Journal of the Korean Society of Visualization (한국가시화정보학회지)

The Korean Society of Visualization (한국가시화정보학회)
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The Cubic-Interpolated Pseudo-Particle Lattice Boltzmann Advection-Diffusion Model

이류확산 방정식 계산을 위한 입방보간유사입자 격자볼츠만 모델

  • Mirae, Kim (School of Mechanical Engineering, PNU) ;
  • Binqi, Chen (School of Aeronautics and Astronautics, University of Electronic Science and Technology of China) ;
  • Kyung Chun, Kim (Rolls-Royce and Pusan National University Technology Center in Korea)
  • Received : 2022.10.07
  • Accepted : 2022.11.10
  • Published : 2022.11.30
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Abstract

We propose a Cubic-Interpolated Pseudo-Particle Lattice Boltzmann method (CIP-LBM) for the convection-diffusion equation (CDE) based on the Bhatnagar-Gross-Krook (BGK) scheme equation. The CIP-LBM relies on an accurate numerical lattice equilibrium particle distribution function on the advection term and the use of a splitting technique to solve the Lattice Boltzmann equation. Different schemes of lattice spaces such as D1Q3, D2Q5, and D2Q9 have been used for simulating a variety of problems described by the CDE. All simulations were carried out using the BGK model, although another LB scheme based on a collision term like two-relation time or multi-relaxation time can be easily applied. To show quantitative agreement, the results of the proposed model are compared with an analytical solution.

Keywords

Acknowledgement

This work was supported by the National Research Foundation of Korea (NRF) grant, which is funded by the Korean government (MSIT) (No. 2020R1A5A8018822, No. 2021R1C1C2009287).

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