Pressure boundary condition for the lattice Boltzmann method

Type of Publication: Journal article
Author: Junk, Michael; Yang, Zhaoxia
Year of publication: 2009
Published in: Computers & Mathematics with Applications ; 58 (2009), 5. - pp. 922-929
DOI (citable link): https://dx.doi.org/10.1016/j.camwa.2009.02.006
Summary:
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.
Subject (DDC): 510 Mathematics
Keywords: Lattice Boltzmann method, Pressure condition, Pipe flow
Bibliography of Konstanz: Yes

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

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

2011-03-22T17:48:59Z terms-of-use 2011-03-22T17:48:59Z Junk, Michael 2009 Publ. in: Computers & Mathematics with Applications 58 (2009), 5, pp. 922-929 eng Pressure boundary condition for the lattice Boltzmann method Yang, Zhaoxia 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. Yang, Zhaoxia Junk, Michael

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