Non-Hydrostatic Mesoscale Atmospheric Modeling by the Anisotropic Mesh Adaptive Discontinuous Galerkin Method

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Non-Hydrostatic Mesoscale Atmospheric Modeling by the Anisotropic Mesh Adaptive Discontinuous Galerkin Method

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Non-Hydrostatic Mesoscale Atmospheric Modeling by the Anisotropic Mesh Adaptive Discontinuous Galerkin Method

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA20-01074S" target="_blank" >GA20-01074S: Adaptivní metody pro numerické řešení parciálních diferenciálních rovnic: analýza, odhady chyb a iterativní řešiče</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 of Computational Fluid Dynamics

ISSN

1061-8562

e-ISSN

1029-0257

Svazek periodika

38

Číslo periodika v rámci svazku

2-3

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

21

Strana od-do

81-101

Kód UT WoS článku

001411276900002

EID výsledku v databázi Scopus

2-s2.0-85217063910