Geometric Fluid Dynamics
Date
Thursday, June 28, 2018 11:00 - 12:00
Speaker
Albert Chern (TU Berlin)
Location
Meeting room 2nd floor / Office Bldg West (I21.01.132)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Chris Wojtan
Contact
In this talk I will present a modern geometric formulation of 19th century fluid dynamics. Beyond the topological insights to Helmholtz, Kelvin and Clebschs vortex theory, I present a natural generalization to the Clebsch representation. In this new description, fluid states are encoded in Clebsch variables taking value in a prequantum bundle, a type of space introduced in geometric quantum mechanics. Through this formalism, we find a straightforward link between the Euler equations and the Schrdinger equation. In the talk I will also demonstrate that Schrdinger-based numerical solver is attractive in fluid simulations.