Nonlinear analysis of liquid motion in a container subjected to forced pitching oscillation. (English) Zbl 0438.76012


76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
49S05 Variational principles of physics
65N06 Finite difference methods for boundary value problems involving PDEs
65Z05 Applications to the sciences
Full Text: DOI


[1] Moiseev, Appl. Maths and Mechs (PMM) 22 pp 860– (1958)
[2] ’An investigation of resonant, nonlinear, nonplanar free surface oscillations of a fluid’, NASA TN D-1870 (1963).
[3] ’Finite element analysis of fluid motion in a container’, in Finite Element Methods in Flow Problems (Eds. , and ), UAH Press, Huntsville, 1974, pp. 737-738.
[4] and , ’Some applications of the finite-element method to fluid mechanics’, in Theoretical and Applied Mechanics (Proc. 22nd Japan National Congr. for Applied Mechanics), University of Tokyo Press, Tokyo, 1974, pp. 143-154.
[5] and , ’Application of the finite element method to some free surface fluid problems’, in Finite Elements in Water Resources (Eds. and ), Pentech Press, London, 1978, pp. 4.247-4.266.
[6] ’The dynamics of liquids in fixed and moving containers’, NASA CR-941 (1968).
[7] ’The dynamic behavior of liquids in moving containers’, NASA SP-106 (1966).
[8] Higuchi, Nippon Kokan Tech. Rep. 72 pp 111– (1976)
[9] Faltinsen, J. Ship Res. 18 pp 224– (1974)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.