Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2008-01-28
Physica A 387, 1721 (2008)
Physics
Condensed Matter
Soft Condensed Matter
Scientific paper
10.1016/j.physa.2007.11.013
In this paper we present an improved lattice Boltzmann model for compressible Navier-Stokes system with high Mach number. The model is composed of three components: (i) the discrete-velocity-model by Watari and Tsutahara [Phys Rev E \textbf{67},036306(2003)], (ii) a modified Lax-Wendroff finite difference scheme where reasonable dissipation and dispersion are naturally included, (iii) artificial viscosity. The improved model is convenient to compromise the high accuracy and stability. The included dispersion term can effectively reduce the numerical oscillation at discontinuity. The added artificial viscosity helps the scheme to satisfy the von Neumann stability condition. Shock tubes and shock reflections are used to validate the new scheme. In our numerical tests the Mach numbers are successfully increased up to 20 or higher. The flexibility of the new model makes it suitable for tracking shock waves with high accuracy and for investigating nonlinear nonequilibrium complex systems.
Gan Yanbiao
Li Yingjun
Xu Aiguo
Yu Xijun
Zhang Guangcai
No associations
LandOfFree
Two-Dimensional Lattice Boltzmann Model For Compressible Flows With High Mach Number does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Two-Dimensional Lattice Boltzmann Model For Compressible Flows With High Mach Number, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-Dimensional Lattice Boltzmann Model For Compressible Flows With High Mach Number will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-156469