Conservative Solution Transfer Between Anisotropic Meshes for Adaptive Time-Accurate Hybridized Discontinuous Galerkin Methods
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Conservative Solution Transfer Between Anisotropic Meshes for Adaptive Time-Accurate Hybridized Discontinuous Galerkin Methods
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
20302 - Applied mechanics
Result continuities
Project
<a href="/en/project/GA21-31457S" target="_blank" >GA21-31457S: Fast flow-field prediction using deep neural networks for solving fluid-structure interaction problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
AIAA SCITECH 2023 Forum
ISBN
978-1-62410-699-6
ISSN
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e-ISSN
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Number of pages
17
Pages from-to
1-17
Publisher name
American Institute of Aeronautics and Astronautics
Place of publication
Reston, VA, USA
Event location
National Harbor, MD, USA
Event date
Jan 23, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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