A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios
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Publication:385896
DOI10.1016/j.jcp.2012.04.041zbMath1277.76118OpenAlexW2086681684MaRDI QIDQ385896
Publication date: 12 December 2013
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2012.04.041
spectral element methodCahn-Hilliard equationlarge density ratiophase field approachtime stepping scheme
PDEs in connection with fluid mechanics (35Q35) Multiphase and multicomponent flows (76T99) Spectral methods applied to problems in fluid mechanics (76M22)
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Cites Work
- Unnamed Item
- Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
- A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line
- Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows
- Energy law preserving \(C^0\) finite element schemes for phase field models in two-phase flow computations
- Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
- Spontaneous shrinkage of drops and mass conservation in phase-field simulations
- Three-dimensional, fully adaptive simulations of phase-field fluid models
- A splitting method for incompressible flows with variable density based on a pressure Poisson equation
- An efficient moving mesh spectral method for the phase-field model of two-phase flows
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A front-tracking method for viscous, incompressible multi-fluid flows
- Computation of multiphase systems with phase field models.
- A continuous surface tension force formulation for diffuse-interface models
- 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
- An overview of projection methods for incompressible flows
- Diffuse interface model for incompressible two-phase flows with large density ratios
- An unconditionally stable rotational velocity-correction scheme for incompressible flows
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
- Motion of two superposed viscous fluids
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- Velocity-Correction Projection Methods for Incompressible Flows
- L<scp>EVEL</scp> S<scp>ET</scp> M<scp>ETHODS FOR</scp> F<scp>LUID</scp> I<scp>NTERFACES</scp>
- 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
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Spectral/hp Element Methods for Computational Fluid Dynamics