Finite volume scheme for the lattice Boltzmann method on curved surfaces in 3D

Junxiang Yang, Zhijun Tan, Sangkwon Kim, Chaeyoung Lee, Soobin Kwak, Junseok Kim

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The fluid flows on the surface widely exist in the natural world, such as the atmospherical circulation on a planet. In this study, we present a finite volume lattice Boltzmann method (LBM) for simulating fluid flows on curved surfaces in three-dimensional (3D) space. The curved surfaces are discretized using unstructured triangular meshes. We choose the D3Q19 lattice and the triangular meshes for the velocity and spatial discretizations, respectively. In one time iteration, we only need to compute the distribution functions on each vertex in a fully explicit form. Therefore, our proposed method is highly efficient for solving fluid flows on curved surfaces using LBM. To keep the velocity field tangential to the surfaces, a practical velocity correction technique is adopted. We perform a series of computational experiments on various curved surfaces such as sphere, torus, and bunny to demonstrate the performance of the proposed method.

Original languageEnglish
Pages (from-to)5507-5518
Number of pages12
JournalEngineering with Computers
Issue number6
Publication statusPublished - 2022 Dec

Bibliographical note

Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature.


  • 3D curved surfaces
  • Finite volume scheme
  • Fluid flows
  • Lattice Boltzmann method

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation
  • General Engineering
  • Computer Science Applications


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