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Title: Crystallographic Lattice Boltzmann Method
Authors: Namburi, Manjusha
Krithivasan, Siddharth
Ansumali, Santosh
Keywords: Fluid Mechanics
Navier-Stokes Equation
Turbulent Flows
Bgk Models
Fluid Turbulence
Issue Date: 2016
Publisher: Nature Publishing Group
Citation: Namburi, M.; Krithivasan, S.; Ansumali, S., Crystallographic Lattice Boltzmann Method. Scientific Reports 2016, 6, 10
Scientific Reports
Abstract: Current 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.
Description: Open Access
ISSN: 2045-2322
Appears in Collections:Research Articles (Santosh Ansumali)

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