# Lattice-Boltzmann Part 2: LB as Solver for Partial Differential Equations and Multiple Relaxation Time Models

#### Lattice-Boltzmann Part 2: LB as Solver for Partial Differential Equations and Multiple Relaxation Time Models

- Event time: 11:30am
- Event date: 8th October 2014
- Speaker: Oliver Henrich (Formerly School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

Since its introduction about two decades ago the lattice-Boltzmann
(LB) method has been developed into a viable numerical tool for
computational fluid dynamics and beyond. With its roots in kinetic
theory this special version of a cellular automaton concept allows to
obtain continuum flow quantities from simple and local update rules
based on particle interactions. Instead of solving the Navier-Stokes
equation directly (DNS), the discrete Boltzmann equation is solved by
using simple models for the collision operator. The simplest such
operator is the single relaxation time Bhatnagar-Gross-Krook (BGK)
model, whereas more general models feature multiple relaxation times
(MRT) which allow different shear and bulk viscosities.

In this second part of my talk on LB methods I will demonstrate how LB schemes can be used as alternative solvers for a variety of partial differential equations, a feature that summarises best the spirit of the method. I will also show how the simple BGK collision operator can be generalised to permit different relaxation times for mass, momentum and energy density.

In this second part of my talk on LB methods I will demonstrate how LB schemes can be used as alternative solvers for a variety of partial differential equations, a feature that summarises best the spirit of the method. I will also show how the simple BGK collision operator can be generalised to permit different relaxation times for mass, momentum and energy density.

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