Abstract Details
Abstracts
Author: Christopher R Flint
Requested Type: Poster
Submitted: 2017-03-16 12:23:57
Co-authors: George Vahala
Contact Info:
College of William and Mary
PO Box 8795
Williamsburg, VA 23187
US
Abstract Text:
Lattice Boltzmann (LB) Methods are a novel approach to CFD simulations. These methods simulate Navier-Stokes and MHD equations on the mesoscopic scale by solving for a statistical distribution of particles rather than attempting to solve the nonlinear equations directly. These methods allow for a highly parallelizable code since one replaces the difficult nonlinear convective derivatives of MHD by simple linear advection on a lattice. New developments in LB have significantly extended the limits of applicability. These developments include multiple relaxation rates (MRT) in the collision operators, maximizing entropy to ensure positive definiteness in the distribution functions, large eddy simulations of MHD turbulence, as well as the inclusion of thermal effects in a quasi-incompressible simulation. Improving the limits of this highly parallelizable simulation method allows it to become the ideal candidate for simulating various fluid and plasma problems; improving both the speed of the simulation and the size of code on today’s high performance supercomputers. We discuss some of these LB extensions to the Kelvin-Helmholtz instability in a magnetic field.
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