A fixed-grid enthalpy formulation is developed to model convection and anisotropic conduction during solidification from the side or top wall of a rectangular cavity containing pure gallium. The solid-liquid interface is tracked with the use of an interface energy-balance equation. An improved discretization method is developed to prevent nonphysical oscillations due to discontinuous temperature and velocity gradients in the vicinity of the solid-liquid interface. Numerical results are compared to experimental data from tile literature on the morphology and positions of the interface. The effect of anisotropic conduction in the solid interacting with thermal convection in the liquid has been studied. [References: 10]
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