A unified hybrid lattice-Boltzmann method for compressible flows: Bridging between pressure-based and density-based methods - Archive ouverte HAL Access content directly
Journal Articles Physics of Fluids Year : 2021

A unified hybrid lattice-Boltzmann method for compressible flows: Bridging between pressure-based and density-based methods

Abstract

A unified expression for high-speed compressible segregated consistent lattice Boltzmann methods, namely, pressure-based and improved density-based methods, is given. It is theoretically proved that in the absence of forcing terms, these approaches are strictly identical and can be recast in a unique form. An important result is that the difference with classical density-based methods lies in the addition of fourth-order term in the equilibrium function. It is also shown that forcing terms used to balance numerical errors in both original pressure-based and improved density-based methods can be written in a generalized way. A hybrid segregated efficient lattice-Boltzmann for compressible flow based on this unified model, equipped with a recursive regularization kernel, is proposed and successfully assessed on a wide set of test cases with and without shock waves.
Fichier principal
Vignette du fichier
article_final.pdf (6.22 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03324229 , version 1 (23-08-2021)

Identifiers

Cite

G. Farag, T. Coratger, G. Wissocq, S. Zhao, Pierre Boivin, et al.. A unified hybrid lattice-Boltzmann method for compressible flows: Bridging between pressure-based and density-based methods. Physics of Fluids, 2021, 33 (8), pp.086101. ⟨10.1063/5.0057407⟩. ⟨hal-03324229⟩
50 View
191 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More