TY - JOUR ID - Warmowska2006 LB - Warmowska2006 AU - Warmowska, Monika TI - Numerical simulation of liquid motion in a partly filled tank ST - Numerical simulation of liquid motion in a partly filled tank JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2006 VL - 26 IS - 3 SP - 529 EP - 540 DO - http://dx.doi.org/10.7494/OpMath.2006.26.3.529 UR - http://dx.doi.org/10.7494/OpMath.2006.26.3.529 AB - 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. KW - nonlinear boundary value problems KW - linear elliptic equations KW - sloshing KW - free-surface potential flows SN - 1232-9274 ER -