A Thermal Model Based on the Lattice Boltzmann Method for Low Mach Number Compressible Flows

2006 ◽  
Vol 3 (4) ◽  
pp. 579-587 ◽  
Author(s):  
Jonas Tölke
Keyword(s):  
Mach Number ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Thermal Model ◽  
Compressible Flows ◽  
Low Mach Number ◽  
Model Based ◽  
Boltzmann Method

Toward Direct Numerical Simulation of Aeroacoustic Field Around Airfoil Using Multi-Scale Lattice Boltzmann Method

2013 ◽  
Author(s):  
K. Kusano ◽  
K. Yamada ◽  
M. Furukawa
Keyword(s):  
Numerical Simulation ◽  
Reynolds Number ◽  
Mach Number ◽  
Direct Numerical Simulation ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Low Mach Number ◽  
Multi Scale ◽  
Moderate Reynolds Number ◽  
Boltzmann Method

Lattice Boltzmann method (LBM) has a potential to simulate airfoil self-noise with low Mach number flow including turbulent flow and aerodynamic feedback loops. In this study, the computational techniques concerning LBM were developed toward direct numerical simulation of aeroacoustic fields with low Mach number. For applications of multi-scale phenomena such as flow and acoustic fields, multi-scale model was introduced, which enables to use locally refined grids. The grids were efficiently arranged using the Building-Cube Method (BCM) by dividing the computational domain into multiple blocks with various grid sizes. Furthermore, the zonal DNS and LES approach was adopted to suppress the numerical instability in the region of coarse grids. The grid dependency of the results provided by the present numerical method was investigated by two-dimensional simulations of flow fields around a NACA0012 airfoil using four different grids. Furthermore, a three-dimensional simulation of flow around a NACA0018 airfoil with moderate Reynolds number was conducted. The computational results were compared and have a good agreement with the experimental ones. The present method can simulate flow around airfoil with moderate Reynolds number involving the laminar-to-turbulent transition.

Numerical Method of Weakly Compressible Poiseuille Flow Using Lattice Boltzmann Method

2018 ◽  
Vol 384 ◽  
pp. 99-116
Author(s):  
Sanae Ouajdi ◽  
Fayçal Moufekkir ◽  
Ahmed Mezrhab ◽  
Jean Pierre Fontaine
Keyword(s):  
Lattice Boltzmann Method ◽  
Poiseuille Flow ◽  
Lattice Boltzmann ◽  
Transverse Velocity ◽  
Boussinesq Approximation ◽  
Low Mach Number ◽  
Thermal Fields ◽  
Weakly Compressible ◽  
The Finite Difference Method ◽  
Boltzmann Method

The present work focuses on the numerical simulation of isothermal and weakly compressible Poiseuille flow in a planar channel using the Lattice Boltzmann method with multiple times of relaxation (MRT-LBE) coupled to the Finite Difference method (FDM). The active fluid considered is the air under low Mach number assumption. The flow is two-dimensional, laminar and all the physical properties are constants except the density which varies in the sense of the Boussinesq approximation. The effects of the compressibility, the inclination angle and the Reynolds number on the dynamical and thermal fields are studied numerically. The results are presented in terms of streamlines, isotherms and transverse velocity.

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