Abstract—An interpolated velocity correction scheme for the simulation of the interaction between fluid and flexible boundary using an immersed boundary-lattice Boltzmann method (IB-LBM) is proposed. In the conventional IB-LBM, the velocity field on the immersed boundary is determined by interpolating from an Eluerian grid to a Lagrangian grid using a discrete Dirac delta function, which is not divergence-free. As a result, this method can generally suffer from poor volume conservation for the closed immersed boundary. The key idea of the proposed interpolated velocity correction scheme is correcting the interpolated velocity field to satisfy a discrete divergence-free constraint defined on the Lagrangian boundary in the fluid. The proposed scheme makes no modifications to solve Navier-Stokes (N-S) equations using the lattice Boltzmann method (LBM) on the Eulerian grid and also improves volume conservation for the closed immersed boundary. Two examples are presented to verify the efficiency and accuracy of the proposed scheme.
Index Terms—Interpolated velocity, immersed boundary method, lattice Boltzmann method, fluid-structure interaction, Navier-Stokes equations.
Y. G. Chen is with the School of Water Resources and Hydropower Engineering, Wuhan University, Wuhan 430072, P. R. China (e-mail: chenyongguang@wtu.edu.cn).
L. Wan and Y. G. Chen are with College of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, P. R. China (e-mail: wanli@wtu.edu.cn).
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Cite: Y. G. Chen and L. Wan, "Interpolated Velocity Correction Immersed Boundary-Lattice Boltzmann Method for Fluid Flows with Flexible Boundary," International Journal of Materials, Mechanics and Manufacturing vol. 3, no. 4, pp. 231-236, 2015.
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