AI Article Synopsis
- A new boundary scheme for the lattice Boltzmann method (LBM) is introduced to effectively handle the convection-diffusion equation at the interface of two phases with differing transport properties.
- * The scheme addresses challenges in maintaining flux continuity during transient analysis by modifying the collision operator and streaming process within LBM.
- * Asymptotic analysis confirms that with the right parameter values, the internal boundary condition can be met with second-order accuracy, and numerical tests show that this approach aligns well with analytical solutions.
Article Abstract
A boundary scheme in the lattice Boltzmann method (LBM) for the convection-diffusion equation, which correctly realizes the internal boundary condition at the interface between two phases with different transport properties, is presented. The difficulty in satisfying the continuity of flux at the interface in a transient analysis, which is inherent in the conventional LBM, is overcome by modifying the collision operator and the streaming process of the LBM. An asymptotic analysis of the scheme is carried out in order to clarify the role played by the adjustable parameters involved in the scheme. As a result, the internal boundary condition is shown to be satisfied with second-order accuracy with respect to the lattice interval, if we assign appropriate values to the adjustable parameters. In addition, two specific problems are numerically analyzed, and comparison with the analytical solutions of the problems numerically validates the proposed scheme.
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| http://dx.doi.org/10.1103/PhysRevE.90.013303 | DOI Listing |
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