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Hydrodynamic limit of lattice Boltzmann equations
- J. Latt
- Computer Science
A novel LB model is introduced, first for the simulation of advection-diffusion problems, and then for the resolution of the Navier-Stokes equation, which is shown to substantially increase the stability and accuracy of LB models in numerical simulaiton.
Straight velocity boundaries in the lattice Boltzmann method.
- J. Latt, B. Chopard, O. Malaspinas, M. Deville, A. Michler
- PhysicsPhysical review. E, Statistical, nonlinear, and…
- 13 May 2008
All five boundary conditions exhibit second-order accuracy, consistent with the accuracy of the lattice Boltzmann method, as well as two major groups which are found to be exceptionally accurate at low Reynolds number.
Palabos: Parallel Lattice Boltzmann Solver
Choice of units in lattice Boltzmann simulations
- J. Latt
Lattice Boltzmann (LB) simulations are supposed to represent the physics of an actually existing, real system. During implementation, the question invariably pops up how to chose the units of the…
Generalized three-dimensional lattice Boltzmann color-gradient method for immiscible two-phase pore-scale imbibition and drainage in porous media.
- S. Leclaire, A. Parmigiani, O. Malaspinas, B. Chopard, J. Latt
- EngineeringPhysical review. E
- 14 March 2017
The ability to simulate immiscible two-component flow imbibition and drainage is validated, with excellent results, by numerical simulations in a Berea sandstone, a frequently used benchmark case used in this field, using a complex geometry that originates from a 3D scan of a porous sandstone.
Optimization of microfluidic single cell trapping for long-term on-chip culture.
This work presents a microfluidic chip with enhanced single cell trapping and on-chip culture performance, and demonstrates the automated separation of the two daughter cells generated upon single cell division.
The lattice Boltzmann advection-diffusion model revisited
A new formulation is proposed, which is shown to produce better results, both from the point of view of the Chapman-Enskog expansion or when comparing simulations with an exact time-dependent solution of the advection-diffusion equation.
Spatial Coupling of a Lattice Boltzmann fluid model with a Finite Difference Navier-Stokes solver
In multiscale, multi-physics applications, there is an increasing need for coupling numerical solvers that are each applied to a different part of the problem. Here we consider the case of coupling a…
Comprehensive comparison of collision models in the lattice Boltzmann framework: Theoretical investigations.
A formalism is proposed that describes all these methods within a common mathematical framework, and in this way allows us to draw direct links between them, and emphasizes the importance of an accurate representation of the equilibrium state, independently of the choice of moment space.