Stability investigation of finite-difference schemes of lattice Boltzmann method for diffusion modelling [PDF]
Компьютерные исследования и моделирование, 2016 Stability of finite difference schemes of lattice Boltzmann method for modelling of 1D diffusion for cases of D1Q2 and D1Q3 lattices is investigated. Finite difference schemes are constructed for the system of linear Bhatnagar-Gross-Krook (BGK) kinetic ...
Gerasim Vladimirovich Krivovichev
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Modelling thermal flow in a transition regime using a lattice Boltzmann approach [PDF]
, 2007 Lattice Boltzmann models are already able to capture important rarefied flow phenomena, such as velocity-slip and temperature jump, provided the effects of the Knudsen layer are minimal.
Benzi R. +12 more
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Lattice Boltzmann Method for Fluid-Thermal Systems: Status, Hotspots, Trends and Outlook
IEEE Access, 2020 Great advances have been made with the lattice Boltzmann (LB) method for complicated fluid phenomena and fundamental thermal processes over the past three decades.
Lin Li +9 more
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On the computation of viscous fluid flows by the lattice Boltzmann method [PDF]
Компьютерные исследования и моделирование, 2013 Modification of the lattice Boltzmann method for computation of viscous Newtonian fluid flows is considered. Modified method is based on the splitting of differential operator in Navier-Stokes equation and on the idea of instantaneous Maxwellisation of ...
Gerasim Vladimirovich Krivovichev
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Mesoscale numerical approach to predict macroscale fluid flow problems [PDF]
, 2010 We present a detailed analysis of the lattice Boltzmann method to simulate an incompressible fluid flow problem. Thorough derivation of macroscopic hydrodynamics equations from the continuous Boltzmann equation is performed.
Che Sidek, Nor Azwadi, Idris, M. S.
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A pressure-based regularized lattice-Boltzmann method for the simulation of compressible flows
The Physics of Fluids, 2020 A new pressure-based lattice-Boltzmann method (HRR-p) is proposed for the simulation of flows for Mach numbers ranging from 0 to 1.5. Compatible with nearest-neighbor lattices (e.g., D3Q19), the model consists of a predictor step comparable to classical ...
G. Farag +5 more
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Flow Simulations Using Two Dimensional Thermal Lattice Boltzmann Method
Journal of Applied Mathematics, 2012 Lattice Boltzmann method is implemented to study hydrodynamically and thermally developing steady laminar flows in a channel. Numerical simulation of two-dimensional convective heat transfer problem is conducted using two-dimensional, nine directional ...
Saeed J. Almalowi, Alparslan Oztekin
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Lattice Boltzmann method for consolidation analysis of saturated clay
Journal of Ocean Engineering and Science, 2019 The lattice Boltzmann method (LBM) has been widely employed in various areas of practical engineering to solve non-linear problems, due to such advantages as the simplicity of programming and the numerical efficiency.
Pyol Kim +3 more
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Numerical analysis of gas flows in a microchannel using the Cascaded Lattice Boltzmann Method with varying Bosanquet parameter [PDF]
Journal of Heat and Mass Transfer Research, 2020 . In this paper, a Cascaded Lattice Boltzmann Method with second order slip boundary conditions is developed to study gas flows in a microchannel in the slip and transition flow regimes with a wide range of Knudsen numbers.
M. Shomali, AhmadReza Rahmati
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Entropic lattice Boltzmann methods [PDF]
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2001 We present a general methodology for constructing lattice Boltzmann models of hydrodynamics with certain desired features of statistical physics and kinetic theory. We show how a methodology of linear programming theory, known as Fourier-Motzkin elimination, provides an important tool for visualizing the state space of lattice Boltzmann algorithms that
Boghosian, Bruce M. +3 more
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