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Event Calendar

Dienstag, 12.07.2016

BIMoS Day "Fluid simulation by Schrödinger's equation"

Art der Veranstaltung:
Vortragsreihe, -programm, Veranstaltungsreihe
Beschreibung:

BIMoS Day

"Fluid simulation by Schrödinger's equation"

Speaker: Prof. Dr. Ulrich Pinkall (TUB)

When: Tuesday, July 12th, 4 pm - 6 pm (16.00 Uhr s.t.)

Where: H 3005, TUB Main Building

16:00 - 16:45 Ulrich Pinkall (TU Berlin)

„Simulating ordinary fluids as superfluids“

 Abstract: We describe a new approach to the simulation of incompressible fluids. In it, the fluid state is represented by a two-component wave function evolving under the Schrödinger equation subject to incompressibility constraints. This approach is inspired by the equations used in physics to describe superfluids like liquid Helium. A key benefit of this approach is that dynamics due to thin vortical structures, all important for visual simulation, are faithfully reproduced. This enables robust simulation of intricate phenomena such as vortical wakes and interacting vortex filaments, even on modestly sized grids. Our implementation uses a simple splitting method for time integration employing the FFT for Schrödinger evolution as well as constraint projection. The resulting algorithm is simple, unconditionally stable, and efficient.

17:15 - 17:35 Peter Schröder (Caltech)

 „Decomposing velocity fields into vortex filaments“

Abstract: We discuss an efficient method to convert arbitrary divergence-free velocity fields into initial data suitable for Incompressible Schrödinger Flow. Basically, this amounts to approximating the velocity field by one that is generated by a certain configuration of vortex filaments. Even on its own this extraction of vortex rings from velocity fields provides a very useful tool for analyzing and visualizing fluids.

17:35 - 18:00 Albert Chern (Caltech)

„Incompressible Schrödinger Flow: Practical issues and applications“

Abstract: The numerical algorithm we use to implement Incompressible Schrödinger Flow is extremely simply and efficient. Here we discuss some practical issues. We also show how to integrate obstacles in the flow while staying in the FFT framework. We demonstrate the use of Incompressible Schrödinger Flow in a variety of scenarios, compare it with experiments and evaluate it against benchmark tests.

Veranstalter:
BIMoS
Ansprechpartner:
  • office@bimos.tu-berlin.de,
Ort:
H 3005, Straße des 17. Juni 135, 10623 Berlin
Zeit:
16:00 - 18:00

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