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SUMMARY:Diffuse interfaces with compressible fluids\, phase transition and
capillarity
DTSTART;VALUE=DATE-TIME:20161213T084500Z
DTEND;VALUE=DATE-TIME:20161213T093000Z
DTSTAMP;VALUE=DATE-TIME:20211016T184602Z
UID:indico-contribution-580@indico.math.cnrs.fr
DESCRIPTION:Speakers: Richard Saurel (Université Aix-Marseille)\nConventi
onal models of capillary fluids with phase transition consider linked the
rmodynamics and capillarity. Such coupling has serious consequences\, such
as:\n\n- sound propagation\, undefined in some critical regions\,\n\n- ve
ry thin interfaces\, causing serious issues in practical computations.\n\n
In the present talk an approached based on hyperbolic systems with relaxat
ion is promoted to solve interfaces with phase transition and surface tens
ion. The method deals with arbitrary pressure and density jumps. \n\nThe d
iffuse interface model consists in a set of balance equations of mass for
each phase and momentum and energy for the mixture. When simple contact is
considered (in the absence of heat diffusion)\, a volume fraction equatio
n is needed as well. In this frame each phase is compressible and governed
by its own (convex) equation of state\, preserving sound propagation. The
two equations of state are rendered compatible through appropriate consta
nts determined from the phase diagram. Phase change is modeled through Gib
bs free energy relaxation terms. Capillarity is modelled through mass frac
tion gradients at interfaces and is consequently decoupled of thermodynami
cs.\nExamples of cavitating\, flashing and boiling flows with and without
shocks are shown. \n\nLe Métayer\, O.\, & Saurel\, R. (2016). The Noble-A
bel Stiffened-Gas equation of state. Physics of Fluids 28(4)\, 046102\n\n
Saurel\, R.\, Le Metayer\, O. and Boivin\, P. (2016) A general formulation
for cavitating\, boiling and evaporating flows. Computers and Fluids 128\
, 53-64\n\nLe Martelot\, S.\, Saurel\, R. and Nkonga\, B. (2014) Toward th
e direct numerical simulation of boiling flows. Int. J. of Multiphase
Flows 77\, 62-78\n\nLe Martelot\, S.\, Nkonga\,B. and Saurel\, R. (2013) L
iquid and liquid–gas flows at all speeds\, Journal of Computational Phys
ics 255(15)\, 53-82\n\nPetitpas\, F.\, Massoni\, J.\, Saurel\, R.\, Lapebi
e\, E. and Munier\, L. (2009) Diffuse interface model for high speed cavit
ating underwater systems. Int. J. Multiphase Flow 35\, 747-759\n\nSaurel\,
R.\, Petitpas\, F. and Abgrall\, R. (2008) Modeling phase transition in m
etastable liquids. Application to flashing and cavitating flows. Journal o
f Fluid Mechanics\, 607:313-350\n\nhttps://indico.math.cnrs.fr/event/1577/
contributions/580/
LOCATION:Institut Henri Poincaré Amphi Hermite
URL:https://indico.math.cnrs.fr/event/1577/contributions/580/
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