An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach

DOI10.1016/j.jcp.2014.02.011zbMath1362.76060OpenAlexW2035657531MaRDI QIDQ398037

Mohammad Hasan, H. S. Yoon

Publication date: 12 August 2014

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.02.011

zbMATH Keywords

two-phase flowunbounded domainphase fieldoutflow boundary conditiontwo-phase outflow

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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Cites Work

• Unnamed Item
• A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains
• A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios
• An eigen-based high-order expansion basis for structured spectral elements
• On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows
• Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
• Spontaneous shrinkage of drops and mass conservation in phase-field simulations
• An efficient moving mesh spectral method for the phase-field model of two-phase flows
• Numerical solution of problems on unbounded domains. A review
• Computation of multiphase systems with phase field models.
• De-aliasing on non-uniform grids: algorithms and applications.
• A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
• Calculation of two-phase Navier-Stokes flows using phase-field modeling
• A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
• High-order local non-reflecting boundary conditions: a review
• An unconditionally stable rotational velocity-correction scheme for incompressible flows
• THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
• A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
• Sharp-interface limit of the Cahn–Hilliard model for moving contact lines
• Quasi–incompressible Cahn–Hilliard fluids and topological transitions
• Résumé and remarks on the open boundary condition minisymposium
• Velocity-Correction Projection Methods for Incompressible Flows
• Contact-line dynamics of a diffuse fluid interface
• A diffuse-interface method for simulating two-phase flows of complex fluids
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result
• Spectral/hp Element Methods for Computational Fluid Dynamics
• M<scp>ODELING</scp> A<scp>RTIFICIAL</scp> B<scp>OUNDARY</scp> C<scp>ONDITIONS FOR</scp> C<scp>OMPRESSIBLE</scp> F<scp>LOW</scp>