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Second-order convergence of the deviatoric stress tensor in the standard Bhatnagar-Gross-Krook lattice Boltzmann method

T. Krüger, F. Varnik, D. Raabe

Physical Review E, 82, 025701, (2010)

DOI: 10.1103/PhysRevE.82.025701

Download: BibTEX

It is shown numerically that the deviatoric stress tensor is second-order accurate in the bulk Bhatnagar-Gross-Krook lattice Boltzmann (LB) method. In an earlier work [T. Krüger et al., Phys. Rev. E 79, 46704 (2009)], we have already predicted the second-order convergence. However, numerical simulations using a duct flow were not fully in line with this prediction. In particular, the convergence rate of the stress tensor was observed to depend on the LB boundary condition. In the present paper, we examine a pure bulk system, the decaying Taylor-Green vortex flow. Our prediction on the second-order accuracy of the stress tensor is unambiguously evidenced via these studies.

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{"type":"article", "name":"t.krüger20108", "author":"T. Krüger and F. Varnik and D. Raabe", "title":"Secondorder convergence of the deviatoric stress tensor in the standard BhatnagarGrossKrook lattice Boltzmann method", "journal":"Physical Review E", "volume":"82", "OPTnumber":"2", "OPTmonth":"8", "year":"2010", "OPTpages":"025701", "OPTnote":"", "OPTkey":"lattice boltzmann method; bhatnagar-gross-krook; deviatoric stress tensor;", "DOI":"10.1103/PhysRevE.82.025701"}
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