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- Phase_field_models abstract "A phase field model is a mathematical model for solving interfacial problems. It has mainly been applied to solidification dynamics, but it has also been applied to other situations such as viscous fingering, fracture dynamics, vesicle dynamics, etc.The method substitutes boundary conditions at the interface by a partial differential equation for the evolution of an auxiliary field (the phase field) that takes the role of an order parameter. This phase field takes two distinct values (for instance +1 and −1) in each of the phases, with a smooth change between both values in the zone around the interface, which is then diffuse with a finite width. A discrete location of the interface may be defined as the collection of all points where the phase field takes a certain value (e.g., 0). A phase field model is usually constructed in such a way that in the limit of an infinitesimal interface width (the so-called sharp interface limit) the correct interfacial dynamics are recovered. This approach permits to solve the problem by integrating a set of partial differential equations for the whole system, thus avoiding the explicit treatment of the boundary conditions at the interface.Phase field models were first introduced by Fix and Langer, and have experienced a growing interest in solidification and other areas.".
- Phase_field_models thumbnail Phase_field_order_parameter.jpg?width=300.
- Phase_field_models wikiPageExternalLink annurev.matsci.32.112001.132041?journalCode=matsci.
- Phase_field_models wikiPageExternalLink 0305058.
- Phase_field_models wikiPageExternalLink mmsp.
- Phase_field_models wikiPageExternalLink MICRESS.
- Phase_field_models wikiPageExternalLink index.php?id=113.
- Phase_field_models wikiPageExternalLink PHreview.html.
- Phase_field_models wikiPageExternalLink S0301932211000474.
- Phase_field_models wikiPageExternalLink science?_ob=ArticleURL&_udi=B6TWC-4R7M8WV-1&_user=635991&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000059613&_version=1&_urlVersion=0&_userid=635991&md5=285808fe3ea10c93f08433bec240e298.
- Phase_field_models wikiPageID "16706608".
- Phase_field_models wikiPageRevisionID "601919193".
- Phase_field_models hasPhotoCollection Phase_field_models.
- Phase_field_models subject Category:Mathematical_modeling.
- Phase_field_models comment "A phase field model is a mathematical model for solving interfacial problems. It has mainly been applied to solidification dynamics, but it has also been applied to other situations such as viscous fingering, fracture dynamics, vesicle dynamics, etc.The method substitutes boundary conditions at the interface by a partial differential equation for the evolution of an auxiliary field (the phase field) that takes the role of an order parameter.".
- Phase_field_models label "Phase field models".
- Phase_field_models label "Phasenfeldmethode".
- Phase_field_models label "相场模型".
- Phase_field_models sameAs Phasenfeldmethode.
- Phase_field_models sameAs m.03ynxtv.
- Phase_field_models sameAs Q1640482.
- Phase_field_models sameAs Q1640482.
- Phase_field_models wasDerivedFrom Phase_field_models?oldid=601919193.
- Phase_field_models depiction Phase_field_order_parameter.jpg.
- Phase_field_models isPrimaryTopicOf Phase_field_models.
