G. Labonia, V. Timchenko, J. E. Simpson, S. V. Garimella, E. Leonardi, and G. de Vahl Davis, “Reconstruction and Advection of a Moving Interface in Three Dimensions on a Fixed Grid,” Numerical Heat Transfer, Vol. 34, No. 2, pp. 121-138, 1998.
This article presents a method for explicit interface tracking in three dimensions that involves the reconstruction and advection of a moving interface on a fixed grid. Details of the algorithms and their implementation are discussed. The method consists of the identification of marker points, the reconstruction of the interface and the calculation of surface normals and normal velocities. The solution of governing equations calls for a determination of the points of intersection of the interface with the fixed grid. A method for the calculation of these intersection points is also presented. Front tracking in a simulated solidification problem is chosen as the sample system to illustrate the results obtained from this method.
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