Computer-based multimodal modeling of liquid sloshing in a circular cylindrical tank

by    I. Gavrilyuk, M. Hermann, I. Lukovsky, D. Ovchynnykov, A. Timokha

Preprint series: 10-03, Reports on Numerical Mathematics

Preprint series: , Reports on Numerical Mathematics

35J20 Variational methods for second-order, elliptic equations
65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

Abstract: By employing the nonlinear multimodal technique, the paper proposes an algorithm and computer code (SLOSHER) for derivation of asymptotic [third-order] nonlinear modal systems describing the nonlinear liquid sloshing in a vertical circular cylindrical tank. Applicability of the code is demonstrated for the benchmark modal system by Lukovsky (1990). A novel nonlinear modal system which takes into account most principal third-order modes is derived.

Keywords: Liquid sloshing, cylindrical tank, nonlinear multimodal methods

Upload: 2010-05-12

Update: 2010 -05 -12

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