Lattice Kinetic Theory in a Comoving Galilean Reference Frame

We prove that the fully discrete lattice Boltzmann method is invariant with respect to Galilean transformation. Based on this finding, a novel class of shifted lattices is proposed which dramatically increases the operating range of lattice Boltzmann simulations, in particular, for gas dynamics appl...

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Bibliographic Details
Published in:Physical review letters 2016-07, Vol.117 (1), p.010604-010604, Article 010604
Main Authors: Frapolli, N, Chikatamarla, S S, Karlin, I V
Format: Article
Language:English
Subjects:
Algorithms
Computer simulation
Fluid dynamics
Fluid flow
Invariants
Lattices
Supersonic flow
Transformations
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Summary:We prove that the fully discrete lattice Boltzmann method is invariant with respect to Galilean transformation. Based on this finding, a novel class of shifted lattices is proposed which dramatically increases the operating range of lattice Boltzmann simulations, in particular, for gas dynamics applications. A simulation of vortex-shock interaction is used to demonstrate the accuracy and efficiency of the proposed lattices. With one single algorithm it is now possible to simulate a broad range of applications, from low Mach number flows to transonic and supersonic flow regimes.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.117.010604