TY - JOUR
T1 - Finite volume scheme for the lattice Boltzmann method on curved surfaces in 3D
AU - Yang, Junxiang
AU - Tan, Zhijun
AU - Kim, Sangkwon
AU - Lee, Chaeyoung
AU - Kwak, Soobin
AU - Kim, Junseok
N1 - Funding Information:
This work is supported by the National Natural Science Foundation of China (61874077)
Funding Information:
The work of Z. Tan is supported by the National Nature Science Foundation of China (11971502), and Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University (2020B1212060032). S.K. Kim was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2022R1C1C2005275). The corresponding author (J.S. Kim) was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 2022R1A2C1003844). The authors would like to thank the reviewers for their valuable suggestions and comments to improve the paper.
Publisher Copyright:
© 2022, The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature.
PY - 2022/12
Y1 - 2022/12
N2 - 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.
AB - 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.
KW - 3D curved surfaces
KW - Finite volume scheme
KW - Fluid flows
KW - Lattice Boltzmann method
UR - http://www.scopus.com/inward/record.url?scp=85130708694&partnerID=8YFLogxK
U2 - 10.1007/s00366-022-01671-0
DO - 10.1007/s00366-022-01671-0
M3 - Article
AN - SCOPUS:85130708694
SN - 0177-0667
VL - 38
SP - 5507
EP - 5518
JO - Engineering with Computers
JF - Engineering with Computers
IS - 6
ER -