Conservative solution transfer between anisotropic meshes for time-accurate hybridized discontinuous Galerkin methods

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F24%3A43971632" target="_blank" >RIV/49777513:23520/24:43971632 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1002/fld.5278" target="_blank" >https://doi.org/10.1002/fld.5278</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/fld.5278" target="_blank" >10.1002/fld.5278</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Conservative solution transfer between anisotropic meshes for time-accurate hybridized discontinuous Galerkin methods

Popis výsledku v původním jazyce

We present a hybridized discontinuous Galerkin (HDG) solver for general time-dependent balance laws.In particular, we focus on a coupling of the solution process for unsteady problems with our anisotropic mesh refinement framework.The goal is to properly resolve all relevant unsteady features with the smallest possible number of mesh elements, and hence to reduce the computational cost of numerical simulations while maintaining its accuracy. A crucial step is then to transfer the numerical solution between two meshes, as the anisotropic mesh adaptation is producing highly skewed, non-nested sequences of triangular grids. For this purpose, we adopt the Galerkin projection for the HDG solution transfer as it preserves the conservation of physically relevant quantities and does not compromise the accuracy of high-order method. We present numerical experiments verifying these properties of the anisotropically adaptive HDG method.

Název v anglickém jazyce

Conservative solution transfer between anisotropic meshes for time-accurate hybridized discontinuous Galerkin methods

Popis výsledku anglicky

We present a hybridized discontinuous Galerkin (HDG) solver for general time-dependent balance laws.In particular, we focus on a coupling of the solution process for unsteady problems with our anisotropic mesh refinement framework.The goal is to properly resolve all relevant unsteady features with the smallest possible number of mesh elements, and hence to reduce the computational cost of numerical simulations while maintaining its accuracy. A crucial step is then to transfer the numerical solution between two meshes, as the anisotropic mesh adaptation is producing highly skewed, non-nested sequences of triangular grids. For this purpose, we adopt the Galerkin projection for the HDG solution transfer as it preserves the conservation of physically relevant quantities and does not compromise the accuracy of high-order method. We present numerical experiments verifying these properties of the anisotropically adaptive HDG method.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

<a href="/cs/project/GA21-31457S" target="_blank" >GA21-31457S: Použití neuronových sítí pro rychlou predikci proudového pole v úlohách interakce tekutiny s tělesem</a><br>

Návaznosti

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

Rok uplatnění

2024

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

96

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

20

Strana od-do

1011-1030

Kód UT WoS článku

001175372300001

EID výsledku v databázi Scopus

2-s2.0-85186595345