A comparative study of immersed-boundary and interpolated bounce-back methods in LBE. (1st May 2008)

• Record Type: Journal Article
• Authors: Peng, Yan; Luo, Li-Shi
• Is Part Of: Progress in computational fluid dynamics. Volume 8:Number 1-4(2008)
• Page Start: 156
• Page End: 167
• Publication Date: 2008-05-01
• Subjects: lattice Boltzmann equation -- LBE -- immersed boundary method -- interpolated bounce-back -- lattice Boltzmann method -- simulation; Fluid dynamics -- Data processing -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 620.10640285
• Languages: English
• ISSNs: 1468-4349

Abstract

The Interpolated Bounce-Back (IBB) method and Immersed Boundary (IB) method are compared for fluid-solid boundary conditions in the Lattice Boltzmann Equation (LBE) in terms of their numerical accuracy and computational efficiency. We carry out simulations for the flow past a circular cylinder asymmetrically placed in the channel in two dimensions with the Reynolds number Re = 20 and 100, corresponding to steady and unsteady flows, respectively. The results obtained by the LBE method are compared with the existing data. We observe that the LBE with either the IBB or IB methods for the no-slip boundary conditions exhibits a second-order rate of convergence. While the computational cost for both methods are comparable, the interpolated bounce-back method is more accurate than the immersed-boundary method with the same mesh size. Consequently the IBB method is more efficient computationally, while the IB method is easier to implement.