Lattice Boltzmann phase-field modelling of binary-alloy solidification
β Scribed by W. Miller; I. Rasin; S. Succi
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 258 KB
- Volume
- 362
- Category
- Article
- ISSN
- 0378-4371
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π SIMILAR VOLUMES
A linear model for the solidification of a dilute binary alloy is presented. In this model the solidus and liquidus curves are linear. As a consequence internal energy depends linearly upon temperature and concentration. The formulation is a generalization of the well-known enthalpy method to treat
We investigate the well-posedness of a phase-"eld model for the isothermal solidi"cation of a binary alloy due to Warren}Boettinger [12]. Existence of weak solution as well as regularity and uniqueness results are established under Lipschitz and boundedness assumptions for the non-linearities. A max
Using state-of-the-art numerical techniques, such as mesh adaptivity, implicit time-stepping and a non-linear multi-grid solver, the phase-field equations for the non-isothermal solidification of a dilute binary alloy have been solved. Using the quantitative, thin-interface formulation of the proble