The second gradient method for the direct numerical simulation of liquid—vapor flows with phase change

By D. Jamet, O. Lebaigue, N. Coutris, J. Delhaye. 2001

304 citations recorded by the source corpus.

Subfields: Atmospheric Science, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/0411b91d6d5a4b29ef911bf3f4948b98f94ef5e7

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In Atmospheric Science

In Computational Mechanics

Citations in the corpus

Élaboration des lois d'état d'un liquide et de sa vapeur pour les modèles d'écoulements diphasiques Elaborating equations of state of a liquid and its vapor for two-phase flow models (2004, background): “[2] D.”
A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework (2006, unknown): “All rights reserved. doi:10.1016/j.jcp.2005.08.004 * Corresponding author.”
Modelling evaporation fronts with reactive Riemann solvers (2005, background): “In this way, several works have been achieved where the front is solved theoretically [1,22,34,38] or numerically [14, 20 ].”
On the theory and computation of surface tension: the elimination of parasitic currents through energy conservation in the second-gradient method (2002, unknown): “For liquid–vapor interfaces, the second-gradient method, which is based on van der Waals’ theory of capillarity, can be used to model flows with phase change [9].”
Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations (2010, background): “Probably, the most successful attempt to date was proposed by Jamet [39], but we feel that there is still opportunity for improvement.”
Existence of Global Weak Solution for Compressible Fluid Models of Korteweg Type (2009, unknown): “The model we consider originates from the XIXth century work by van der Waals and Korteweg [13] and was actually derived in its modern form in the 1980s using the second gradient theory, see for instance [12, 20].”
Modelling phase transition in metastable liquids: application to cavitating and flashing flows (2008, background): “To do practical simulations, at the scale of an individual bubble for example, the interface has to be thickened (Jamet et al. 2001).”
A lattice Boltzmann model for multiphase flows with large density ratio (2006, methodology): “[10] about different features of the different pressure tensor forms.”
Accurate representation of surface tension using the level contour reconstruction method (2005, methodology): “Methods for advecting interfaces in two-phase flows include the volume of fluid (VOF) [1], level set [9], front tracking [7,23–25], phase field [5] and lattice Boltzmann methods [2], to name a few.”
Existence of global strong solution and vanishing capillarity-viscosity limit in one dimension for the Korteweg system (2011, methodology): “The model we consider originates from the XIXth century work by Van der Waals and Korteweg VW,fK [38, 22] and was actually derived in its modern form in the 1980s using the second gradient theory, see for instance fDS,fJL,fTN [9, 20, 37].”
On the well-posedness for the Euler-Korteweg model in several space dimensions (2007, methodology): “We call Korteweg model a system of conservation laws governing the motion of liquid-vapor mixtures, which takes into account the surface tension of interfaces by means of a capillarity coefficient; see [16] and [11] for the early developments of the theory of capillarity, and for instance [18, 9] fo”