Novel limiting process of the discontinuous Galerkin method applied to shallow water equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43927704" target="_blank" >RIV/49777513:23520/15:43927704 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Novel limiting process of the discontinuous Galerkin method applied to shallow water equations

Popis výsledku v původním jazyce

Shallow Water Equations are suitable for the modeling of the free surface flow when the horizontal scales of a liquid mass are much bigger than the vertical scale and vertical flows are negligible. The mathematical model of the Shallow Water Equations can be solved by the discontinuous Galerkin method. In present talk a new criterion for defining 'troubled' finite element cells is proposed and the limiting process for the discontinuous Galerkin method is suggested. This novel process is suitable for computations around wet/dry interface in the computational area, when the water depth approaches zero value, as well as for limiting oscillations of the solution around the shocks.

Název v anglickém jazyce

Novel limiting process of the discontinuous Galerkin method applied to shallow water equations

Popis výsledku anglicky

Shallow Water Equations are suitable for the modeling of the free surface flow when the horizontal scales of a liquid mass are much bigger than the vertical scale and vertical flows are negligible. The mathematical model of the Shallow Water Equations can be solved by the discontinuous Galerkin method. In present talk a new criterion for defining 'troubled' finite element cells is proposed and the limiting process for the discontinuous Galerkin method is suggested. This novel process is suitable for computations around wet/dry interface in the computational area, when the water depth approaches zero value, as well as for limiting oscillations of the solution around the shocks.

Druh

O - Ostatní výsledky

CEP obor

BK - Mechanika tekutin

OECD FORD obor

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Projekt

<a href="/cs/project/LO1506" target="_blank" >LO1506: Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2015

Kód důvěrnosti údajů

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