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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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Parametric lattice Boltzmann method [PDF]
Journal of Computational Physics, 2017 The discretized equilibrium distributions of the lattice Boltzmann method are presented by using the coefficients of the Lagrange interpolating polynomials that pass through the points related to discrete velocities and using moments of the Maxwell-Boltzmann distribution.
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Lattice Fluid Dynamics: Thirty-five Years Down the Road
Comptes Rendus. Mécanique, 2023 We discuss the role and impact of lattice fluid dynamics, namely Lattice Gas Cellular Automata and lattice Boltzmann, on the general framework of Computational Fluid Dynamics.
Succi, Sauro
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Shock wave structure in a lattice gas [PDF]
, 2007 The motion and structure of shock and expansion waves in a simple particle system, a lattice gas and cellular automaton, are determined in an exact computation. Shock wave solutions, also exact, of a continuum description, a model Boltzmann equation, are
Broadwell, James E., Han, Donghee
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Journal of Fluid Science and Technology, 2014 Three-dimensional homogeneous isotropic turbulence simulations are conducted using moment-based lattice Boltzmann method and the large-eddy simulation based lattice Boltzmann method.
Muhammad IZHAM +2 more
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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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An H-Theorem for the Lattice Boltzmann Approach to Hydrodynamics
, 1998 The lattice Boltzmann equation can be viewed as a discretization of the continuous Boltzmann equation. Because of this connection it has long been speculated that lattice Boltzmann algorithms might obey an H-theorem.
A. J Wagner +5 more
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Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation [PDF]
, 2006 We present a further theoretical extension to the kinetic theory based formulation of the lattice Boltzmann method of Shan et al (2006). In addition to the higher order projection of the equilibrium distribution function and a sufficiently accurate Gauss-
C. Cercignani +5 more
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Just-in-Time Fluid Flow Simulation on Mobile Devices Using OpenVisFlow and OpenLB
Applied SciencesThe present state of research in computational fluid dynamics (CFD) is marked by an ongoing process of refining numerical methods and algorithms with the goal of achieving accurate modeling and analysis of fluid flow and heat transfer phenomena ...
Dennis Teutscher +4 more
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, 2017 We are examining a new kind of lattice gas that closely resembles modern lattice Boltzmann methods. This new kind of lattice gas, that we call a Monte Carlo Lattice Gas, has interesting properties that shed light on the origin of the multi-relaxation ...
Blommel, Thomas, Wagner, Alexander J.
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