A Multipoint Flux Approximation Finite Volume Scheme for Solving Anisotropic Reaction-Diffusion Systems in 3D
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00184499" target="_blank" >RIV/68407700:21340/11:00184499 - isvavai.cz</a>
Result on the web
<a href="http://www.springerlink.com/content/gu65456227045w3q/" target="_blank" >http://www.springerlink.com/content/gu65456227045w3q/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-20671-9_78" target="_blank" >10.1007/978-3-642-20671-9_78</a>
Alternative languages
Result language
angličtina
Original language name
A Multipoint Flux Approximation Finite Volume Scheme for Solving Anisotropic Reaction-Diffusion Systems in 3D
Original language description
Our DT-MRI visualization algorithm based on anisotropic texture diffusion relies on the problem for the Allen-Cahn equation with a space-dependent anisotropic diffusion operator. To preserve its anisotropic properties in the discretized version of the problem, an appropriate numerical treatment is necessary, reducing the isotropic numerical diffusion. The first part of this contribution is concerned with the design and investigation of the finite volume scheme with multipoint flux approximation. Its desirable properties are investigated by means of our technique based on total variation measurement. The second part presents the recent achievements in applying the same scheme to the phase field model of dendritic crystal growth.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Finite Volumes for Complex Applications VI, Problems & Perspectives
ISBN
978-3-642-20670-2
ISSN
2190-5614
e-ISSN
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Number of pages
9
Pages from-to
741-749
Publisher name
Springer-Verlag
Place of publication
Berlin
Event location
Prague
Event date
Jun 6, 2011
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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