Linear and Weakly Non-Linear Analysis of Wind Driven Gravity Waves

Details Linear and Weakly Non-Linear Analysis of Wind Driven Gravity Waves Linear and Weakly Non-Linear Analysis of Wind Driven Gravity Waves

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001aps..dfd.aj004a&link_type=abstract

American Physical Society, 54th Annual Meeting of the Division of Fluid Dynamics November 18 - 20, 2001 San Diego, California Me

Physics

Fluid Dynamics

Scientific paper

We generalize the formulation for the generation of gravity waves by Miles('57) for air over water case to arbitrary density ratio and wind strength. The motivation comes from an astrophysical problem in which mixing at the material interface between two fluids becomes essential to the stellar evolution. Using different wind profiles we provide the instability boundaries in the parameter space of density ratio, potential to kinetic energy ratio and wave number. We compare with the classical Kelvin Helmholtz instability and explore their differences. Also, assuming small but finite amplitude for the perturbation we derive the amplitude equations in the weakly nonlinear regime. The nonlinearity first appears inside the critical layer and this leads to a weakly non-linear development of a critical layer coupled to a linear gravity wave. Long time evolution and supercriticality can then be determined.

Affiliated with

Also associated with

No associations

Rating

Linear and Weakly Non-Linear Analysis of Wind Driven Gravity Waves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Linear and Weakly Non-Linear Analysis of Wind Driven Gravity Waves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear and Weakly Non-Linear Analysis of Wind Driven Gravity Waves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1235188