Highly efficient and unconditionally energy stable semi-discrete time-marching numerical scheme for the two-phase incompressible flow phase-field system with variable-density and viscosity

DOI10.1007/s11425-021-1932-xzbMath1504.65190OpenAlexW4220738442MaRDI QIDQ2106847

Xiao-Feng Yang, Chuanjun Chen

Publication date: 29 November 2022

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-021-1932-x

zbMATH Keywords

Navier-Stokes equationsCahn-Hilliard equationenergy stabilitytime marchingvariable-densitydecoupled

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Stability and Convergence of Stabilized Finite Volume Iterative Methods for Steady Incompressible MHD Flows with Different Viscosities ⋮ Decoupled and unconditionally energy stable finite element schemes for electrohydrodynamic model with variable density ⋮ A linear, second-order accurate, positivity-preserving and unconditionally energy stable scheme for the Navier-Stokes-Poisson-Nernst-Planck system ⋮ The subdivision-based IGA-EIEQ numerical scheme for the Cahn-Hilliard-Darcy system of two-phase Hele-Shaw flow on complex curved surfaces ⋮ Error analysis of vector penalty-projection method with second order accuracy for incompressible magnetohydrodynamic system ⋮ Unnamed Item

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