Numerically Solving the Incompressible Euler Equations on a Moving Domain
Mathematics Department, UCSD
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
Center for Computational Mathematics9500 Gilman Dr. #0112La Jolla, CA 92093-0112Tel: (858)534-9056