Consistent lattice Boltzmann methods for the volume averaged Navier-Stokes equations

被引：12

作者：

Bukreev, Fedor ^{[1
,2
]}

Simonis, Stephan ^{[1
,3
]}

Kummerlaender, Adrian ^{[1
,2
,3
]}

Jessberger, Julius ^{[1
,2
]}

Krause, Mathias J. ^{[1
,2
,3
]}

机构：

[1] Lattice Boltzmann Res Grp LBRG, Karlsruhe, Germany

[2] Inst Mech Proc Engn & Mech MVM, Karlsruhe, Germany

[3] Karlsruhe Inst Technol KIT, Inst Appl & Numer Math IANM, D-76131 Karlsruhe, Germany

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2023年 / 490卷

关键词：

Volume averaged Navier-Stokes; Lattice Boltzmann method; Consistency; Chapman-Enskog analysis; VERIFICATION;

D O I：

10.1016/j.jcp.2023.112301

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We derive a novel lattice Boltzmann scheme, which uses a pressure correction forcing term for approximating the volume averaged Navier-Stokes equations (VANSE) in up to three dimensions. With a new definition of the zeroth moment of the Lattice Boltzmann equation, spatially and temporally varying local volume fractions are taken into account. A Chapman-Enskog analysis, respecting the variations in local volume, formally proves the consistency towards the VANSE limit up to higher order terms. The numerical validation of the scheme via steady state and non-stationary examples approves the second order convergence with respect to velocity and pressure. The here proposed lattice Boltzmann method is the first to correctly recover the pressure with second order for space-time varying volume fractions. & COPY; 2023 Elsevier Inc. All rights reserved.

引用

页数：13

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