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Discrete lattice effect of various forcing methods of body force on immersed Boundary-Lattice Boltzmann method

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Abstract

We investigate the discrete lattice effect of various forcing methods in the lattice Boltzmann method (LBM) to include the body force obtained from the immersed boundary method (IBM). In the immersed boundary lattice Boltzmann method (IB-LBM), the LBM needs a forcing method to involve the body force on a forcing point near the immersed boundary that is calculated by IBM. The proper forcing method in LBM is derived to include the body force, which appears to resolve problems such as multiphase flow, non-ideal gas behavior, etc. Many researchers have adopted different forcing methods in LBM to involve the body force from IBM, even when they solved similar problems. However, it is necessary to evaluate the discrete lattice effect, which originates from different forcing methods in LBM, to include the effect of the body force from IBM on the results. Consequently, in this study, a rigorous analysis of the discrete lattice effect for different forcing methods in IB-LBM is performed by solving various problems.

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Correspondence to ManYeong Ha.

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Recommended by Associate Editor Gihun Son

ManYeong Ha received his B.S. degree from Pusan National University, Korea, in 1981, his M.S. degree, in 1983, from Korea Advanced Institute of Science and Technology, Korea, and his Ph.D degree from Pennsylvania State University, USA in 1990. Dr. Ha is currently a Professor at the School of Mechanical Engineering at Pusan National University in Busan, Korea. His research interests are focused on thermal management, computational fluid dynamics, and micro/nano fluidics.

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Son, S.W., Yoon, H.S., Jeong, H.K. et al. Discrete lattice effect of various forcing methods of body force on immersed Boundary-Lattice Boltzmann method. J Mech Sci Technol 27, 429–441 (2013). https://doi.org/10.1007/s12206-012-1256-z

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