[Faculty] Fwd: [CSRC-SDSU COLLOQUIUM]: Surface and Interfacial Waves, Shear, and Point-Vortices

[Jose Castillo]

*- Please note change of speaker. -*

*DATE*:  Friday, September 16th, 2016

*TITLE*: Surface and Interfacial Waves, Shear, and Point-Vortices

*TIME*:  3:30 PM

*LOCATION*:  GMCS 314

*SPEAKER*:  Dr. Christopher Curtis. Assistant Professor, Department of
Mathematics and Statistics. San Diego State University.

*ABSTRACT*:   The computation of surface and interfacial waves is a central
problem in fluid mechanics.  In particular these problems appear when we
want to model sea-states or internal wave dynamics between immiscible
fluids.  While much has been done, the effect of vorticity on surface and
internal wave propagation is still poorly understood.  To address this, we
first look at shallow-water propagation in density stratified fluids with
piecewise linear shear profiles.  We show that by allowing for jumps in the
shear across the interface, relatively stronger nonlinear effects,
including dispersive shock waves, can be seen.  Aside from providing some
insights into more complicated wave-current systems, our approach can be
generalized to any number of layers, and thus the effects of more
complicated shear profiles could be studied.

Second, we study the problem of collections of irrotational point vortices
underneath a free fluid surface.  We present a derivation of a model and
numerical scheme which allows for arbitrary numbers of vortices in a
shallow-water limit.  While we are able to recreate much of the classical
results for how surface waves form over two counter-propagating vortices,
we go beyond this case and look at several examples involving four
vortices.  We discuss a wide range of unreported surface profiles and their
associated energetics.  Again, our approach allows for any number of
vortices to be present, and this lets us provide some hint as to how
underwater eddies might generate free surface waves.

*HOST*:  Dr. Jose Castillo

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Jose E. Castillo  Ph.D.

Director / Professor

Computational Science Research Center

5500 Campanile Dr

San Diego State University

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619 5947205/3430, Fax 619-594-2459

 http://www.csrc.sdsu.edu/mimetic-book/
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