Numerical simulation of liquid motion in a partly filled tank

Monika Warmowska

Abstract. 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.

Keywords: nonlinear boundary value problems, linear elliptic equations, sloshing, free-surface potential flows.

Mathematics Subject Classification: 35J65, 76B10, 76B07.

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