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Grid refinement in lattice Boltzmann methods based on volumetric formulation

Author

Listed:
  • Chen, H.
  • Filippova, O.
  • Hoch, J.
  • Molvig, K.
  • Shock, R.
  • Teixeira, C.
  • Zhang, R.

Abstract

We describe a general algorithmic concept for grid refinement in the lattice Boltzmann method. Unlike most of the previously known approaches, the present one is based on volumetric formulation so that conservation laws are exactly guaranteed.

Suggested Citation

  • Chen, H. & Filippova, O. & Hoch, J. & Molvig, K. & Shock, R. & Teixeira, C. & Zhang, R., 2006. "Grid refinement in lattice Boltzmann methods based on volumetric formulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(1), pages 158-167.
    • Handle: RePEc:eee:phsmap:v:362:y:2006:i:1:p:158-167
    DOI: 10.1016/j.physa.2005.09.036
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    Citations

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    Cited by:

    1. Machado, Raúl, 2012. "On pressure and corner boundary conditions with two lattice Boltzmann construction approaches," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 84(C), pages 26-41.
    2. Neumann, Philipp & Bungartz, Hans-Joachim, 2015. "Dynamically adaptive Lattice Boltzmann simulation of shallow water flows with the Peano framework," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 795-804.
    3. Premnath, Kannan N. & Pattison, Martin J. & Banerjee, Sanjoy, 2009. "Dynamic subgrid scale modeling of turbulent flows using lattice-Boltzmann method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(13), pages 2640-2658.
    4. Foroughi, Sajjad & Jamshidi, Saeid & Masihi, Mohsen, 2013. "Lattice Boltzmann method on quadtree grids for simulating fluid flow through porous media: A new automatic algorithm," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 4772-4786.
    5. Reyes Barraza, J.A. & Deiterding, R., 2022. "A curvilinear lattice Boltzmann scheme for thermal flows," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 405-420.

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