Abstract
The lattice Boltzmann method (LBM) is a numerical simplification of the Boltzmann equation of the kinetic theory of gases that describes fluid motions by tracking the evolution of the particle velocity distribution function based on linear streaming with nonlinear collision. To verify the reliability and accuracy of the model simulation of incompressible fluid flow, we program to simulate two-dimensional Poiseuille flow which has the analytical solution by using the three mode: D2Q9 model, He-Luo model, Guo model (D2G9). The tests show that the Guo model gives better results. So, in the article, the Guo model is used to stimulate the jet flow field, then the result of which is compared to the result from the experience. The research of this article is the first step to make use of the LBM on the aeroacoutics of jet flow and to provide a theoretical basis on jet aeroacoustics for further study.
Highlights
The first two-dimensional discrete lattice gas model was proposed in 1986 by Frisch, Hasslacher and Pomeau (FHP) [1]
Based on the above theoretical analysis, we will use D2Q9 model, Guo model (D2G9), He-Luo model to make two-dimensional simulation for constant pressure gradient-driven Poiseuille flow and make comparison with the simulation results and analytical solutions or the existing literature’s data. on the basis of proving Lattice Boltzmann method in proving the calculated value for the fluid stimulation feasibility, several focusing on the comparing basic model simulation results, and from the convergence speed, accuracy, numerical stability analysis of several different angles and compared to choose an excellent model to provide a theoretical basis for further stimulation of jet acoustics by using lattice Boltzmann method
The lattice Boltzmann method (LBM) is used for numerical simulation of low-Mach jet flow field
Summary
The first two-dimensional discrete lattice gas model was proposed in 1986 by Frisch, Hasslacher and Pomeau (FHP) [1]. DnQb model which is still widely used, was proposed by Qian in 1992 [6]; 1995, Zou and his collaborators proposed a lattice Boltzmann model which could made the calculation of steady incompressible Navier-Stokes equations, it’s called Zou-Hou model [7]; In 1997, Chen and Ohashi promoted the Zuo-Huo model unsteadily and incompressibly to construct a new incompressible Lattice-BoltZman model. We called it Chen-Ohashi mode [8].
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