

0096-3003

e-ISSN

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Svazek periodika

267

Číslo periodika v rámci svazku

September 2015

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

12

Strana od-do

329-340

Kód UT WoS článku

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EID výsledku v databázi Scopus

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