On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows
DOI10.1142/S0218202522500117MaRDI QIDQ5074803
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Publication date: 10 May 2022
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.09353
error estimatesenergy stabilityCahn-Hilliard-Navier-Stokesfully decoupledmultiple scalar auxiliary variables (MSAV)
Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial value problems for nonlinear higher-order PDEs (35G25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Applications to the sciences (65Z05) Numerical analysis (65-XX)
Related Items (9)
Cites Work
- Unnamed Item
- Unnamed Item
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
- An unconditionally energy-stable scheme based on an implicit auxiliary energy variable for incompressible two-phase flows with different densities involving only precomputable coefficient matrices
- Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows
- An overview of projection methods for incompressible flows
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
- The phase field method for geometric moving interfaces and their numerical approximations
- On a SAV-MAC scheme for the Cahn–Hilliard–Navier–Stokes phase-field model and its error analysis for the corresponding Cahn–Hilliard–Stokes case
- Analysis of finite element approximations of a phase field model for two-phase fluids
- Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- Long time stability and convergence for fully discrete nonlinear galerkin methods
- On the error estimates for the rotational pressure-correction projection methods
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
- New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
- Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations
- On Convergent Schemes for Diffuse Interface Models for Two-Phase Flow of Incompressible Fluids with General Mass Densities
- Numerical Solution of the Navier-Stokes Equations
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