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Directors:
Randolph E. Bank
Philip E. Gill
Michael Holst

Administrative Contact:
Terry Le

Office: AP&M 7431
Phone: (858)534-9813
Fax: (858)534-5273
E-mail: tele@ucsd.edu
Numerically Solving the Incompressible Euler Equations on a Moving Domain

Jonathan Serencsa
Mathematics Department, UCSD

Abstract:

While there is much work to be done in regards to numerical methods for solving fluid problems on fixed domains, constraining something so dynamic as a fluid to a fixed domain seems rather restrictive. When you visualize a moving fluid, do you picture water moving through a pipe or air flowing past a wing? No? I thought not. It is more likely that you pictured something more along the line of a 20 foot wave breaking, a rumbling river, or a glass of juice spilling off the side of the table. In order to model such examples, one must generally solve the fluid equations on a domain which evolves in time. And you thought the fixed domain case was hard!I shall briefly discuss my current methods to solve the incompressible Euler Equations on a moving domain, particularly under the influence of the forces of surface tension. There will be pictures, but a lot more complaining about the difficulties of my project.

Wednesday, February 6, 2008
11:00AM AP&M 2402