Non-Hydrostatic Mesoscale Atmospheric Modeling by the Anisotropic Mesh Adaptive Discontinuous Galerkin Method
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10493750" target="_blank" >RIV/00216208:11320/24:10493750 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=noy0StJ6lb" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=noy0StJ6lb</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/10618562.2024.2329467" target="_blank" >10.1080/10618562.2024.2329467</a>
Alternative languages
Result language
angličtina
Original language name
Non-Hydrostatic Mesoscale Atmospheric Modeling by the Anisotropic Mesh Adaptive Discontinuous Galerkin Method
Original language description
We deal with non-hydrostatic mesoscale atmospheric modelling using the fully implicit space-time discontinuous Galerkin method in combination with the anisotropic hp-mesh adaptation technique. The time discontinuous approximation allows the treatment of different meshes at different time levels in a natural way which can significantly reduce the number of degrees of freedom. The presented approach generates a sequence of triangular meshes consisting of possible anisotropic elements and varying polynomial approximation degrees such that the interpolation error is below the given tolerance and the number of degrees of freedom at each time step is minimal. We describe the discretization of the problem together with several implementation issues related to the treatment of boundary conditions, algebraic solver and adaptive choice of the size of the time steps. The computational performance of the proposed method is demonstrated on several benchmark problems.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA20-01074S" target="_blank" >GA20-01074S: Adaptive methods for the numerical solution of partial differential equations: analysis, error estimates and iterative solvers</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 of Computational Fluid Dynamics
ISSN
1061-8562
e-ISSN
1029-0257
Volume of the periodical
38
Issue of the periodical within the volume
2-3
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
21
Pages from-to
81-101
UT code for WoS article
001411276900002
EID of the result in the Scopus database
2-s2.0-85217063910