A numerical method for the simulation of steady and unsteady cavitating flows

Ventikos, Yiannis; Tzabiras, G.

doi:10.1016/s0045-7930(98)00061-9

Cited by 76 publications

(37 citation statements)

References 14 publications

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“…The liquid-vapour mixture is considered as a single uid in which the density varies from the liquid one to the vapour 137 one, with respect to the local static pressure. The main numerical challenge of this approach results from the di culty to manage both an almost incompressible state in the pure vapour or pure liquid phases, and a highly compressible state in the liquid/vapour transition zone [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of cavitating flow in 2D and 3D inducer geometries

Coutier-Delgosha¹,

Patella²,

Reboud³

et al. 2005

Int. J. Numer. Meth. Fluids

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SUMMARYA computational method is proposed to simulate 3D unsteady cavitating ows in spatial turbopump inducers. It is based on the code FineTurbo, adapted to take into account two-phase ow phenomena. The initial model is a time-marching algorithm devoted to compressible ow, associated with a lowspeed preconditioner to treat low Mach number ows. The presented work covers the 3D implementation of a physical model developed in LEGI for several years to simulate 2D unsteady cavitating ows. It is based on a barotropic state law that relates the uid density to the pressure variations. A modiÿcation of the preconditioner is proposed to treat e ciently as well highly compressible two-phase ow areas as weakly compressible single-phase ow conditions. The numerical model is applied to time-accurate simulations of cavitating ow in spatial turbopump inducers. The ÿrst geometry is a 2D Venturi type section designed to simulate an inducer blade suction side. Results obtained with this simple test case, including the study of its general cavitating behaviour, numerical tests, and precise comparisons with previous experimental measurements inside the cavity, lead to a satisfactory validation of the model. A complete three-dimensional rotating inducer geometry is then considered, and its quasi-static behaviour in cavitating conditions is investigated. Numerical results are compared to experimental measurements and visualizations, and a promising agreement is obtained.

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Section: Introductionmentioning

confidence: 99%

Numerical simulation of cavitating flow in 2D and 3D inducer geometries

Coutier-Delgosha¹,

Patella²,

Reboud³

et al. 2005

Int. J. Numer. Meth. Fluids

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“…To close the description for the two-phase mixture and for the compressible water physical mixture properties can be obtained from for example tabulated steam tables for ρ = 1/v(p, h), e = e(h, p), see Ventikos & Tzabiras [211]. Others employed a different equation of state for the description of the liquid.…”

Section: • Transport Equation-based Methods (Tem)mentioning

confidence: 99%

Numerical simulation of unsteady three-dimensional sheet cavitation

Koop¹

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“…Two formulations have been reported, one that only uses volume fractions for the liquid and vapour [14] and one that accounts for the non-dissolved gases [13]. Alternative methods [19][20][21][22] use a formulated equation of state to compute the mixture density rather than a diffusion equation. In this study the transport approach has been chosen because of its greater flexibility.…”

Section: Cavitation Modellingmentioning

confidence: 99%

A dual‐time central‐difference interface‐capturing finite volume scheme applied to cavitation modelling

Gough

Gaitonde

Jones

2011

Numerical Methods in Fluids

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SUMMARYThis paper describes a central-difference interface-capturing scheme applied to the prediction of flows with cavitation. Compressible cavitation schemes based on standard central-difference solvers have been previously described, but the current scheme uses an incompressible formulation only previously implemented with an upwind solver. The central-difference solver offers significant advantages in computational time compared with upwind schemes. Regions of cavitation are captured rather than tracked. This means that there is no need for complex tracking and reconstruction procedures for the interface of the cavitation region. The use of such schemes on an arbitrarily unstructured mesh is no more complicated than on its structured counterpart. Results for a number of test cases are presented, with comparisons made with both experimental data and other numerical solutions.

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A numerical method for the simulation of steady and unsteady cavitating flows

Cited by 76 publications

References 14 publications

Numerical simulation of cavitating flow in 2D and 3D inducer geometries

Numerical simulation of cavitating flow in 2D and 3D inducer geometries

Numerical simulation of unsteady three-dimensional sheet cavitation

A dual‐time central‐difference interface‐capturing finite volume scheme applied to cavitation modelling

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