Lattice Boltzmann model for the bimolecular autocatalytic reaction–diffusion equation

Zhang, Jianying; Yan, Guangwu

doi:10.1016/j.apm.2014.04.042

Cited by 9 publications

(2 citation statements)

References 77 publications

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“…Over the past few years, the lattice Boltzmann method (LBM), a mesoscopic approach, has experienced tremendous advances and has been well accepted as a useful method to simulate various complex fluid phenomena, such as multiphase /multicomponent flows [17][18][19], 5 electro-osmotic flow [20], micro/nano fluidics [21,22], Magneto-hydrodynamic flows [23,24], flows through porous media [25,26], reaction-diffusion system [27,28], and etc. Due to its kinetic nature and local dynamics, lattice Boltzmann method has several advantages over traditional numerical methods, including the physical representation of microscopic interactions, the easiness in dealing with complex geometries and parallelization of the algorithm.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann parallel simulation of microflow dynamics over structured surfaces

Zhou

Yan

Liu

et al. 2017

Advances in Engineering Software

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In the present work, a parallel lattice Boltzmann multiphase model was developed to investigate the effects of surface structures on wettabilities and flow dynamics in a microchannel. The theory of wetting transition was firstly discussed. Then three types including triangular, rectangle and hierarchical shaped microstructures were constructed on the surface to examine the effects on wettabilities and drag reduction. It was found that flow behaviour is strongly affected by the surface morphology of the channel. The results indicated that hierarchical structures on the surface could improve the hydrophobicity significantly. For rectangular structures, they can improve the hydrophobicity with the increase of height and distance ratio h/d of the structures, and the improvement will reach its optimal hydrophobicity when the value h/d is over a certain value of 0.6. Moreover, to accelerate computational speed, the Open Multi-Processing (OpenMP) was employed for the parallelization of the model. A maximum speedup of 2.95 times was obtained for 4 threads on a multi-core CPU platform.

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Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann parallel simulation of microflow dynamics over structured surfaces

Zhou

Yan

Liu

et al. 2017

Advances in Engineering Software

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“…This allows multi-phase and multi-component fluids to be simulated [19][20][21][22]. Versions in recent years have developed yet further and incorporated a range of interactions between these additional components, advancing the LBM into the realm of chemistry [23][24][25][26][27], including thermal chemical problems such as combustion [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

A Non-Isothermal Chemical Lattice Boltzmann Model Incorporating Thermal Reaction Kinetics and Enthalpy Changes

Bartlett

2017

Computation

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Abstract:The lattice Boltzmann method is an efficient computational fluid dynamics technique that can accurately model a broad range of complex systems. As well as single-phase fluids, it can simulate thermohydrodynamic systems and passive scalar advection. In recent years, it also gained attention as a means of simulating chemical phenomena, as interest in self-organization processes increased. This paper will present a widely-used and versatile lattice Boltzmann model that can simultaneously incorporate fluid dynamics, heat transfer, buoyancy-driven convection, passive scalar advection, chemical reactions and enthalpy changes. All of these effects interact in a physically accurate framework that is simple to code and readily parallelizable. As well as a complete description of the model equations, several example systems will be presented in order to demonstrate the accuracy and versatility of the method. New simulations, which analyzed the effect of a reversible reaction on the transport properties of a convecting fluid, will also be described in detail. This extra chemical degree of freedom was utilized by the system to augment its net heat flux. The numerical method outlined in this paper can be readily deployed for a vast range of complex flow problems, spanning a variety of scientific disciplines.

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The simulation of some chemotactic bacteria patterns in liquid medium which arises in tumor growth with blow-up phenomena via a generalized smoothed particle hydrodynamics (GSPH) method

Dehghan

Abbaszadeh

2018

Engineering with Computers

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Lattice Boltzmann model for the bimolecular autocatalytic reaction–diffusion equation

Cited by 9 publications

References 77 publications

Lattice Boltzmann parallel simulation of microflow dynamics over structured surfaces

Lattice Boltzmann parallel simulation of microflow dynamics over structured surfaces

A Non-Isothermal Chemical Lattice Boltzmann Model Incorporating Thermal Reaction Kinetics and Enthalpy Changes

The simulation of some chemotactic bacteria patterns in liquid medium which arises in tumor growth with blow-up phenomena via a generalized smoothed particle hydrodynamics (GSPH) method

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