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J. Fluid Mech. (2009), vol. 624, pp. 225253. c 2009 Cambridge University Press doi:10.1017/S002211200800548X Printed in the United Kingdom
 

Summary: J. Fluid Mech. (2009), vol. 624, pp. 225253. c 2009 Cambridge University Press
doi:10.1017/S002211200800548X Printed in the United Kingdom
225
Bragg resonance of waves in a two-layer fluid
propagating over bottom ripples.
Part II. Numerical simulation.
MOHAMMAD-REZA ALAM,
YU M IN G LIU AND DICK K. P. YUE
Department of Mechanical Engineering, Center for Ocean Engineering,
Massachusetts Institute of Technology, Cambridge, MA 02139, USA
(Received 29 November 2007 and in revised form 2 December 2008)
We develop a direct numerical method to study the general problem of nonlinear
interactions of surface/interfacial waves with variable bottom topography in a two-
layer density stratified fluid. We extend a powerful high-order spectral (HOS) method
for nonlinear gravity wave dynamics in a homogeneous fluid to the case of a two-layer
fluid over non-uniform bottom. The method is capable of capturing the nonlinear
interactions among large number of surface/interfacial wave mode and bottom
ripple components up to an arbitrary high order. The method preserves exponential
convergence with respect to the number of modes of the original HOS and the
(approximately) linear effort with respect to mode number and interaction order. The

  

Source: Alam, Mohammad-Reza - Department of Mechanical Engineering, Massachusetts Institute of Technology (MIT)

 

Collections: Engineering