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Abstract : |
In this paper, we propose a new numerical method for treating two phase incompressible ow where one phase is being converted into the other, e.g. the vaporization of liquid water. We consider this numerical method in the context of treating discontinuously thin ame fronts for incompressible ow. This method was designed as an extension of the Ghost Fluid Method [4] and relies heavily on the boundary condition capturing technology developed in [13] for the variable coecient Poisson equation and in [12] for multiphase incompressible ow. Our new numerical method admits a sharp interface representation similar to the method proposed in [9]. More importantly, the interface boundary conditions are handled in a simple and straightforward way making the code very robust, e.g. merging is trivial for our method. The method is presented in three spatial dimensions, with numerical examples in one, two and three spatial dimensions., |
