Intermittent behaviour in hydrodynamical systems with spherical symmetry: theory and an experiment

  • Date: 03/15/2007

Pascal Chossat (Centre International de Rencontres Mathématiques)


University of British Columbia


Auxiliary variable methods for the incompressible Navier-Stokes
equations approximate the evolution of the velocity through a dynamic
variable which does not satisfy a divergence constraint but from which
the correct incompressible velocity can be computed by a projection.
This approach is a departure from traditional projection methods
wherein the intermediate variable is considered only as a byproduct of
a fractional step scheme. I will discuss the connections between
auxiliary variables, impulse variables, and projection methods; discuss
how auxiliary variables resolve the question of applying boundary
conditions in projection methods; and discuss recent work on
constructing fourth-order methods for the equations of 0-Mach number
gas dynamics based on auxiliary variables.

Other Information: 

DG-MP-PDE Seminar 2007