Abstract

An enhanced resolution capturing method has been developed for topologically complex, incompressible gas-liquid two-phase flows. The method is based on the level set method to represent the interface combined with two recent advances in the treatment of the interface, a boundary-condition-capturing method [Kong et al., J. Sci. Comput. 15 (2000) 323] to accurately satisfy the jump condition at the gas-liquid interface, and a particle level set method [Enright et al., J. Comput. Phys. 183 (2002) 83] in which massless marker particles are used to enhance the resolution of the interface. We present direct comparisons between computations made with the improved level set method and those with the conventional level set method. Several benchmark flows in two dimensions establish that the present method has clear superiority over the classical method, especially in computations where the spatial resolution is not as high.

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