Pressure boundary condition for the lattice Boltzmann method

Junk, Michael; Yang, Zhaoxia

Pressure boundary condition for the lattice Boltzmann method

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Datum

2009

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Computers & Mathematics with Applications. 2009, 58(5), pp. 922-929. Available under: doi: 10.1016/j.camwa.2009.02.006

Zusammenfassung

We propose a lattice Boltzmann realization for the hydrodynamic pressure drop condition introduced in [J. Heywood, R. Rannacher, S. Turek, Artificial boundaries and flux and pressure conditions for the incompressible Navier Stokes equations, Int. J. Numer. Methods Fluids 22 (1996) 325 352]. This condition has the advantage that only the average pressure needs to be prescribed at the boundary. In general, a second order accurate velocity and a first order accurate pressure are recovered with the proposed lattice Boltzmann implementation. The analytical investigation is supported by numerical simulations of a Poiseuille flow and a less symmetric flow with nontrivial pressure field.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Lattice Boltzmann method, Pressure condition, Pipe flow

Zitieren

ISO 690

JUNK, Michael, Zhaoxia YANG, 2009. Pressure boundary condition for the lattice Boltzmann method. In: Computers & Mathematics with Applications. 2009, 58(5), pp. 922-929. Available under: doi: 10.1016/j.camwa.2009.02.006

BibTex

@article{Junk2009Press-817,
  year={2009},
  doi={10.1016/j.camwa.2009.02.006},
  title={Pressure boundary condition for the lattice Boltzmann method},
  number={5},
  volume={58},
  journal={Computers & Mathematics with Applications},
  pages={922--929},
  author={Junk, Michael and Yang, Zhaoxia}
}

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