A spectral method for Faraday waves in rectangular tanks

A theoretical study of Faraday waves in an ideal fluid is presented. A novel spectral technique is used to solve the nonlinear boundary conditions, reducing the system to a set of nonlinear ordinary differential equations for a set of Fourier coefficients. A simple weakly nonlinear theory is derived...

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Veröffentlicht in:	Journal of engineering mathematics 2013-04, Vol.79 (1), p.13-33
Hauptverfasser:	Horsley, David E., Forbes, Lawrence K.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Computational Mathematics and Numerical Analysis Damping Differential equations Dynamical systems Fourier analysis Mathematical analysis Mathematical and Computational Engineering Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Nonlinearity Spectra Tanks Theoretical and Applied Mechanics
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