Conservative solution transfer between anisotropic meshes for 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%2F24%3A43971632" target="_blank" >RIV/49777513:23520/24:43971632 - isvavai.cz</a>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Conservative solution transfer between anisotropic meshes for time-accurate hybridized discontinuous Galerkin methods
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
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
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal for Numerical Methods in Fluids
ISSN
0271-2091
e-ISSN
1097-0363
Volume of the periodical
96
Issue of the periodical within the volume
6
Country of publishing house
GB - UNITED KINGDOM
Number of pages
20
Pages from-to
1011-1030
UT code for WoS article
001175372300001
EID of the result in the Scopus database
2-s2.0-85186595345