Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model

DOI10.1051/m2an/2014033zbMath1310.76092arXiv1307.8248OpenAlexW3102792546MaRDI QIDQ4981957

Tristan Pryer, Jan Giesselmann

Publication date: 23 March 2015

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.8248

zbMATH Keywords

phase transitionCahn-Hilliarddiscontinuous Galerkin finite element methodAllen-CahnmimeticNavier-Stokes-Kortewegquasi-incompressibilityenergy consistent

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) KdV equations (Korteweg-de Vries equations) (35Q53) Multiphase and multicomponent flows (76T99) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Capillarity (surface tension) for incompressible viscous fluids (76D45)

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Uses Software

• DOLFIN

Cites Work

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