Isogeometric analysis of the Navier-Stokes-Cahn-Hilliard equations with application to incompressible two-phase flows

DOI10.1016/j.jcp.2017.07.029zbMath1380.76039OpenAlexW2596696733MaRDI QIDQ1694615

Babak S. Hosseini, Stefan Turek, Matthias Möller, Christian Palmes

Publication date: 6 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.07.029

zbMATH Keywords

two-phase flowRayleigh-Taylor instabilityB-splinesisogeometric analysisNURBSisogeometric finite elementsNavier-Stokes-Cahn-Hilliard equationsrising bubbleCahn-Hilliard phase field model

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (17)

Entropy-stable discontinuous Galerkin approximation with summation-by-parts property for the incompressible Navier-Stokes/Cahn-Hilliard system ⋮ A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow ⋮ A lattice Boltzmann formulation of the one-fluid model for multiphase flow ⋮ Floating isogeometric analysis ⋮ A new energy stable fractional time stepping scheme for the Navier-Stokes/Allen-Cahn diffuse interface model ⋮ An entropy-stable p-adaptive nodal discontinuous Galerkin for the coupled Navier-Stokes/Cahn-Hilliard system ⋮ Isogeometric analysis of a phase field model for Darcy flows with discontinuous data ⋮ High-order discontinuous Galerkin approximation for a three-phase incompressible Navier-Stokes/Cahn-Hilliard model ⋮ Time-periodic solution to the compressible Navier-Stokes/Allen-Cahn system ⋮ Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model ⋮ On the application of isogeometric finite volume method in numerical analysis of wet-steam flow through turbine cascades ⋮ The stabilized penalty-projection finite element method for the Navier-Stokes-Cahn-Hilliard-Oono system ⋮ A fictitious domain approach for a mixed finite element method solving the two-phase Stokes problem with surface tension forces ⋮ Rayleigh-Taylor and Richtmyer-Meshkov instabilities: a journey through scales ⋮ Uniform regularity of the weak solution to higher-order Navier-Stokes-Cahn-Hilliard systems ⋮ Elasto-capillary fluid-structure interaction with compound droplets ⋮ How Do Degenerate Mobilities Determine Singularity Formation in Cahn--Hilliard Equations?

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