Abstract
A model for multidimensional compressible twophase flow with pressure and velocity relaxations based on the theory of thermodynamically compatible system is extended to study liquidgas flows with cavitation. The model assumes for each phase its own pressure and velocity, while a common temperature is considered. The governing equations form a hyperbolic system in conservative form and are derived through the theory of a thermodynamically compatible system. The phase pressureequalizing process and the interfacial friction are taken into account in the balance laws for the volume fractions of one phase and for the relative velocity by adding two relaxation source terms, while the phase transition is introduced into the model considering in the balance equation for the mass of one phase the relaxation of the Gibbs free energies of the two phases. A modification of the central finitevolume KurganovNoellePetrova method is adopted in this work to solve the homogeneous hyperbolic part, while the relaxation source terms are treated implicitly. In order to investigate the effect of the mass transfer in the solution, a 1D cavitation tube problem is presented. In addition, two 2D numerical simulations regarding cavitation problem are also studied: a cavitating RichtmyerMeshkov instability and a laserinduced cavitation problem.
Original language  English 

Pages (fromto)  282311 
Number of pages  30 
Journal  International Journal for Numerical Methods in Fluids 
Volume  76 
Issue number  5 
DOIs  
Publication status  Published  20 Oct 2014 
Keywords
 Compressible flow
 Finite volume
 Hyperbolic
 Partial differential equations
 Phase change
 Twophase flows
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Petrology and volcanology
Burton, M. (PI), Hartley, M. (PI), Mccormick Kilbride, B. (PI), Mitchell, N. (PI), Neave, D. (PI), Pawley, A. (PI), Polacci, M. (PI), Biagioli, E. (Researcher), Bonechi, B. (Researcher), Buso, R. (Researcher), Davies, B. (Researcher), Esse, B. (Researcher), Bronziet, J. (PGR student), Delbrel, J. (PGR student), Höhn, M. (PGR student), Kember, A. (PGR student), Pardo Cofrades, A. (PGR student), Sen, R. (PGR student), Stewart, A. (PGR student) & Subbaraman, R. (PGR student)
Project: Research