Modeling coupled temperature and transport effects on biofilm growth using thermal lattice Boltzmann model

AIChE Journal ◽  
2021 ◽  
Author(s):  
Mojtaba Aghajani Delavar ◽  
Junye Wang
Keyword(s):  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Biofilm Growth ◽  
Transport Effects ◽  
Thermal Lattice Boltzmann ◽  
Boltzmann Model

scholarly journals Thermal Lattice Boltzmann Model for Simulating Two-Phase Flows.

2002 ◽  
Vol 68 (672) ◽  
pp. 2186-2194 ◽  
Author(s):  
Takeshi SETA ◽  
Ryoichi TAKAHASHI ◽  
Kenichi OKUI ◽  
Eisyun TAKEGOSHI
Keyword(s):  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Two Phase Flows ◽  
Two Phase ◽  
Thermal Lattice Boltzmann ◽  
Boltzmann Model

scholarly journals A PARALLEL THERMAL LATTICE BOLTZMANN MODEL WITH FLUX LIMITERS FOR MICROSCALE FLOW

2008 ◽  
Vol 19 (12) ◽  
pp. 1847-1861 ◽  
Author(s):  
M. BOTTI ◽  
G. GONNELLA ◽  
A. LAMURA ◽  
F. MASSAIOLI ◽  
V. SOFONEA
Keyword(s):  
Lattice Boltzmann ◽  
Evolution Equations ◽  
Parallel Implementation ◽  
Lattice Boltzmann Model ◽  
Driven Cavity ◽  
Slip Regime ◽  
Microscale Flow ◽  
Thermal Lattice Boltzmann ◽  
Flux Limiters ◽  
Boltzmann Model

We propose a thermal lattice Boltzmann model to study gaseous flow in microcavities. The model relies on the use of a finite difference scheme to solve the set of evolution equations. By adopting diffuse reflection boundary conditions to deal with flows in the slip regime, we study the micro-Couette flow in order to select the best numerical scheme in terms of accuracy. The scheme based on flux limiters is then used to simulate a micro-lid-driven cavity flow by using an efficient and parallel implementation. The numerical results are in very good agreement with the available results recovered with different methods.

scholarly journals Recovery of Galilean invariance in thermal lattice Boltzmann models for arbitrary Prandtl number

2014 ◽  
Vol 25 (10) ◽  
pp. 1450046 ◽  
Author(s):  
Hudong Chen ◽  
Pradeep Gopalakrishnan ◽  
Raoyang Zhang
Keyword(s):  
Prandtl Number ◽  
Lattice Boltzmann ◽  
Relaxation Times ◽  
Collision Operator ◽  
Lattice Boltzmann Model ◽  
Operator Form ◽  
Prandtl Numbers ◽  
Lattice Boltzmann Models ◽  
Thermal Lattice Boltzmann ◽  
Boltzmann Model

In this paper, we demonstrate a set of fundamental conditions required for the formulation of a thermohydrodynamic lattice Boltzmann model at an arbitrary Prandtl number. A specific collision operator form is then proposed that is in compliance with these conditions. It admits two independent relaxation times, one for viscosity and another for thermal conductivity. But more importantly, the resulting thermohydrodynamic equations based on such a collision operator form is theoretically shown to remove the well-known non-Galilean invariant artifact at nonunity Prandtl numbers in previous thermal lattice Boltzmann models with multiple relaxation times.

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