An implicit low-diffusive HLL scheme with complete time linearization: Application to cavitating barotropic flows

Bilanceri, Marco; Beux, F.; Salvetti, Maria Vittoria

doi:10.1016/j.compfluid.2010.07.002

Cited by 15 publications

(5 citation statements)

References 33 publications

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“…Indeed the well known difficulties encountered by compressible flow solvers for low Mach number regimes (cf. [56,57,58,59,23]) represent a critical issue for liquid-gas flows with cavitation and evaporation. This is due to the large and rapid variation of the acoustic impedance in the medium, where highly compressible fluid regions (vapor) and nearly incompressible zones (liquid) coexist and interact.…”

Section: Discussionmentioning

confidence: 99%

A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves

Pelanti

Shyue

2014

Journal of Computational Physics

143

158

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International audienceWe model liquid-gas flows with cavitation by a variant of the six-equation single-velocity two-phase model with stiff mechanical relaxation of Saurel–Petitpas–Berry [J. Comput. Phys. 228 (2009), 1678–1712]. In our approach we employ phasic total energy equations instead of the phasic internal energy equations of the classical six-equation system. This alternative formulation allows us to easily design a simple numerical method that ensures consistency with mixture total energy conservation at the discrete level and agreement of the relaxed pressure at equilibrium with the correct mixture equation of state. Temperature and Gibbs free energy exchange terms are included in the equations as relaxation terms to model heat and mass transfer and hence liquid-vapor transition. The algorithm uses a high-resolution wave propagation method for the numerical approximation of the homogeneous hyperbolic portion of the model. In two dimensions a fully-discretized scheme based on a hybrid HLLC/Roe Riemann solver is employed. Thermo-chemical terms are handled numerically via a stiff relaxation solver that forces thermodynamic equilibrium at liquid-vapor interfaces under metastable conditions. We present numerical results of sample tests in one and two space dimensions that show the ability of the proposed model to describe cavitation mechanisms and evaporation wave dynamics

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Section: Discussionmentioning

confidence: 99%

A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves

Pelanti

Shyue

2014

Journal of Computational Physics

143

158

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“…The approximate Riemann solvers (HLLC and VF Roe) are known to fail when very low densities and pressures near the vacuum appear. An anti-diffusive term can be added to the HLLC dissipation to improve the scheme [74,75]. It has been not tested in the present study.…”

Section: Influence Of the Numerical Schemementioning

confidence: 99%

Numerical study of expansion tube problems: Toward the simulation of cavitation

Goncalves

2013

Computers & Fluids

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“…These models are composed by three conservation laws for mixture quantities (mass, momentum and total energy). This model cannot reproduce strong thermodynamic non equilibrium effects but, because of its simplicity, it is often used for numerical simulations [1,2,3,4,5,6,7,8].…”

mentioning

confidence: 99%

A comparative study of cavitation models in a Venturi flow

Charrière

Decaix

Goncalves

2015

European Journal of Mechanics - B/Fluids

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International audienceThis paper presents a numerical study of an aperiodic cavitation pocket developing in a Venturi flow. The mass transfer between phases is driven by a void ratio transport equation model. A new free-parameter closure relation is proposed and compared with other formulations. The re-entrant jet development, void ratio profiles and pressure fluctuations are analysed to discern results accuracy. Comparisons with available experimental data are done and good agreement is achieved

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An implicit low-diffusive HLL scheme with complete time linearization: Application to cavitating barotropic flows

Cited by 15 publications

References 33 publications

A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves

A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves

Numerical study of expansion tube problems: Toward the simulation of cavitation

A comparative study of cavitation models in a Venturi flow

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