Pattern formation in weakly damped parametric surface waves
نویسندگان
چکیده
منابع مشابه
Pattern formation in weakly damped parametric surface waves
We present a theoretical study of nonlinear pattern formation in parametric surface waves for fluids of low viscosity, and in the limit of large aspect ratio. The analysis is based on a quasi-potential approximation to the equations governing fluid motion, followed by a multiscale asymptotic expansion in the distance away from threshold. Close to onset, the asymptotic expansion yields an amplit...
متن کاملPattern formation in weakly damped parametric surface waves driven by two frequency components
A quasi-potential approximation to the Navier–Stokes equation for low-viscosity fluids is developed to study pattern formation in parametric surface waves driven by a force that has two frequency components. A bicritical line separating regions of instability to either of the driving frequencies is explicitly obtained, and compared with experiments involving a frequency ratio of 1/2. The proced...
متن کاملNumerical study of pattern formation in weakly damped parametric surface waves
We present a numerical study of parametrically driven surface waves in uids of low viscosity. The equations governing uid motion in the bulk and the appropriate boundary conditions at the free surface are approximated by a nonlocal set of equations involving surface coordinates alone, thus allowing the numerical analysis of the large aspect ratio limit (the aspect ratio being the ratio between ...
متن کاملPattern formation in weakly dampedparametric surface wavesBy
We present a theoretical study of nonlinear pattern formation in parametric surface waves for uids of low viscosity, and in the limit of large aspect ratio. The analysis is based on a quasi-potential approximation to the equations governing uid motion, followed by a multiscale asymptotic expansion in the distance away from threshold. Close to onset, the asymptotic expansion yields an amplitude ...
متن کاملPattern formation in weakly dampedparametric surface waves driven by twofrequency componentsBy
A quasi-potential approximation to the Navier-Stokes equation for low viscosity uids is developed to study pattern formation in parametric surface waves driven by a force that has two frequency components. A bicritical line separating regions of instability to either one of the driving frequencies is explicitly obtained, and compared with experiments involving a frequency ratio of 1/2. The proc...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 1997
ISSN: 0022-1120,1469-7645
DOI: 10.1017/s0022112096004764