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Pressure boundary condition for the lattice Boltzmann method

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2009

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http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-106390
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https://doi.org/10.1016/j.camwa.2009.02.006
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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.

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Fachgebiet (DDC)
510 Mathematik

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Lattice Boltzmann method, Pressure condition, Pipe flow

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ISO 690JUNK, 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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