An improved lattice Boltzmann D3Q19 method based on an alternative equilibrium discretization

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Details zur Publikation

Autorinnen und Autoren: Rüde U, Bauer M
Zeitschrift: arXiv
Jahr der Veröffentlichung: 2018
ISSN: 2331-8442


Abstract

Lattice Boltzmann simulations of three-dimensional, isothermal hydrodynamics often use either the D3Q19 or the D3Q27 velocity sets. While both models correctly approximate Navier-Stokes in the continuum limit, the D3Q19 model is computationally less expensive but has some known deficiencies regarding Galilean invariance, especially for high Reynolds number flows. In this work we present a novel methodology to construct lattice Boltzmann equilibria for hydrodynamics directly from the continuous Maxwellian equilibrium. While our new approach reproduces the well known LBM equilibrium for D2Q9 and D3Q27 lattice models, it yields a different equilibrium formulation for the D3Q19 stencil. This newly proposed formulation is shown to be more accurate than the widely used second order equilibrium, while having the same computation costs. We present a steady state Chapman-Enskog analysis of the standard and the improved D3Q19 model and conduct numerical experiments that demonstrate the superior accuracy of our newly developed D3Q19 Equilibrium.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Bauer, Martin
Lehrstuhl für Informatik 10 (Systemsimulation)
Rüde, Ulrich Prof. Dr.
Lehrstuhl für Informatik 10 (Systemsimulation)


Zitierweisen

APA:
Rüde, U., & Bauer, M. (2018). An improved lattice Boltzmann D3Q19 method based on an alternative equilibrium discretization. arXiv. https://dx.doi.org/10.1016/j.camwa.2010.03.022

MLA:
Rüde, Ulrich, and Martin Bauer. "An improved lattice Boltzmann D3Q19 method based on an alternative equilibrium discretization." arXiv (2018).

BibTeX: 

Zuletzt aktualisiert 2019-15-04 um 09:49