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A second order, linear, unconditionally stable, Crank-Nicolson-Leapfrog scheme for phase field models of two-phase incompressible flows. (English) Zbl 07258071
Summary: In this article we propose a second order, linear, unconditionally stable, implicit-explicit scheme based on the Crank-Nicolson-Leapfrog discretization and the artificial compression method for solving phase field models of two-phase incompressible flows. We show that the scheme is unconditionally long-time stable. Numerical examples are provided to demonstrate the accuracy and long-time stability.

MSC:
76 Fluid mechanics
65 Numerical analysis
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