In this work, a hybrid lattice Boltzmann method (HLBM) is proposed, where the standard lattice Boltzmann implementation based on the Bhatnagar-Gross-Krook (LBGK) approximation is combined together with an unstructured finite-volume lattice Boltzmann model. The method is constructed on an overlapping grid system, which allows the coexistence of a uniform lattice nodes spacing and a coordinate-free lattice structure. The natural adaptivity of the hybrid grid system makes the method particularly suitable to handle problems involving complex geometries. Moreover, the provided scheme ensures a high-accuracy solution near walls, given the capability of the unstructured submodel of achieving the desired level of refinement in a very flexible way. For these reasons, the HLBM represents a prospective tool for solving multiscale problems. The proposed method is here applied to the benchmark problem of a two-dimensional flow past a circular cylinder for a wide range of Reynolds numbers and its numerical performances are measured and compared with the standard LBGK ones.

Di Ilio, G., Chiappini, D., Ubertini, S., Bella, G., Succi, S. (2017). Hybrid lattice Boltzmann method on overlapping grids. PHYSICAL REVIEW. E, 95(1), 013309 [10.1103/PhysRevE.95.013309].

Hybrid lattice Boltzmann method on overlapping grids

Chiappini D.;Ubertini S.;Bella G.;
2017-01-01

Abstract

In this work, a hybrid lattice Boltzmann method (HLBM) is proposed, where the standard lattice Boltzmann implementation based on the Bhatnagar-Gross-Krook (LBGK) approximation is combined together with an unstructured finite-volume lattice Boltzmann model. The method is constructed on an overlapping grid system, which allows the coexistence of a uniform lattice nodes spacing and a coordinate-free lattice structure. The natural adaptivity of the hybrid grid system makes the method particularly suitable to handle problems involving complex geometries. Moreover, the provided scheme ensures a high-accuracy solution near walls, given the capability of the unstructured submodel of achieving the desired level of refinement in a very flexible way. For these reasons, the HLBM represents a prospective tool for solving multiscale problems. The proposed method is here applied to the benchmark problem of a two-dimensional flow past a circular cylinder for a wide range of Reynolds numbers and its numerical performances are measured and compared with the standard LBGK ones.
2017
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ING-IND/08 - MACCHINE A FLUIDO
English
Di Ilio, G., Chiappini, D., Ubertini, S., Bella, G., Succi, S. (2017). Hybrid lattice Boltzmann method on overlapping grids. PHYSICAL REVIEW. E, 95(1), 013309 [10.1103/PhysRevE.95.013309].
Di Ilio, G; Chiappini, D; Ubertini, S; Bella, G; Succi, S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/204021
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