scholarly journals Two-dimensional lattice Boltzmann model for compressible flows with high Mach number

2008 ◽  
Vol 387 (8-9) ◽  
pp. 1721-1732 ◽  
Author(s):  
Yanbiao Gan ◽  
Aiguo Xu ◽  
Guangcai Zhang ◽  
Xijun Yu ◽  
Yingjun Li
Keyword(s):  
Mach Number ◽  
Lattice Boltzmann ◽  
Compressible Flows ◽  
Lattice Boltzmann Model ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
High Mach Number ◽  
High Mach ◽  
Boltzmann Model

Two-Dimensional Lattice Boltzmann Model for Droplet Impingement and Breakup in Low Density Ratio Liquids

2011 ◽  
Vol 10 (3) ◽  
pp. 767-784 ◽  
Author(s):  
Amit Gupta ◽  
Ranganathan Kumar
Keyword(s):  
Lattice Boltzmann ◽  
Weber Number ◽  
Density Ratio ◽  
Lattice Boltzmann Model ◽  
Low Density ◽  
Two Dimensional ◽  
Conservation Of Energy ◽  
Dimensional Lattice ◽  
Boltzmann Model ◽  
The Impact

AbstractA two-dimensional lattice Boltzmann model has been employed to simulate the impingement of a liquid drop on a dry surface. For a range of Weber number, Reynolds number and low density ratios, multiple phases leading to breakup have been obtained. An analytical solution for breakup as function of Reynolds and Weber number based on the conservation of energy is shown to match well with the simulations. At the moment breakup occurs, the spread diameter is maximum; it increases with Weber number and reaches an asymptotic value at a density ratio of 10. Droplet breakup is found to be more viable for the case when the wall is non-wetting or neutral as compared to a wetting surface. Upon breakup, the distance between the daughter droplets is much higher for the case with a non-wetting wall, which illustrates the role of the surface interactions in the outcome of the impact.

Two-dimensional lattice-Boltzmann model of hydrosol depth filtration

AIChE Journal ◽  
2005 ◽  
Vol 52 (1) ◽  
pp. 39-48 ◽  
Author(s):  
Hervé Duval ◽  
David Masson ◽  
Jean-Bernard Guillot ◽  
Philippe Schmitz ◽  
Dominique d'Humières
Keyword(s):  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
Depth Filtration ◽  
Boltzmann Model

scholarly journals The use of shock-detecting sensor to improve the stability of Lattice Boltzmann Model for high Mach number flows

2015 ◽  
Vol 26 (01) ◽  
pp. 1550006 ◽  
Author(s):  
Mohsen Ghadyani ◽  
Vahid Esfahanian ◽  
Mohammad Taeibi-Rahni
Keyword(s):  
Mach Number ◽  
Lattice Boltzmann ◽  
Compressible Flows ◽  
Recent Decade ◽  
Numerical Results ◽  
Lattice Boltzmann Model ◽  
Rarefaction Waves ◽  
High Mach ◽  
The Stability ◽  
Improved Model

Attempts to simulate compressible flows with moderate Mach number to relatively high ones using Lattice Boltzmann Method (LBM) have been made by numerous researchers in the recent decade. The stability of the LBM is a challenging problem in the simulation of compressible flows with different types of embedded discontinuities. The present study proposes an approach for simulation of inviscid flows by a compressible LB model in order to enhance the robustness using a combination of Essentially NonOscillatory (ENO) scheme and Shock-Detecting Sensor (SDS) procedure. A sensor is introduced with adjustable parameters which is active near the discontinuities and affects less on smooth regions. The validity of the improved model to capture shocks and to resolve contact discontinuity and rarefaction waves in the well-known benchmarks such as, Riemann problem, and shock reflection is investigated. In addition, the problem of supersonic flow in a channel with ramp is simulated using a skewed rectangular grid generated by an algebraic grid generation method. The numerical results are compared with analytical ones and those obtained by solving the original model. The numerical results show that the presented scheme is capable of generating more robust solutions in the simulation of compressible flows and is almost free of oscillations for high Mach numbers. Good agreements are obtained for all problems.

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