An energy dissipative semi-discrete finite-difference method on staggered meshes for the 3D compressible isothermal Navier-Stokes-Cahn-Hilliard equations

DOI10.3934/jcd.2020012zbMath1446.65060OpenAlexW3042395950MaRDI QIDQ2194424

Vladislav Balashov, Alexander Zlotnik

Publication date: 26 August 2020

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

Full work available at URL: https://doi.org/10.3934/jcd.2020012

zbMATH Keywords

finite-difference methodNavier-Stokes-Cahn-Hilliard equationsstaggered meshesenergy dissipative spatial discretizationFlory-Huggins potentialquasi-hydrodynamic regularizationtwo-component two-phase flows

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Liquid-liquid two component flows (76T06)

Related Items (7)

On the properties of a quasihydrodynamic system of equations for a homogeneous gas mixture with a common regularizing velocity ⋮ Numerical algorithm based on regularized equations for incompressible flow modeling and its implementation in OpenFOAM ⋮ 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 ⋮ On a new spatial discretization for a regularized 3D compressible isothermal Navier-Stokes-Cahn-Hilliard system of equations with boundary conditions ⋮ $L^2$-диссипативность разностных схем для регуляризованных $\mathrm{1D}$ баротропных уравнений движения газа при малых числах Маха ⋮ On \(L^2\)-dissipativity of a linearized scheme on staggered meshes with a regularization for 1D barotropic gas dynamics equations

Uses Software

• QHDFoam

Cites Work

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