Simulation of Water-Entry and Water-Exit Problems Using a Moving Mesh Algorithm
Simulation of the water-entry and water-exit particularly, at the interface of two phases i.e. water and air due to the effect of flow-induced loads, gravity force and trapped air cushion presence is very complicated. This paper attempts to introduce a finite volume-based moving mesh algorithm in order to simulate such problems in a viscous incompressible two-phase medium.
The algorithm employs a fractional step method to deal with the coupling between pressure and velocity fields. Interface is also captured by solving a volume fraction transport equation. A boundary-fitted body-attached mesh of quadrilateral Control Volumes (CVs) is implemented to record hydrodynamic time histories of loads, motions and interfacial flow changes around the structure. Forced water-exit of a cylinder is simulated based on the introduced algorithm, together with free symmetric and asymmetric water-entry of wedges. Results show that the presented algorithm is favorably capable of assessing such complexities when comparing to experimental data.
Faltinsen, O. M., M. Landrini, M. Greco. Slamming in Marine Applications. J. Eng. Math., 48 (2004), 187-217.
Faltinsen, O. M. Hydroelastic Slamming. J. Marine Sci. Tech., 5 (2000), 49-65.
Bertram, V. Practical Ship Hydrodynamics, Oxford, Butterworth-Heinemann, 2000.
Von Karman, T. H. The Impact on Seaplane Floats During Landing, NACA TN 321, 1929.
Wagner, H. Über Stoss- und Gleitvorgänge an der Oberfläche von Fliissigkeiten. Zeitschrift für angewandte Mathematik und Mechanik, 12 (1932), No. 4, 193-215.
Dobrovolskaya, Z. N. On Some Problems of Similarity Flow of Fluid with a Free Surface. J. Fluid Mech., 36 (1969), 805-829.
Bagnold, R. Interim Report on Wave Pressure Research. J. Inst. Civil Eng., 12 (1939), 202-226.
Verhagen, J. H. G. The Impact of a Flat Plate on a Water Surface. J. Ship Res., 11 (1967), No. 4, 211-223.
Korobkin, A.A., Blunt-Body Impact on a Compressible Liquid Surface. J. Fluid Mech., 244 (1992), 431-453.
Watanabe, I. Analytical Expression of Hydrodynamic Impact Pressure by Matched Asymptotic Expansion Technique. T. West-Japan Soc. Naval Arch., 71, 1986.
Kvaalsvold, J. Hydroelastic Modeling of Wetdeck Slamming, Ph.D. Thesis, Trondheim: Dept. Marine Hydrodynamics NTNU, 1994.
Kvaalsvold, J., Faltinsen, O. M. Hydroelastic Modelling of Wet Deck Slamming on Multihull Vessels. J. Ship Res., 39 (1995), No. 3, 225-239.
Ferziger, J., M. Peric. Computational Methods for Fluid Dynamics, 3rd Rev. Ed., Springer Verlag, 2002.
Panahi, R., M. Shafieefar. A Finite Volume Algorithm Based on Overlapping Meshes for Simulation of Hydrodynamic Problems. J. Marine Sci. Appl., 8 (2009), 281-290.
Panahi, R., M. Shafieefar. Towards a Numerical Hydrodynamics Laboratory by Developing an Overlapping Mesh Solver Based on a Moving Mesh Solver; Verification and Application. Appl. Ocean Res., 32 (2010), No. 3, 308-320.
Panahi, R., E. Jahanbakhsh, M. S. Seif. Development of a VoF Fractional Step Solver for Floating Body Motion Simulation. Appl. Ocean Res., 28 (2006), No. 3, 171-181.
Ubbink, O., R. I. Issa. A Method for Capturing Sharp Fluid Interfaces on Arbitrary Meshes. J. Comp. Phys., 153 (1999), No. 1, 26-50.
White, F.M. Fluid Mechanics, Mc Graw-Hill, 4th Ed., 2001.
Brackbill, J., D. Kothe, C. Zemaach. A Continuum Method for Modelling Surface Tension. J. Comp. Phys., 100 (1992), 335-354.
Panahi, R., E. Jahanbakhsh, M. S. Seif. Comparison of Interface Capturing Methods in Two Phase Flow. Iranian J. Sci. Tech., Transaction B: Technology, 29 (2005), No. B6, 539-548.
Jasak, H. Error Analysis and Estimation for Finite Volume Method with Application to Fluid Flows, PhD Thesis, University of London, 1996.
Jahanbakhsh, E., R. Panahi, M. S. Seif. Numerical Simulation of Three-Dimensional Interfacial Flows. Int. J. Numer. Meth. Heat Fluid Flow, 17 (2007), No. 4, 384-404.
Kim, D., H. Choi. A Second-Order Time-Accurate Finite Volume Method for Unsteady Incompressible Flow on Hybrid Unstructured Grids. J. Comp. Phys., 162 (2000), No. 2, 411-428.
Greenhow, M., W. Lin. Nonlinear Free Surface Effects: Experiments and Theory, Report No. 83-19, Massachusetts Institute of Technology, 1983.
Yettou, E. M., A. Desrochers, Y. Campoux. Experimental Study on the Water Impact of a Symmetrical Wedge. J. Fluid Dynam. Res., 38 (2006), No. 1, 47-66.
Xu, L., A. W. Troesch, R. Petterson. Asymmetric Hydrodynamic Impact and Dynamic Response of Vessels, Proceedings of 17th Int. Conf. Offsh. Mech. Arctic Eng., 98-320, 1998.
Oger, G., M. Doring, B. Allessandrini, P. Ferrant. Two-Dimensional SPH Simulations of Wedge Water Entries. J. Comp. Phys., 213 (2006), No. 2, 803-822.