title: Lattice boltzmann method for compressible flows with high mach numbers
abstract: In this paper we present a lattice Boltzmann model to simulate compressible flows by introducing an attractive force. This scheme has two main advantages: one is to soften sound speed effectively, which greatly raises the Mach number (up to 5); another is its relative simple procedure. Simulations of the March cone and the comparison between theoretical expectations and simulations demonstrate that the scheme is effective in the simulation of compressible flows with high Mach numbers, which would create many new applications.
authors.affiliation: Department of Physics and Center for Nonlinear Sciences, Peking University, Beijing 100871, China and Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Science, Beijing 100800, China and Department of Physic.
authors.initials: H
authors.lastname: Yu
authors.initials: K
authors.lastname: Zhao