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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F04%3A04105340" target="_blank" >RIV/68407700:21340/04:04105340 - isvavai.cz</a>
Result on the web
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Result language
angličtina
Original language name
On a phase-field model with advection, in Numerical Mathematics and Advanced Applications
Original language description
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.
Czech name
On a phase-field model with advection, in Numerical Mathematics and Advanced Applications
Czech description
Tento příspěvek je věnován numerickému řešení Allenovy Cahnovy rovnice s advekčním členem.

Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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