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Lattice-Boltzmann Simulations of the Convection-Diffusion Equation with Different Reactive Boundary Conditions

Author

Listed:
  • Rui Du

    (School of Mathematics, Southeast University, Nanjing 210096, China)

  • Jincheng Wang

    (State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi’an 710072, China)

  • Dongke Sun

    (School of Mechanical Engineering, Southeast University, Nanjing 210096, China)

Abstract

We have tested the accuracy and stability of lattice-Boltzmann (LB) simulations of the convection-diffusion equation in a two-dimensional channel flow with reactive-flux boundary conditions. We compared several different implementations of a zero-concentration boundary condition using the Two-Relaxation-Time (TRT) LB model. We found that simulations using an interpolation of the equilibrium distribution were more stable than those based on Multi-Reflection (MR) boundary conditions. We have extended the interpolation method to include mixed boundary conditions, and tested the accuracy and stability of the simulations over a range of Damköhler and Péclet numbers.

Suggested Citation

  • Rui Du & Jincheng Wang & Dongke Sun, 2019. "Lattice-Boltzmann Simulations of the Convection-Diffusion Equation with Different Reactive Boundary Conditions," Mathematics, MDPI, vol. 8(1), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2019:i:1:p:13-:d:299893
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    References listed on IDEAS

    as
    1. Du, Rui & Sun, Dongke & Shi, Baochang & Chai, Zhenhua, 2019. "Lattice Boltzmann model for time sub-diffusion equation in Caputo sense," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 80-90.
    2. Patrick B. Warren, 1997. "Electroviscous Transport Problems via Lattice-Boltzmann," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 8(04), pages 889-898.
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