Pressure condition for lattice Boltzmann methods on domains with curved boundaries

Yang, Zhaoxia

Pressure condition for lattice Boltzmann methods on domains with curved boundaries

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Datum

2010

Publikationstyp

Zeitschriftenartikel

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Erschienen in

Computers & Mathematics with Applications. Elsevier. 2010, 59(7), pp. 2168-2177. ISSN 0898-1221. eISSN 1873-7668. Available under: doi: 10.1016/j.camwa.2009.08.074

Zusammenfassung

We propose a lattice Boltzmann algorithm for an average pressure boundary condition at outlets in pipe flow systems. The advantage of this boundary condition is that only the average pressure is used to recover the non-trivial flow fields. The asymptotic analysis shows that this algorithm works for general curved boundaries and renders a second order accurate velocity and a first order accurate pressure approximation of the incompressible Navier–Stokes solution. Here, we verify the accuracy by numerical simulations of a Poiseuille flow and a less symmetric flow with non-trivial pressure field in channels inclined with arbitrary angle, and flows in a pipe with three outlets.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Outflow condition; Pressure condition; Curved boundary; Lattice Boltzmann method

Zitieren

ISO 690

YANG, Zhaoxia, 2010. Pressure condition for lattice Boltzmann methods on domains with curved boundaries. In: Computers & Mathematics with Applications. Elsevier. 2010, 59(7), pp. 2168-2177. ISSN 0898-1221. eISSN 1873-7668. Available under: doi: 10.1016/j.camwa.2009.08.074

BibTex

@article{Yang2010-04Press-51587,
  year={2010},
  doi={10.1016/j.camwa.2009.08.074},
  title={Pressure condition for lattice Boltzmann methods on domains with curved boundaries},
  number={7},
  volume={59},
  issn={0898-1221},
  journal={Computers & Mathematics with Applications},
  pages={2168--2177},
  author={Yang, Zhaoxia}
}

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