A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities | Zendy

Jie Shen | Zendy; Xiaofeng Yang | Zendy

Open Access

A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities

Author(s) -

Jie Shen,

Xiaofeng Yang

Publication year - 2010

Publication title -

siam journal on scientific computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.674

H-Index - 147

eISSN - 1095-7197

pISSN - 1064-8275

DOI - 10.1137/09075860x

Subject(s) - discretization , compressibility , mathematics , phase field models , viscosity , field (mathematics) , phase (matter) , nonlinear system , numerical analysis , correctness , statistical physics , mathematical analysis , mechanics , physics , thermodynamics , algorithm , quantum mechanics , pure mathematics

Modeling and numerical approximation of two-phase incompressible flows with different densities and viscosities are considered. A physically consistent phase-field model that admits an energy law is proposed, and several energy stable, efficient, and accurate time discretization schemes for the coupled nonlinear phase-field model are constructed and analyzed. Ample numerical experiments are carried out to validate the correctness of these schemes and their accuracy for problems with large density and viscosity ratios.

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