A Darcy law for the drift velocity in a twophase flow model
Abstract
This work deals with the design and numerical approximation of an Eulerian mixture model for the simulation of twophase dispersed flows. In contrast to the more classical twofluid or Driftflux models, the influence of the velocity disequilibrium is taken into account through dissipative secondorder terms characterized by a Darcy law for the relative velocity. As a result, the convective part of the model is always unconditionally hyperbolic. We show that this model corresponds to the firstorder equilibrium approximation of classical twofluid models. A finite volume approximation of this system taking advantage of the hyperbolic nature of the convective part of the model and of the particular structural form of the dissipative part is proposed. Numerical applications are presented to assess the capabilities of the model.
 Authors:
 INRIA, B.P. 93, 06902 Sophia Antipolis Cedex (France). Email: Herve.Guillard@sophia.inria.fr
 Institut de Radioprotection et de Surete Nucleaire (IRSN), BP313115 St. PaullezDurance Cedex (France)
 Publication Date:
 OSTI Identifier:
 20991582
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Computational Physics; Journal Volume: 224; Journal Issue: 1; Other Information: DOI: 10.1016/j.jcp.2007.02.025; PII: S00219991(07)000769; Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; COMPUTERIZED SIMULATION; DARCY LAW; FLUIDS; MATHEMATICAL MODELS; MIXTURES; TWOPHASE FLOW; VELOCITY
Citation Formats
Guillard, H., and Duval, F. A Darcy law for the drift velocity in a twophase flow model. United States: N. p., 2007.
Web. doi:10.1016/j.jcp.2007.02.025.
Guillard, H., & Duval, F. A Darcy law for the drift velocity in a twophase flow model. United States. doi:10.1016/j.jcp.2007.02.025.
Guillard, H., and Duval, F. Sun .
"A Darcy law for the drift velocity in a twophase flow model". United States.
doi:10.1016/j.jcp.2007.02.025.
@article{osti_20991582,
title = {A Darcy law for the drift velocity in a twophase flow model},
author = {Guillard, H. and Duval, F.},
abstractNote = {This work deals with the design and numerical approximation of an Eulerian mixture model for the simulation of twophase dispersed flows. In contrast to the more classical twofluid or Driftflux models, the influence of the velocity disequilibrium is taken into account through dissipative secondorder terms characterized by a Darcy law for the relative velocity. As a result, the convective part of the model is always unconditionally hyperbolic. We show that this model corresponds to the firstorder equilibrium approximation of classical twofluid models. A finite volume approximation of this system taking advantage of the hyperbolic nature of the convective part of the model and of the particular structural form of the dissipative part is proposed. Numerical applications are presented to assess the capabilities of the model.},
doi = {10.1016/j.jcp.2007.02.025},
journal = {Journal of Computational Physics},
number = 1,
volume = 224,
place = {United States},
year = {Sun May 20 00:00:00 EDT 2007},
month = {Sun May 20 00:00:00 EDT 2007}
}

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