Abstract
A numerical prediction method has been proposed to predict non-linear free surface oscillation in a three-dimensional container. The fluid motions are numerically predicted with Navier-Stokes equations discretized in a Lagrangian scheme with sufficient numerical accuracy. The profile of a free surface is precisely represented with three-dimensional body-fitted coordinates (BFC), which are regenerated in each computational step on the basis of the arbitrary Lagrangian-Eulerian (ALE) formulation. The computational method was applied to non-linear sloshings and transitions from sloshing to swirling motions. The predicted free surface motions were visualized as sequential image files and animations to understand their dynamic futures
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References
Davis, J. N. T. and Woo, M., OpenGL Programming Guide, (1993), Addison-Wesley Publishing Company.
Harlow, F. H. and Welch, J.E., Numerical Study of Large-amplitude Free-surface Motions, Physics of Fluids, 9–5 (1966).
Hutton, R. E., An Investigation of Resonant, Nonlinear, Nonplanar Free Surface Oscillations of a Fluid, NASA Technical Note D-1870, (1963).
Lamb, H., Hydrodynamics (6th edition), (1932), Cambridge University Press.
Ramaswamy, B., Numerical Simulation of Unsteady Viscous Free Surface Flow, Journal of Computational Physics, 90 (1990), 396–430.
Takizawa, A., Koshizuka, S. and Kondo, S., Generalization of Physical Component Boundary Fitted Co-ordinate (pcbfc) Method for the Analysis of Free-surface Flow, International Journal for Numerical Methods in Fluids, 15 (1992), 1213–1237.
Tanaka, H. and Nakayama, T., A Boundary Element Method for the Analysis of Nonlinear Sloshing in Three-dimensional Containers (in Japanese), Trans. JSME, 57-538 (1991), 1934–1940.
Ushijima, S., Prediction of Thermal Stratification in a Curved Duct with 3D Boundary-fitted Co-ordinates, International Journal for Numerical Methods in Fluids, 19 (1994), 647–665.
Ushijima, S., Arbitrary Lagrangian-Eulerian Numerical Prediction for Local Scour Caused by Turbulent Flows, Journal of Computational Physics, 125 (1996), 71–82.
Ushijima, S., Three-dimensional Arbitrary Lagrangian-Eulerian Numerical Prediction Method for Non-linear Free Surface Oscillation, International Journal for Numeridal Methods in Fluids, 26 (1998), 605–623.
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Author Profile Satoru Ushijima: He received master’s degree in civil engineering in 1984 from Kyoto University and his doctor’s degree from Kyoto University. He worked in Central Research Institute of Electric Power Industry (CRIEPI) from 1984 to April, 2000. From April in 2000, he has been working in the department of Global Environment Engineering in Kyoto University and his current position is an associate professor. His recent researches are related to the development and application of CFD techniques to multiphase and other complicated flows.
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Ushijima, S. Numerical visualization of free surface oscillation predicted with arbitrary Lagrangian-Eulerian method. J Vis 3, 237–244 (2000). https://doi.org/10.1007/BF03181846
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DOI: https://doi.org/10.1007/BF03181846