About: On a phase-field model with advection, in Numerical Mathematics and Advanced Applications

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Tento příspěvek je věnován numerickému řešení Allenovy Cahnovy rovnice s advekčním členem. (cs) In this contribution, we present a phase-field model of advected mean-curvature flow and of advected pattern formation in solidification. The model is based on the approach presented in \cite{BenAlg00}, where an extensive literature list on methods treating mean-curvature problems can be found. The model represents a step towards simulation of solidification processes where the melt motion is important. We give a basic mathematical information concerning the weak solution of the model equations, introduce a numerical scheme based on the Finite-Difference Method, and show several numerical studies demostrating basic qualitative effects of advection in the given context. In this contribution, we present a phase-field model of advected mean-curvature flow and of advected pattern formation in solidification. The model is based on the approach presented in \cite{BenAlg00}, where an extensive literature list on methods treating mean-curvature problems can be found. The model represents a step towards simulation of solidification processes where the melt motion is important. We give a basic mathematical information concerning the weak solution of the model equations, introduce a numerical scheme based on the Finite-Difference Method, and show several numerical studies demostrating basic qualitative effects of advection in the given context. (en)
Title	On a phase-field model with advection, in Numerical Mathematics and Advanced Applications On a phase-field model with advection, in Numerical Mathematics and Advanced Applications (en) On a phase-field model with advection, in Numerical Mathematics and Advanced Applications (cs)
skos:prefLabel	On a phase-field model with advection, in Numerical Mathematics and Advanced Applications On a phase-field model with advection, in Numerical Mathematics and Advanced Applications (en) On a phase-field model with advection, in Numerical Mathematics and Advanced Applications (cs)
skos:notation	RIV/68407700:21340/04:04105340!RIV09-MSM-21340___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM 210000010)
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Beneš, Michal
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	577699
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/04:04105340
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	advection; phase-field (en)
http://linked.open.../riv/klicoveSlovo	phase-field advection
http://linked.open...ontrolniKodProRIV	[CE2DB5BAFAFA]
http://linked.open...v/mistoKonaniAkce	Praha
http://linked.open...i/riv/mistoVydani	Berlin
http://linked.open...i/riv/nazevZdroje	Numerical Mathematics and Advanced Application
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2004
http://linked.open...iv/tvurceVysledku	Beneš, Michal
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open...ain/vavai/riv/wos	000224551300011
http://linked.open.../riv/zahajeniAkce	2003-08-18 (xsd:date)
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20210000010
number of pages	10 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	3-540-21460-7
http://localhost/t...ganizacniJednotka	21340

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