Published: Oct. 5, 2007
Event Description:

Robert Krasny, Professor, University of Michigan

Lagrangian Simulations of Fluids and Plasmas

This talk will describe recent work on lagrangian simulations of fluids and plasmas. The basic idea is to replace the standard Eulerian formulation by a Lagrangian formulation in which the flow map is the key unknown. This leads naturally to a particle discretization. The particles carry vorticity in the case of a fluid and electric charge in the case of a plasma. The induced velocity and electric field are expressed as singular integrals. The numerical method uses kernel smoothing for stability, adaptive particle insertion for accuracy, and a particle-cluster treecode for efficiency. Examples to be presented include collisionless electrostatic plasmas in 1D, and vortex sheets and vortex rings in 2D and 3D fluids. The Lagrangian approach gives direct access to dynamics, revealing the onset of chaos in these flows.

Location Information:
Main Campus - Engineering Classroom Wing  (View Map)
1111 Engineering DR 
Boulder, CO 
Room: 245
Contact Information:
Name: Ian Cunningham
Phone: 303-492-4668