Return to Colloquia & Seminar listing
PDE methods for the numerical simulation of compressible fluid flow
Student-Run Research Seminar| Speaker: | Raaghav Ramani, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Apr 12 2018, 12:10PM |
The compressible Euler equations form a hyperbolic system of nonlinear conservation laws, and describe the evolution of an inviscid gas. It is well-known that solutions can develop finite-time discontinuities, known as shock waves and contact discontinuities. The numerical simulation of such discontinuities is often very difficult, with solutions exhibiting oscillatory wave profiles, incorrect wave speeds, high frequency noise, and various other inaccuracies.
In this talk, I will introduce a number of methods - based on ideas from the analysis of PDE - for the stabilization of such solutions. These include a space-time smooth artificial viscosity method, a wavelet-based noise detection and removal procedure, and shock-wall collision schemes. Applications to various 1-D and 2-D problems will be shown, including the difficult LeBlanc shock-tube, the Sod circular explosion, and the classical Rayleigh-Taylor instability. This is joint work with Steve Shkoller.
Register for pizza here.