Finite volume simulation of cavitating flows

Barberon, Thomas; Helluy, Philippe

doi:10.1016/j.compfluid.2004.06.004

Cited by 72 publications

(119 citation statements)

References 23 publications

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“…The positivity of λ and the concavity of s with respect to Y implies that regular solutions of the system satisfies the second principle of thermodynamics s t + us x ≥ 0. (5) In a previous paper [3], we have proposed possible forms for the entropy s(τ, ε, Y ). We have presented some numerical experiments and physical applications of the model (1).…”

Section: Introductionmentioning

confidence: 99%

“…In order to converge towards the entropy solution, numerical methods have also to take into account a discrete version of the entropy criterion. Among the huge quantities of methods that have been proposed to approximate the Euler system, the relaxation approach has proved to be very interesting both on the theoretical and the practical sides [1,3,5,6,[9][10][11]13,23,29,30] etc. The principle is to consider an augmented system, with more unknowns, that is in some sense "more linear" than the original Euler system.…”

Section: Introductionmentioning

confidence: 99%

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Relaxation models of phase transition flows

Helluy¹,

Seguin

2006

ESAIM: M2AN

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Abstract.In this work, we propose a general framework for the construction of pressure law for phase transition. These equations of state are particularly suitable for a use in a relaxation finite volume scheme. The approach is based on a constrained convex optimization problem on the mixture entropy. It is valid for both miscible and immiscible mixtures. We also propose a rough pressure law for modelling a super-critical fluid.Mathematics Subject Classification. 76M12, 65M12.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Relaxation models of phase transition flows

Helluy¹,

Seguin

2006

ESAIM: M2AN

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“…In Figures 6, 7 and 8, we give the result of an academic Riemann problem test case described in [1]. In this case, the two phases satisfy a perfect gas law.…”

Section: Phase Transitionmentioning

confidence: 99%

“…The relaxation parameter λ is a positive matrix. The positivity of λ implies that the second principle of thermodynamics is satisfied by the model (see [1])…”

Section: Modelmentioning

confidence: 99%

Applications of the finite volumes method for complex flows: From the theory to the practice

Helluy¹,

Golay²

2006

Flow Turbulence Combust

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“…In order to investigate thermal effects in LH 2 cryogenic cavitating flows, one-dimensional cavitation tube problems are proposed. Such rarefaction tube problems involving cavitation are one of the most used case to study the behaviour of phase transition models and to test and develop numerical schemes (Saurel & Metayer 2001, Barberon & Helluy 2005, Saurel et al 2008, Zein et al 2010, Causon & Mingham 2013, Spina et al 2014, Pelanti & Shyue 2014. This paper is organized as follows.…”

Section: Introductionmentioning

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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Finite volume simulation of cavitating flows

Cited by 72 publications

References 23 publications

Relaxation models of phase transition flows

Relaxation models of phase transition flows

Applications of the finite volumes method for complex flows: From the theory to the practice

Numerical simulation of unsteady cavitation in liquid hydrogen flows

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