Comparison of implicit time-discretization schemes for hybridized discontinuous Galerkin methods

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F22%3A43966673" target="_blank" >RIV/49777513:23520/22:43966673 - isvavai.cz</a>

Výsledek na webu

<a href="http://hdl.handle.net/11025/51473" target="_blank" >http://hdl.handle.net/11025/51473</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.24132/acm.2022.786" target="_blank" >10.24132/acm.2022.786</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Comparison of implicit time-discretization schemes for hybridized discontinuous Galerkin methods

Popis výsledku v původním jazyce

The present study is focused on the application of two families of implicit time-integration schemes for general time-dependent balance laws of convection-diffusion-reaction type discretized by a hybridized discontinuous Galerkin method in space, namely backward differentiation formulas (BDF) and diagonally implicit Runge-Kutta (DIRK) methods. Special attention is devoted to embedded DIRK methods, which allow the incorporation of time step size adaptation algorithms in order to keep the computational effort as low as possible. The properties of the numerical solution, such as its order of convergence, are investigated by means of suitably chosen test cases for a linear convection-diffusion-reaction equation and the nonlinear system of Navier-Stokes equations. For problems considered in this work, the DIRK methods prove to be superior to high-order BDF methods in terms of both stability and accuracy.

Název v anglickém jazyce

Comparison of implicit time-discretization schemes for hybridized discontinuous Galerkin methods

Popis výsledku anglicky

The present study is focused on the application of two families of implicit time-integration schemes for general time-dependent balance laws of convection-diffusion-reaction type discretized by a hybridized discontinuous Galerkin method in space, namely backward differentiation formulas (BDF) and diagonally implicit Runge-Kutta (DIRK) methods. Special attention is devoted to embedded DIRK methods, which allow the incorporation of time step size adaptation algorithms in order to keep the computational effort as low as possible. The properties of the numerical solution, such as its order of convergence, are investigated by means of suitably chosen test cases for a linear convection-diffusion-reaction equation and the nonlinear system of Navier-Stokes equations. For problems considered in this work, the DIRK methods prove to be superior to high-order BDF methods in terms of both stability and accuracy.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Applied and Computational Mechanics

ISSN

1802-680X

e-ISSN

—

Svazek periodika

16

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

16

Strana od-do

119-134

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85146916882