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Nonlinear analysis of liquid motion in a container subjected to forced pitching oscillation
Author(s) -
Nakayama Tsukasa,
Washizu Kyuichiro
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620150808
Subject(s) - inviscid flow , nonlinear system , mathematics , discretization , finite element method , boundary value problem , mathematical analysis , numerical analysis , container (type theory) , oscillation (cell signaling) , finite difference method , equations of motion , mechanics , classical mechanics , physics , engineering , genetics , quantum mechanics , biology , thermodynamics , mechanical engineering
A nonlinear analysis is carried out for the motion of the inviscid, incompressible fluid in a two‐dimensional, rigid, open container which is subjected to forced sinusoidal pitching oscillation. Firstly, the problem is defined as a nonlinear initial‐boundary value problem by the use of a governing differential equation and boundary conditions. Next, the problem is formulated in the form of a pseudo‐variational principle, which provides a basis for our discretization. The finite element method and finite difference method are used spacewise and timewise, respectively. Due to the strong nonlinearity of the problem, an incremental method is used for the numerical analysis. Numerical results obtained by the present method are compared with solutions of the linear theory and experimental data. The difference between linear and nonlinear analysis has been clearly indicated.