Analytic solutions of the variable force effect in lattice Boltzmann methods for Poiseuille flows

2021 ◽  
Vol 33 (8) ◽  
pp. 083610
Author(s):  
Hung-Wen Chang ◽  
Anshul Garg ◽  
Chao-An Lin
Keyword(s):  
Lattice Boltzmann ◽  
Analytic Solutions ◽  
Lattice Boltzmann Methods ◽  
Force Effect ◽  
Variable Force ◽  
Poiseuille Flows

Electroviscous Transport Problems via Lattice-Boltzmann

1997 ◽  
Vol 08 (04) ◽  
pp. 889-898 ◽  
Author(s):  
Patrick B. Warren
Keyword(s):  
Lattice Boltzmann ◽  
Convective Diffusion ◽  
Analytic Solutions ◽  
Simple Application ◽  
Lattice Boltzmann Methods ◽  
Osmotic Flow ◽  
The Moment ◽  
Transport Problems ◽  
Electro Osmotic Flow ◽  
Diffusion Problems

The application of lattice-Boltzmann methods to electroviscous transport problems is discussed, generalising the moment propagation method for convective-diffusion problems. As a simple application, electro-osmotic flow in a parallel-sided slit is analysed, and the results compared favourably with available analytic solutions for this geometry.

scholarly journals Beyond moments: relativistic lattice Boltzmann methods for radiative transport in computational astrophysics

2020 ◽  
Vol 498 (3) ◽  
pp. 3374-3394
Author(s):  
L R Weih ◽  
A Gabbana ◽  
D Simeoni ◽  
L Rezzolla ◽  
S Succi ◽  
...  
Keyword(s):  
Lattice Boltzmann ◽  
Radiative Transfer Equation ◽  
Analytic Solutions ◽  
Lattice Boltzmann Methods ◽  
Computational Costs ◽  
Computational Astrophysics ◽  
Frequency Independent ◽  
Consistent Solution ◽  
Static Fluid ◽  
Relativistic Framework

ABSTRACT We present a new method for the numerical solution of the radiative-transfer equation (RTE) in multidimensional scenarios commonly encountered in computational astrophysics. The method is based on the direct solution of the Boltzmann equation via an extension of the lattice Boltzmann (LB) equation and allows to model the evolution of the radiation field as it interacts with a background fluid, via absorption, emission, and scattering. As a first application of this method, we restrict our attention to a frequency independent (‘grey’) formulation within a special-relativistic framework, which can be employed also for classical computational astrophysics. For a number of standard tests that consider the performance of the method in optically thin, optically thick, and intermediate regimes with a static fluid, we show the ability of the LB method to produce accurate and convergent results matching the analytic solutions. We also contrast the LB method with commonly employed moment-based schemes for the solution of the RTE, such as the M1 scheme. In this way, we are able to highlight that the LB method provides the correct solution for both non-trivial free-streaming scenarios and the intermediate optical-depth regime, for which the M1 method either fails or provides inaccurate solutions. When coupling to a dynamical fluid, on the other hand, we present the first self-consistent solution of the RTE with LB methods within a relativistic-hydrodynamic scenario. Finally, we show that besides providing more accurate results in all regimes, the LB method features smaller or comparable computational costs compared to the M1 scheme.

Indoor air flow analysis based on lattice Boltzmann methods

2002 ◽  
Vol 34 (9) ◽  
pp. 941-949 ◽  
Author(s):  
B Crouse ◽  
M Krafczyk ◽  
S Kühner ◽  
E Rank ◽  
C van Treeck
Keyword(s):  
Indoor Air ◽  
Lattice Boltzmann ◽  
Air Flow ◽  
Flow Analysis ◽  
Lattice Boltzmann Methods ◽  
Indoor Air Flow

Simulations of Synaptic Transmission Using Lattice Boltzmann Methods

2002 ◽  
Author(s):  
Mehrak Mahmoudi ◽  
Piroz Zamankhan ◽  
William Polashenski
Keyword(s):  
Central Nervous System ◽  
Nervous System ◽  
Theoretical Model ◽  
Lattice Boltzmann ◽  
Chemical Substance ◽  
Human Central Nervous System ◽  
Lattice Boltzmann Methods ◽  
Nerve Impulses ◽  
System A ◽  
The Central Nervous System

The nervous system remains one of the least understood biological structures due in large part to the enormous complexity of this organ. A theoretical model for the transfer of nerve impulses would be valuable for the analysis of various phenomena in the nervous system, which are difficult to study by experiments. The central nervous system is composed of more than 100 billion neurons, through which information is transmitted via nerve impulses. Nerve impulses are not immediately apparent since each impulse may be blocked during transmission, changed from a single impulse into repetitive impulse, or integrated with impulses from other neurons to form highly intricate patterns. In the human central nervous system, a neuron secretes a chemical substance called a neurotransmitter at the synapse, and this transmitter in turn acts on another neuron to cause excitation, inhibition, or some other modification of its sensitivity.

scholarly journals Towards a hybrid parallelization of lattice Boltzmann methods

2009 ◽  
Vol 58 (5) ◽  
pp. 1071-1080 ◽  
Author(s):  
Vincent Heuveline ◽  
Mathias J. Krause ◽  
Jonas Latt
Keyword(s):  
Lattice Boltzmann ◽  
Lattice Boltzmann Methods ◽  
Hybrid Parallelization
Sign in / Sign up

Export Citation Format

Share Document