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Scientific article
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English

Enhanced single-node lattice Boltzmann boundary condition for fluid flows

Published inPhysical Review. E, vol. 103, no. 053308
Publication date2021
Abstract

We propose a procedure to implement Dirichlet velocity boundary conditions for complex shapes that use data from a single node only, in the context of the lattice Boltzmann method. Two ideas are at the base of this approach. The first is to generalize the geometrical description of boundary conditions combining bounce-back rule with interpolations. The second is to enhance them by limiting the interpolation extension to the proximity of the boundary. Despite its local nature, the resulting method exhibits second-order convergence for the velocity field and shows similar or better accuracy than the well-established Bouzidi's scheme for curved walls [M. Bouzidi, M. Firdaouss, and P. Lallemand, Phys. Fluids 13, 3452 (2001)]. Among the infinite number of possibilities, we identify several meaningful variants of the method, discerned by their approximation of the second-order nonequilibrium terms and their interpolation coefficients. For each one, we provide two parametrized versions that produce viscosity independent accuracy at steady state. The method proves to be suitable to simulate moving rigid objects or surfaces moving following either the rigid body dynamics or a prescribed kinematic. Also, it applies uniformly and without modifications in the whole domain for any shape, including corners, narrow gaps, or any other singular geometry.

Keywords
  • Lattice Boltzmann
  • LBM
  • CFD
  • Fluid Dynamics
  • Boundary Conditions
Notehttps://journals.aps.org/authors/transfer-of-copyright-agreement
Funding
  • European Commission - This project has received funding from the European Union's Horizon 2020 research and innovation programme under Grant Agreement No. 823712 (CompBioMed2 project).
Citation (ISO format)
MARSON, Francesco et al. Enhanced single-node lattice Boltzmann boundary condition for fluid flows. In: Physical Review. E, 2021, vol. 103, n° 053308. doi: 10.1103/PhysRevE.103.053308
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ISSN of the journal1539-3755
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Creation05/22/2021 1:39:00 PM
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