On a new spatial discretization for a regularized 3D compressible isothermal Navier-Stokes-Cahn-Hilliard system of equations with boundary conditions

DOI10.1007/s10915-020-01388-6zbMath1475.65063OpenAlexW3125634436MaRDI QIDQ2027929

Vladislav Balashov, Alexander Zlotnik

Publication date: 28 May 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01388-6

zbMATH Keywords

finite-difference methodNavier-Stokes-Cahn-Hilliard equationsinterface effectsenergy dissipative spatial discretizationFlory-Huggins potentialviscous isothermal two-component two-phase flows

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) A priori estimates in context of PDEs (35B45) Finite difference methods for boundary value problems involving PDEs (65N06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Liquid-liquid two component flows (76T06)

Related Items

On the properties of a quasihydrodynamic system of equations for a homogeneous gas mixture with a common regularizing velocity ⋮ On the construction of regularized equations of motion for a mixture of viscous incompressible fluids ⋮ On properties of aggregated regularized systems of equations for a homogeneous multicomponent gas mixture ⋮ A regularized isothermal phase-field model of two-phase solid-fluid mixture and its spatial dissipative discretization equations ⋮ Dissipative spatial discretization of a phase field model of multiphase multicomponent isothermal fluid flow ⋮ CORRECTION TO THE PAPER: AN ENERGY DISSIPATIVE SPATIAL DISCRETIZATION FOR THE REGULARIZED COMPRESSIBLE NAVIER-STOKES-CAHN-HILLIARD SYSTEM OF EQUATIONS (IN MATH. MODEL. ANAL., 25(1): 110–129, HTTPS://DOI.ORG/10.3846/MMA.2020.10577)

Uses Software

• QHDFoam

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