A second order, linear, unconditionally stable, Crank-Nicolson-Leapfrog scheme for phase field models of two-phase incompressible flows

DOI10.1016/j.aml.2020.106521zbMath1459.76091OpenAlexW3028715466MaRDI QIDQ2005982

Daozhi Han, Nan Jiang

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106521

zbMATH Keywords

semi-discrete schemeartificial compressionphase field Cahn-Hilliard-Navier-Stokes equationsunconditional long-time stability

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Liquid-liquid two component flows (76T06)

Related Items (7)

A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations ⋮ A fully-decoupled artificial compressible Crank-Nicolson-leapfrog time stepping scheme for the phase field model of two-phase incompressible flows ⋮ Decoupled Crank–Nicolson LeapFrog method for the evolution Boussinesq equations ⋮ An unconditionally stable modified leapfrog method for Maxwell's equation in Kerr-type nonlinear media ⋮ A novel linear, unconditional energy stable scheme for the incompressible Cahn-Hilliard-Navier-Stokes phase-field model ⋮ New efficient time-stepping schemes for the Navier-Stokes-Cahn-Hilliard equations ⋮ Three linear, unconditionally stable, second order decoupling methods for the Allen-Cahn-Navier-Stokes phase field model

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