Opuscula Math. 26, no. 3 (2006), 529-540

Opuscula Mathematica

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.

Full text (pdf)

  • Monika Warmowska
  • Polski Rejestr Statków S.A., Al. Gen. J. Hallera 126, 80-316 Gdańsk, Poland
  • Received: 2005-10-03.
Opuscula Mathematica - cover

Cite this article as:
Monika Warmowska, Numerical simulation of liquid motion in a partly filled tank, Opuscula Math. 26, no. 3 (2006), 529-540

Download this article's citation as:
a .bib file (BibTeX),
a .ris file (RefMan),
a .enw file (EndNote)
or export to RefWorks.

In accordance with EU legislation we advise you this website uses cookies to allow us to see how the site is used. All data is anonymized.
All recent versions of popular browsers give users a level of control over cookies. Users can set their browsers to accept or reject all, or certain, cookies.