BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Deterministic Solution of the Boltzmann Equation: Fast Spectral Me
 thods for the Boltzmann Collision Operator - Jingwei Hu\, Department of Ma
 thematics\, Purdue University
DTSTART:20190325T140000Z
DTEND:20190325T150000Z
UID:TALK121690@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:The Boltzmann equation\, an integro-differential equation for 
 the molecular distribution function in the physical and velocity phase spa
 ce\, governs the fluid flow behavior at a wide range of physical condition
 s. Despite its wide applicability\, deterministic numerical solution of th
 e Boltzmann equation presents a huge computational challenge due to the hi
 gh-dimensional\, nonlinear\, and nonlocal collision operator. We introduce
  a fast Fourier spectral method for the Boltzmann collision operator which
  leverages its convolutional and low-rank structure. We show that the fram
 ework is quite general and can be applied to arbitrary collision kernels\,
  inelastic collisions\, and multiple species. We then couple the fast spec
 tral method in the velocity space with the discontinuous Galerkin discreti
 zation in the physical space to obtain a highly accurate deterministic sol
 ver for the full Boltzmann equation. Standard benchmark tests including ra
 refied Fourier heat transfer\, Couette flow\, and thermally driven cavity 
 flow have been studied and the results are compared against direct simulat
 ion Monte Carlo (DSMC) solutions.
LOCATION:MR 14
END:VEVENT
END:VCALENDAR