Numerical simulation of liquid motion in a partly filled tank

• Autorzy: Warmowska M.
• Języki publikacji: EN

Abstrakty

EN

The paper presents the problem of liquid motion in a 2D partly filled tank. It is assumed that the flow of liquid in tank is a potential, hence it can be described by Laplace equations with appropriate boundary conditions. The problem is solved using the boundary element method. The developed numerical algorithm makes it possible to determine the free surface elevation, the velocity field and the pressure field during the liquid motion in the tank. The area occupied by liquid is represented by a mesh changing in time. Numerical computations are performed for translatory and rotational motion of the tank. The results of numerical computations are verified by experiment.

Słowa kluczowe

EN

nonlinear boundary value problem; linear elliptic equations; sloshing; free-surface potential flows

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2006
• Tom: Vol. 26, no. 3
• Strony: 529--540
• Opis fizyczny: Bibliogr. 9 poz., rys., wykr.

Twórcy

autor

Warmowska M.

• Polski Rejestr Statków S.A., al. Gen. J. Hallera 126, 80-316 Gdańsk, Poland,

Bibliografia

• [1] M. Arai, LY. Cheng, An Accurate and Stable Method for Computing Sloshing Impact Pressure and it’s Application to the Study of Bulk-Carrier Ballast Tank Sloshing, 9th Symposium on Practical Design of Ships and Other Floating Structures, Germany, 2004.
• [2] D.M. Greaves, A.G.L. Borthwick, G.X. Wu, R.E. Taylor, A Moving Boundary Finite Element Method for Fully Nonlinear Wave Simulations, J. of Ship Research, Vol. 41(1997), 3.
• [3] F.H. Harlow, J.E. Welch, Numerical Calculation of Time-Dependent Viscous Incompressible Flow, Phys. Fluids 8(1965), 2182.
• [4] C.W. Hirt, B.D. Nicholols, Volume of Fluid (VOF) Method for Dynamics of Free Boundaries, J. Comp. Phys. 39(1981), 201.
• [5] O.M. Faltinsen, O.F. Rognebakke, I.A. Lukowski, A.N. Timokha, Multidimensional Modal Analysis of Nonlinear Sloshing in a Rectangular Tank with Finite Water Depth, J. Fluid Mechanic, 407(2000), 201-234.
• [6] H. Marcinkowska, Wstęp do teorii równań różniczkowych cząstkowych, PWN, Poland, 1986.
• [7] D. Potter, Metody obliczeniowe fizyki, PWN, Warszawa, 1977.
• [8] M. Warmowska, Numerical Simulation of 2D Sloshing in a Rotating Rectangular Tank, XXI Sesja Naukowa Okrętowców, Gdańsk, 2004.
• [9] M. Warmowska, Określenie parametrów ruchu cieczy w zbiorniku okrętowym z uwzględnieniem zjawisk nieliniowych, PB No. 5 T12C 057 24, Politechnika Gdańska, Gdańsk, 2005.