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Crystallographic Lattice Boltzmann Method

طريقة بولتزمان للشبكة البلورية
Authors: Manjusha Namburi; Siddharth Krithivasan; Santosh Ansumali;

Crystallographic Lattice Boltzmann Method

Abstract

AbstractCurrent approaches to Direct Numerical Simulation (DNS) are computationally quite expensive for most realistic scientific and engineering applications of Fluid Dynamics such as automobiles or atmospheric flows. The Lattice Boltzmann Method (LBM), with its simplified kinetic descriptions, has emerged as an important tool for simulating hydrodynamics. In a heterogeneous computing environment, it is often preferred due to its flexibility and better parallel scaling. However, direct simulation of realistic applications, without the use of turbulence models, remains a distant dream even with highly efficient methods such as LBM. In LBM, a fictitious lattice with suitable isotropy in the velocity space is considered to recover Navier-Stokes hydrodynamics in macroscopic limit. The same lattice is mapped onto a cartesian grid for spatial discretization of the kinetic equation. In this paper, we present an inverted argument of the LBM, by making spatial discretization as the central theme. We argue that the optimal spatial discretization for LBM is a Body Centered Cubic (BCC) arrangement of grid points. We illustrate an order-of-magnitude gain in efficiency for LBM and thus a significant progress towards feasibility of DNS for realistic flows.

Keywords

Binary Fluid Systems, Computational Mechanics, Geometry, Mechanics, Mathematical analysis, Quantum mechanics, Article, Immersion Techniques, Reynolds number, Engineering, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Electrical and Electronic Engineering, Grid, Numerical Simulation, Physics, Computational science, Lattice Boltzmann methods, Acoustics, Isotropy, Applied mathematics, Computer science, Lattice (music), Immersed Boundary Method, Modern Electrostatic Gas Cleaning Technologies and Methods, Turbulence, Cartesian coordinate system, Physical Sciences, Vortex-Induced Vibrations in Fluid Flow, Lattice Boltzmann Method, Statistical physics, Mathematics, Lattice Boltzmann Method for Complex Flows, Discretization, Direct numerical simulation

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
30
Top 10%
Top 10%
Top 10%
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