Journal Article

FZJ-2019-04852

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png A structured approach to the construction of stable linear Lattice Boltzmann collision operator

Otte, P. (Corresponding author)FZJ* ; Frank, M.

2020
Pergamon Press Oxford [u.a.]

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Please use a persistent id in citations: http://hdl.handle.net/2128/24254  doi:10.1016/j.camwa.2019.09.009

Abstract: We introduce a structured approach to the construction of linear BGK-type collision operators ensuring that the resulting Lattice-Boltzmann methods are stable with respect to a weighted L2-norm. The results hold for particular boundary conditions including periodic, bounce-back, and bounce-back with flipping of sign boundary conditions. This construction uses the equivalent moment-space definition of BGK-type collision operators and the notion of stability structures as guiding principle for the choice of the equilibrium moments for those moments influencing the error term only but not the order of consistency. The presented structured approach is then applied to the 3D isothermal linearized Euler equations with non-vanishing background velocity. Finally, convergence results in the strong discrete L∞-norm highlight the suitability of the structured approach introduced in this manuscript.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

Appears in the scientific report 2020

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Database coverage:
; ; Current Contents - Engineering, Computing and Technology ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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