Hybrid lattice-Boltzmann finite difference simulation of convective flows.
type: Item
instance of: scholarly article
title: Hybrid lattice-Boltzmann finite difference simulation of convective flows.
zbMATH Open document ID: 1071.76044
author: Ahmed Mezrhab
author: M'hamed Bouzidi
author: Pierre Lallemand
published in: Computers and Fluids
publication date: 2004-05-27T00:00:00Z
review text: The authors show that in order to simulate fluid flows that are weakly coupled to some quantity, like temperature in a convective situation, one can use the lattice-Boltzmann (LBE) equation to compute the fluid variables. The other quantity can be computed using finite difference techniques. For the cases that the authors studied, they found that the inherent numerical instabilities of LBE are not modified by the coupling with temperature. This is improvement compared to what is found in simulations of thermal systems using the full LBE model in which one includes the conservation of energy. Some extensions of hybrid schemes are discussed.
Mathematics Subject Classification ID: 76M28
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 2067460
zbMATH Keywords: temperature
zbMATH Keywords: numerical instability
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.compfluid.2003.05.001
OpenAlex ID: W1986672803
cites work: Q5830588
cites work: Q3813517
cites work: Lattice BGK Models for Navier-Stokes Equation
cites work: LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
cites work: A consistent hydrodynamic boundary condition for the lattice Boltzmann method
cites work: Local second-order boundary methods for lattice Boltzmann models.
cites work: Momentum transfer of a Boltzmann-lattice fluid with boundaries
cites work: An accurate curved boundary treatment in the lattice Boltzmann method
cites work: Grid refinement for lattice-BGK models
cites work: Analysis of the lattice Boltzmann treatment of hydrodynamics
cites work: Stabilization of thermal lattice Boltzmann models
cites work: A novel thermal model for the lattice Boltzmann method in incompressible limit
cites work: Linear stability analysis of thermo-lattice Boltzmann models
cites work: Lattice Boltzmann algorithm for simulating thermal flow in compressible fluids
cites work: A novel lattice BGK approach for low Mach number combustion
cites work: A steepest gradient method for optimum structural design
cites work: Accurate solutions to the square thermally driven cavity at high Rayleigh number
cites work: From onset of unsteadiness to chaos in a differentially heated square cavity
cites work: Fluid flow and heat transfer test problems for non-orthogonal grids: Bench-mark solutions
cites work: A first incursion into the 3D structure of natural convection of air in a differentially heated cubic cavity, from accurate numerical solutions
DOI: 10.1016/J.COMPFLUID.2003.05.001
description: scientific article; zbMATH DE number 2067460