Results 1 to 10 of about 1,659,695 (272)
Fast-forward prediction of lattice Boltzmann dynamics with physics-informed neural operators. [PDF]
Nat CommunThe lattice Boltzmann equation (LBE), rooted in kinetic theory, captures complex flow behaviour by evolving single-particle distribution functions (PDFs), but its explicit time-stepping makes large-scale simulation computationally intensive.
Xue X +9 more
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Hybrid Lattice Boltzmann Model for Nonlinear Diffusion and Image Denoising
Mathematics, 2023 In the present paper, a novel approach for image denoising based on the numerical solution to the nonlinear diffusion equation is proposed. The Perona–Malik-type equation is solved by employing a hybrid lattice Boltzmann model with five discrete ...
Oleg Ilyin
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Volumetric Lattice Boltzmann Models in General Curvilinear Coordinates: Theoretical Formulation
Frontiers in Applied Mathematics and Statistics, 2021 A theoretical formulation of lattice Boltzmann models on a general curvilinear coordinate system is presented. It is based on a volumetric representation so that mass and momentum are exactly conserved as in the conventional lattice Boltzmann on a ...
Hudong Chen
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Lattice Boltzmann Method for the Generalized Black-Scholes Equation
Advances in Mathematical Physics, 2023 In this paper, an efficient lattice Boltzmann model for the generalized Black-Scholes equation governing option pricing is proposed. The Black-Scholes equation is firstly equivalently transformed into an initial value problem for a partial differential ...
Fangfang Wu +3 more
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Analysis of Carleman Linearization of Lattice Boltzmann
Fluids, 2022 We explore the Carleman linearization of the collision term of the lattice Boltzmann formulation, as a first step towards formulating a quantum lattice Boltzmann algorithm.
Wael Itani, Sauro Succi
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Applied Sciences, 2022 This work presents a novel method for simulating the behavior of solid objects with the Lattice Boltzmann Method (LBM). To introduce and validate our proposed framework, comparative studies are performed for computing the static equilibrium of isotropic ...
Tristan Maquart +3 more
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Advection–Diffusion Lattice Boltzmann Method With and Without Dynamical Filter
Frontiers in Physics, 2022 In multi-component flow and/or thermal flows, when the diffusion coefficient of the advection–diffusion equation is relatively small, the relaxation coefficient in the lattice Boltzmann method will be close to 0.5, which will lead to numerical ...
Zhihong Zhang, Zhiqiang Li, Yunke Wu
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An accuracy analysis of the cascaded lattice Boltzmann method for the 1D advection-diffusion equation [PDF]
Computer Methods in Materials Science, 2020 We analyze higher order error terms in a modified partial differential equation of a cascaded lattice Boltzmann method (CLBM) for one conservation law – the advection-diffusion equation. To inspect the behavior of the error terms we derived an equivalent
Robert Straka, Keerti Vardhan Sharma
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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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A Three-Dimensional Semiclassical Lattice Boltzmann Method for Lid-Driven Cubic Cavity Flows
Journal of Fluid Science and Technology, 2011 A three-dimensional lattice Boltzmann method based on the Uehling-Uhlenbeck Boltzmann-BGK equation is presented. The method is directly derived by projecting the kinetic governing equation onto the tensor Hermite polynomials and various hydrodynamic ...
Jaw-Yen YANG, Li-Hsin HUNG
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