Numerical simulation of cavitating flows with homogeneous models

Goncalves, Éric; Patella, Régiane Fortes

doi:10.1016/j.compfluid.2009.03.001

Cited by 168 publications

(111 citation statements)

References 52 publications

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“…It is composed of three conservation laws for mixture quantities completed by an equation for a non-conservative quantity describing the flow topology, usually the void ratio [21,11]. With the assumption of complete thermodynamic equilibrium between phases (local temperature, pressure, and free Gibbs enthalpy equality between phases), the three-equation models or Homogeneous Equilibrium Models (HEM) are derived [12,34].…”

Section: Introductionmentioning

confidence: 99%

Simulation of shock-induced bubble collapse using a four-equation model

2018

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This paper presents a numerical study of the interaction between a planar incident shock wave with a cylindrical gas bubble. Simulations are performed using an inviscid compressible one-fluid solver based upon three conservation laws for the mixture variables, namely mass, momentum, and total energy along with a supplementary transport equation for the volume fraction of the gas phase. The study focuses on the maximum pressure generated by the bubble collapse. The influence of the strength of the incident shock is investigated. A law for the maximum pressure function of the Mach number of the incident shock is proposed.

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Section: Introductionmentioning

confidence: 99%

Simulation of shock-induced bubble collapse using a four-equation model

2018

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“…The speed of sound within the mixture can be represented as a function of the enthalpy of each phase (Goncalves & Patella 2009):…”

Section: A Mixture Of Stiffened Gas Eosmentioning

confidence: 99%

Numerical simulation of unsteady cavitation in liquid hydrogen flows

Goncalves

Zeidan

2017

IJESMS

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An unsteady cavitation model in liquid hydrogen flow is studied in the context of compressible, two-phase, one-fluid inviscid solver. This is accomplished by applying three conservation laws for mixture mass, mixture momentum and total energy along with gas volume fraction transport equation, with thermodynamic effects. Various mass transfers between phases are utilized to study the process under consideration. A numerical procedure is presented for the simulation of cavitation due to rarefaction and shock waves. Attention is focused on cavitation in which the simulated fluid is liquid hydrogen in cryogenic conditions. Numerical results are in close agreement with theoretical solutions for several test cases. The current numerical results show that liquid hydrogen flow can be accurately modeled using an accurate inviscid approach to describe the features of thermodynamic effects on cavitation.Keywords: Two-phase flow; heat and mass transfer; liquid and hydrogen, cavitation; homogeneous model; splitting techniques, inviscid simulation. Reference · · · Biographical notes: Eric Goncalvès is a Professor in the Aeronautical EngineeringSchool ISAE-ENSMA, Poitiers, France. Currently, he is the head of the Department Fluid Mechanics and Aerodynamics. His research interests are related to the modelling and the simulation of flows for which the density is variable such as compressible flow, two-phase flow and cavitation. Recent work include shock wave boundary layer interaction, thermal effects in cavitation and investigation of three-dimensional effects on cavitation pocket. Dia Zeidan is currently a Tenure-track Assistant Professor in the School of Basic Sciences and Humanities at the German Jordanian University, Amman, Jordan. His expertise is in the mathematical modelling and numerical simulations of multiphase fluid flow problems. Recent work also includes hyperbolicity and conservativity resolution related to two-phase flows equations in the context of the Riemann problem and simulations of such flows over a wide range of non-equilibrium behaviours.

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“…The drift flux accounts for the thermodynamic nonequilibrium (metastable conditions can be described) by solving the transport equation of the vapor mass fraction Y (Fig. 3), whereas the homogeneous model is purely empirical and estimates the vapor mass fraction from mixture properties (energy, 19 density, 20 etc.). In the first approach, the vapor mass fraction transport equation reads…”

Section: Standard Approach: the Eulerian Formulationmentioning

confidence: 99%

Stochastic-field cavitation model

2013

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Nonlinear phenomena can often be well described using probability density functions (pdf) and pdf transport models. Traditionally, the simulation of pdf transport requires Monte-Carlo codes based on Lagrangian “particles” or prescribed pdf assumptions including binning techniques. Recently, in the field of combustion, a novel formulation called the stochastic-field method solving pdf transport based on Eulerian fields has been proposed which eliminates the necessity to mix Eulerian and Lagrangian techniques or prescribed pdf assumptions. In the present work, for the first time the stochastic-field method is applied to multi-phase flow and, in particular, to cavitating flow. To validate the proposed stochastic-field cavitation model, two applications are considered. First, sheet cavitation is simulated in a Venturi-type nozzle. The second application is an innovative fluidic diode which exhibits coolant flashing. Agreement with experimental results is obtained for both applications with a fixed set of model constants. The stochastic-field cavitation model captures the wide range of pdf shapes present at different locations.

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Numerical simulation of cavitating flows with homogeneous models

Cited by 168 publications

References 52 publications

Simulation of shock-induced bubble collapse using a four-equation model

Simulation of shock-induced bubble collapse using a four-equation model

Numerical simulation of unsteady cavitation in liquid hydrogen flows

Stochastic-field cavitation model

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