Water waves

Tuesday, February 23, 2010 - 11:30am - 12:15pm
Sijue Wu (University of Michigan)
Keywords: water wave problem
Thursday, July 23, 2009 - 4:00pm - 4:50pm
Nader Masmoudi (New York University)
No Abstract
Thursday, October 16, 2014 - 11:30am - 12:20pm
Alexander Kurganov (Tulane University)
I will describe Riemann-problem-solver-free non-oscillatory central-upwind schemes for hyperbolic systems of conservation laws and show how these schemes can be extended to hyperbolic systems of balance laws. I will focus on the Saint-Venant system and related shallow water models. The main difficulty in this extension is preserving a delicate balance between the flux and source terms. This is especially important in many practical situations, in which the solutions to be captured are (relatively) small perturbations of steady-state solutions.
Thursday, October 16, 2014 - 10:15am - 11:05am
Yekaterina Epshteyn (The University of Utah)
Saint-Venant system of shallow water equations and related models are
widely used in many scientific applications related to modeling of water
flows in rivers, lakes and coastal areas. The development of robust and
accurate numerical methods for the computation of the solutions to shallow
water models is an important and challenging problem.

The Saint-Venant system is a hyperbolic system of balance laws. A good
numerical method for the Saint-Venant system has to preserve a delicate
Wednesday, October 15, 2014 - 11:30am - 12:20pm
Timothy Warburton (Rice University)
The current trends in processor architecture design are driven by the end of so called era of Dennard scaling in around 2005. Thermal power dissipation issues associated with increasing processor clock frequency has instead led to processors being designed with many compute cores equipped with ever more numerous and wider vector units. The advent of massively parallel compute processors including graphics processing units and accelerators offers a window into the progression of compute platforms over the next decade.
Tuesday, October 14, 2014 - 10:15am - 11:05am
Clint Dawson (The University of Texas at Austin)
In the coastal ocean, waves propagate at different scales. In
frequency space, waves separate into long and short waves. Long waves are
typically modeled by the shallow water equations, while short waves are
modeled using various types of models, depending on the computational
domain. We will describe short wave models which are typically used in the
deep ocean and on the continental shelf, and models which are used
near-shore. We will also discuss the coupling of these models with
Wednesday, September 26, 2012 - 11:30am - 12:20pm
Mariana Haragus (Université de Franche-Comté)
The gravity-capillary water-wave problem concerns the
irrotational flow of a perfect fluid in a domain
bounded below by a rigid bottom and above by a free surface under the
influence of gravity and surface tension. In the case of large surface
tension the system has a family of traveling
two-dimensional periodic waves for which the free surface has a periodic
profile in the direction of propagation and is
homogeneous in the transverse direction. We show that
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