Two-phase flow with mass density contrast: Stable schemes for a thermodynamic consistent and frame-indifferent diffuse-interface model

Journal Article · Wed Jan 15 00:00:00 EST 2014 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2013.10.028· OSTI ID:22230850

Klingbeil, F.

In this paper, we present a numerical scheme for the diffuse-interface model in [3] for two-phase flow of immiscible, incompressible fluids. As that model is in particular consistent with thermodynamics, energy estimates are expected to carry over to the discrete setting. By a subtle discretization of the convective coupling with the flux of the phase-field in the momentum equation, we prove discrete consistency with thermodynamics. Numerical experiments in two spatial dimensions – ranging from Rayleigh–Taylor instability to a comparison with previous modeling approaches – indicate the full practicality of our scheme and enable a first validation of the new modeling approach in [3].

• OSTI ID: 22230850
• Journal Information: Journal of Computational Physics, Vol. 257, Issue Part A; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY
EQUATIONS
FINITE ELEMENT METHOD
FLUIDS
INSTABILITY
INTERFACES
MASS
SIMULATION
THERMODYNAMICS
TWO-PHASE FLOW
VALIDATION