Second order phase field asymptotics for multi-component systems
نویسندگان
چکیده
منابع مشابه
Second order phase field asymptotics for multi-component systems
We derive a phase field model which approximates a sharp interface model for solidification of a multicomponent alloy to second order in the interfacial thickness ε. Since in numerical computations for phase field models the spatial grid size has to be smaller than ε the new approach allows for considerably more accurate phase field computations than have been possible so far. In the classical ...
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We consider phase field models with the objective of approximating sharp interface models. By using second order asymptotics in the interface thickness parameter, ε, we develop models in which the order ε term is eliminated, suggesting more rapid convergence to the ε = 0 (sharp interface) limit. In addition we use non-smooth potentials with a non-zero gradient at the roots. These changes result...
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ژورنال
عنوان ژورنال: Interfaces and Free Boundaries
سال: 2006
ISSN: 1463-9963
DOI: 10.4171/ifb/138