By Topic

Adaptive lattice Boltzmann model for compressible flows

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

The purchase and pricing options are temporarily unavailable. Please try again later.
3 Author(s)
Sun, Chenghai ; Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China ; Wang, Baoguo ; Shen, Mengyu

A new lattice Boltzmann model for compressible flows is presented. The main difference from the standard lattice Boltzmann model is that the particle velocities are no longer constant, but vary with the mean velocity and internal energy. The adaptive nature of the particle velocities permits the mean flow to have a high Much number. The introduction of a particle potential energy makes the model suitable for a perfect gas with arbitrary specific heat ratio. The Navier Stokes (N S) equations are derived by the Chapman Enskog method from the BGK Boltzmann equation. Two kinds of simulations have been carried out on the hexagonal lattice to test the proposed model. One is the Sod shock tube simulation. The other is a strong shock of Mach number 5. 09 diffracting around a corner.

Published in:

Tsinghua Science and Technology  (Volume:5 ,  Issue: 1 )