Investigation of the forced vibrations of a liquid in a cavity. (English. Russian original) Zbl 0522.76019
Sov. Appl. Mech. 18, 482-487 (1982); translation from Prikl. Mekh. 18, No. 5, 105-110 (1982).
MSC:
| 76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |
| 70K40 | Forced motions for nonlinear problems in mechanics |
| 76M99 | Basic methods in fluid mechanics |
| 65N22 | Numerical solution of discretized equations for boundary value problems involving PDEs |
Keywords:
sloshing; free surface flow; explicit and homogeneous scheme; forced oscillations of ideal liquid; partially fills movable rectangular cavity; bottom of arbitrary shape; arbitrary translational motion on horizontal plane; shallow water theory; inertial force; gravitational force; pressure force; velocity vector; order of approximation \(o(\delta x + \delta t)\) numerical examples; uniformly acceleratedReferences:
| [1] | N. B. Kochin, I. A. Kibel’, and N. V. Roze, Theoretical Hydromechanics [in Russian], Vol. 1, Gostekhteorizdat, Moscow (1948). |
| [2] | G. B. Whitham, Linear and Nonlinear Waves, Wiley (1974). · Zbl 0373.76001 |
| [3] | R. D. Richtmyer and K. W. Morton, Difference Methods for Initial-Value Problems, Wiley (1976). · Zbl 0155.47502 |
| [4] | S. K. Godunov and V. S. Ryaben’kii, Difference Schemes [in Russian], Nauka, Moscow (1973). |
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