Document Type : Original Article


Department of Mechanical Engineering, Ferdowsi University of Mashhad



In this paper simulation of cavitating flow over a disk cavitator is reported using computational fluid dynamics (CFD) technique. To apply the cavitation model, the flow has been considered as a single fluid, two-phase mixture. A transport equation model for the local volume fraction of vapor is solved and a finite rate mass transfer model is used for the vaporization and condensation processes based on the Kunz model. The volume of fluid (VOF) method is applied to track the interface of liquid and vapor phases. Our simulation is performed using a two phase solver available in the framework of the OpenFOAM package, namely “interPhaseChangeFoam”. The solver is based on finite volume method. Two different turbulence model, i.e., k-w SST and large eddy simulation (LES) are employed. Simulation is performed for the supercavitation regime. The results of our simulation are compared with the experimental data and analytical expressions and suitable accuracy has been investigated.


Self, M. and Ripken, J. F. Steady state –cavity studies in free-jet water tunnel. St. Anthony Falls Hydrodynamic Laboratory Report 47, 1955.
Weller H.G.  A new approach to VOF-based interface capturing methods for incompressible and compressible flow, Technical Report TR/HGW/04, OpenCFD Ltd., 2008.
Sauer, J. Instationaren kaviterendeStromung – Ein neues Modell, baserend auf Front Capturing (VoF) and Blasendynamik, Ph.D. Thesis, Universitat,
Karlsruhe, 2000
Kunz, R. F., Boger, D. A., Stinebring, D. R., Chyczewski, T. S., Gibeling, H. J., Venkateswaran, S. and Govindan, T. R. A preconditioned Navier-Stokes method for two-phase flows with application to cavitation prediction. J. Comput. Fluids, 2000, 29, 849-875.
Merkle, C. L., Feng, J. Z., and Buelow, P. E. O. Computational modeling of the dynamic of sheet cavitation. In Proceedings of the Third International Symposium on Cavitation, Grenoble, France, 1998, pp. 307-311.
Passandideh-Fard, M., Roohi, E., Transient simulations of cavitating flows using a modified volume-of-fluid (VOF) technique, International Journal of Computational Fluid Dynamics, Volume 22, 2008, Pages 97-114.
Nouri N.M., Moghimi M. and Mirsaeedi S.M.H., Numerical Simulation of Unsteady Cavitating Flow Over a Disk, Proc. IMechE, Vol.224, 2010, pp. 1245-1253
Baradaran Fard, M., Nikseresht, A. H., Numerical simulation of unsteady 3D cavitating flows over axisymmetric cavitators, Scientia Iranica, Transactions B: Mechanical Engineering, Volume 19, 2012, Pages 1258-1264.
Shang, Z. Emerson, D. R. and Xiaojun Gu, Numerical investigations of cavitation around a high speed submarine using OpenFOAM with LES, International Journal of Computational Methods, Volume 9, 2012, 1250040-1250054.
Roohi, E., Zahiri, A. P., Passandideh-Fard, M., Numerical Simulation of Cavitation around a Two-Dimensional Hydrofoil Using VOF Method and LES Turbulence Model, Applied Mathematical Modeling, DOI: 10.1016/j.apm.2012.09.002.
Bensow, R. E. and Bark, G., “Simulating cavitating flows with LES in OpenFOAM” V European Conference on Computational Fluid Dynamics, pp. 14-17 June, 2010.
Lu, N.X., “Large Eddy Simulation of Cavitating Flow on Hydrofoils” licentiate of engineering thesis, Department of Shipping and Marine Technology, Chalmers University of Technology, Göteborg, Sweden, 2010.
Sagaut T, P., 2006, “Large Eddy Simulation for Incompressible  Flows”  Springer, New York, 3rd edition.
Fureby, C., and Grinstein, F., “Large Eddy Simulation of High-Reynolds Number Free and Wall-Bounded Flows” journal of Computational Physics,Vol.181, pp. 68–97,  2002.
Menter, F. R., Two-equation eddy-viscosity turbulence models for engineering applications, AIAA J., 1994, Volume 32, Pages 1598-1605.
Ubbink O., “Numerical prediction of two fluid systems with sharp interfaces" PhD thesis, Imperial College, University of London, UK, 1999.
Issa, R.I., "Solution of the implicitly discretized fluid flow equations by operator-splitting," Journal of Computational Physics, Vol. 62, 40–65, 1986.
Jasak, H., "Error analysis and estimation for the finite volume method with applications to fluid flows," PhD thesis, Imperial College of Science, Technology and Medicine, London, 1996.
Rusche, H., "Computational fluid dynamics of dispersed two-phase flows at high phase fractions," PhD thesis, Imperial College of Science, Technology and Medicine, London, 2002.
Franc, J.P. and Michel J.M., Fundamentals of Cavitation, 115 Kluwer Academic Publisher, Netherlands Section: 6 (2004)