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We present a new approach for modeling the time-dependent evolution of partially faceted melt/crystal interfaces in large-scale melt–growth systems. The method, developed here for two–dimensional computations, involves decoupling, at each time step, between interface motion and thermal field calculations. Interface motion is calculated by directly applying an interface motion operator at each interface node-point, where this operator is consistent with step–flow and step-source kinetics, and depends on the topography of the interface, its thermal field and the type and availability of step–sources. The method is described in detail, and is shown to capture both nano–scale and macro–scale features of the evolving melt/crystal interface. Sample results accurately reproduce calculations obtained by other numerical as well as semi–analytical techniques. Additional computations, involving partially faceted and fully faceted interfaces in representative oxide and semiconductor systems are also presented and discussed. |
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