A comparative study of direct-forcing immersed boundary-lattice Boltzmann methods for stationary complex boundaries
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abstract
AbstractIn this study, we assess several interface schemes for stationary complex boundary flows under the directforcing immersed boundarylattice Boltzmann methods (IBLBM) based on a splitforcing lattice Boltzmann equation (LBE). Our strategy is to couple various interface schemes, which were adopted in the previous directforcing immersed boundary methods (IBM), with the splitforcing LBE, which enables us to directly use the directforcing concept in the lattice Boltzmann calculation algorithm with a secondorder accuracy without involving the NavierStokes equation. In this study, we investigate not only common diffuse interface schemes but also a sharp interface scheme. For the diffuse interface scheme, we consider explicit and implicit interface schemes. In the calculation of velocity interpolation and force distribution, we use the 2 and 4point discrete delta functions, which give the secondorder approximation. For the sharp interface scheme, we deal with the exterior sharp interface scheme, where we impose the force density on exterior (solid) nodes nearest to the boundary. All tested schemes show a secondorder overall accuracy when the simulation results of the TaylorGreen decaying vortex are compared with the analytical solutions. It is also confirmed that for stationary complex boundary flows, the sharper the interface scheme, the more accurate the results are. In the simulation of flows past a circular cylinder, the results from each interface scheme are comparable to those from other corresponding numerical schemes. Copyright 2010 John Wiley & Sons, Ltd.
published proceedings
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
author list (cited authors)
Kang, S. K., & Hassan, Y. A.
citation count
190
complete list of authors
Kang, Shin K||Kang, Shin K||Hassan, Yassin A||Hassan, Yassin A
