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The constrained interpolation profile method for multiphase analysis. (English) Zbl 1047.76104
Summary: We present a review of the constrained interpolation profile (CIP) method that is known as a general numerical solver for solid, liquid, gas, and plasma problems. This method is a kind of semi-Lagrangian scheme and has been extended to treat incompressible flows in the framework of compressible fluids. Since it uses primitive Euler representation, it is suitable for multiphase analysis. The recent version of this method guarantees the exact mass conservation, even in the framework of a semi-Lagrangian scheme. We provide a comprehensive review of the strategy of CIP method, which has a compact support and subcell resolution, including a front-capturing algorithm with functional transformation, a pressure-based algorithm, and other miscellaneous physics such as the elastic-plastic effect and surface tension. Some practical applications are also reviewed, such as milk crown or coronet, laser-induced melting, and turbulent mixing layer on liquid-gas interface.

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76T10 Liquid-gas two-phase flows, bubbly flows
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