The construction of relevant initial conditions in the phase-field models for interfacial problems is discussed. If the model is supposed to have a local equilibrium at the interface, it must be based on a local distance function. However, since for the Cartesian coordinates non-uniform boundaries occur, the initial conditions have to be corrected in order to match the actual phenomena. We discuss the volume correction method, image initialisation, non-overlapping multi component concentration, etc. The methods presented can be used in the initial guess constructions for various phase-field models.
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Univ Helsinki, Dept Math & Stat, Gustaf Hallstromin Katu 2B, FIN-00014 Helsinki, FinlandUniv Helsinki, Dept Math & Stat, Gustaf Hallstromin Katu 2B, FIN-00014 Helsinki, Finland
Bubba, T. A.
Labate, D.
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Univ Houston, Dept Math, 651 Phillip G Hoffman, Houston, TX 77204 USAUniv Helsinki, Dept Math & Stat, Gustaf Hallstromin Katu 2B, FIN-00014 Helsinki, Finland
Labate, D.
Zanghirati, G.
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Univ Ferrara, Dept Math & Comp Sci, Via G Saragat 1, I-44122 Ferrara, Italy
INdAM GNCS, Via G Saragat 1, I-44122 Ferrara, ItalyUniv Helsinki, Dept Math & Stat, Gustaf Hallstromin Katu 2B, FIN-00014 Helsinki, Finland
Zanghirati, G.
Bonettini, S.
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Univ Modena & Reggio Emilia, Dept Phys Comp Sci & Math, Via G Campi 213-B, I-41125 Modena, Italy
INdAM GNCS, Via G Campi 213-B, I-41125 Modena, ItalyUniv Helsinki, Dept Math & Stat, Gustaf Hallstromin Katu 2B, FIN-00014 Helsinki, Finland
机构:
Univ Helsinki, Dept Math & Stat, Gustaf Hallstromin Katu 2B, FIN-00014 Helsinki, FinlandUniv Helsinki, Dept Math & Stat, Gustaf Hallstromin Katu 2B, FIN-00014 Helsinki, Finland
Bubba, T. A.
Labate, D.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Houston, Dept Math, 651 Phillip G Hoffman, Houston, TX 77204 USAUniv Helsinki, Dept Math & Stat, Gustaf Hallstromin Katu 2B, FIN-00014 Helsinki, Finland
Labate, D.
Zanghirati, G.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Ferrara, Dept Math & Comp Sci, Via G Saragat 1, I-44122 Ferrara, Italy
INdAM GNCS, Via G Saragat 1, I-44122 Ferrara, ItalyUniv Helsinki, Dept Math & Stat, Gustaf Hallstromin Katu 2B, FIN-00014 Helsinki, Finland
Zanghirati, G.
Bonettini, S.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Modena & Reggio Emilia, Dept Phys Comp Sci & Math, Via G Campi 213-B, I-41125 Modena, Italy
INdAM GNCS, Via G Campi 213-B, I-41125 Modena, ItalyUniv Helsinki, Dept Math & Stat, Gustaf Hallstromin Katu 2B, FIN-00014 Helsinki, Finland