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On the Stability and Accuracy of the BGK, MRT and RLB Boltzmann Schemes for the Simulation of Turbulent Flows

Nathen, Patrick,; Gaudlitz, Daniel; Krause, Mathias J.; Adams, Nikolaus A.

This paper presents an analysis of the stability and accuracy of different Lattice Boltzmann schemes when employed for direct numerical simulations of turbulent flows. The Single-Relaxation-Time scheme of Bhatnagar, Gross and Krook (BGK), the Multi-Relaxation-Time scheme (MRT) and the Regularized Lattice Boltzmann scheme (RLB) are considered. The stability and accuracy properties of these schemes are investigated by computing three-dimensional Taylor-Green vortices representing homogeneous isotropic turbulent flows. Varying Reynolds numbers and grid resolutions were considered. As expected, the BGK scheme requires sufficiently high grid resolutions for stable and accurate simulations. Surprisingly, the MRT scheme when used without any turbulencemodel fails to obtain mesh convergence for the type of flow considered here. The RLB scheme allows for stable simulations but exhibits a strong dissipative behavior. A similar behaviorwas foundwhen employing thementioned LBMschemes for numerical simulations of turbulent channel flows at varying Reynolds numbers and resolutions. The obtained insights on accuracy and stability of the considered ... mehr

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Postprint §
DOI: 10.5445/IR/1000083814
Veröffentlicht am 01.04.2019
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Institut für Mechanische Verfahrenstechnik und Mechanik (MVM)
Publikationstyp Zeitschriftenaufsatz
Jahr 2018
Sprache Englisch
Identifikator ISSN: 1815-2406, 1991-7120
KITopen-ID: 1000083814
Erschienen in Communications in computational physics
Band 23
Heft 2
Seiten 846-876
Vorab online veröffentlicht am 31.03.2018
Schlagworte Lattice Boltzmann, homogeneous isotropic turbulence,wall bounded turbulent flows
Nachgewiesen in Web of Science
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