Conservative Solution Transfer Between Anisotropic Meshes for Adaptive Time-Accurate Hybridized Discontinuous Galerkin Methods

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F23%3A43969494" target="_blank" >RIV/49777513:23520/23:43969494 - isvavai.cz</a>

Výsledek na webu

<a href="https://arc.aiaa.org/doi/10.2514/6.2023-1794" target="_blank" >https://arc.aiaa.org/doi/10.2514/6.2023-1794</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2514/6.2023-1794" target="_blank" >10.2514/6.2023-1794</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Conservative Solution Transfer Between Anisotropic Meshes for Adaptive 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. We focus in particular on a coupling of the solution process for unsteady problems with an anisotropic mesh refinement framework. The goal is to properly resolve all relevant unsteady features with the smallest number of mesh elements, and hence to reduce the computational cost of numerical simulations. The crucial step is then to transfer the numerical solution between two meshes since the anisotropic mesh adaptation is producing highly skewed unstructured grids that do not share the same topology as the original mesh where the solution is initially defined. For this purpose, we adopt the Galerkin projection as it preserves the conservation of physically relevant quantities and does not compromise the accuracy of a high-order method. We present numerical experiments verifying these properties of the overall method.

Název v anglickém jazyce

Conservative Solution Transfer Between Anisotropic Meshes for Adaptive Time-Accurate Hybridized Discontinuous Galerkin Methods

Popis výsledku anglicky

We present a hybridized discontinuous Galerkin (HDG) solver for general time-dependent balance laws. We focus in particular on a coupling of the solution process for unsteady problems with an anisotropic mesh refinement framework. The goal is to properly resolve all relevant unsteady features with the smallest number of mesh elements, and hence to reduce the computational cost of numerical simulations. The crucial step is then to transfer the numerical solution between two meshes since the anisotropic mesh adaptation is producing highly skewed unstructured grids that do not share the same topology as the original mesh where the solution is initially defined. For this purpose, we adopt the Galerkin projection as it preserves the conservation of physically relevant quantities and does not compromise the accuracy of a high-order method. We present numerical experiments verifying these properties of the overall method.

Druh

D - Stať ve sborníku

CEP obor

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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

2023

Kód důvěrnosti údajů

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

Název statě ve sborníku

AIAA SCITECH 2023 Forum

ISBN

978-1-62410-699-6

ISSN

—

e-ISSN

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Počet stran výsledku

17

Strana od-do

1-17

Název nakladatele

American Institute of Aeronautics and Astronautics

Místo vydání

Reston, VA, USA

Místo konání akce

National Harbor, MD, USA

Datum konání akce

23. 1. 2023

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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