Abstract
This work is concerned with the lattice Boltzmann computation of two-dimensional incompressible viscous flow past a square cylinder confined in a channel. It is known that the nature of the flow past cylindrical obstacles is very complex. In the present work, computations are carried out both for steady and unsteady flows using lattice Boltzmann method. Effects of Reynolds number, blockage ratio, and channel length are studied in detail. As good care has been taken to include appropriate measures in the computational method, these results enjoy good credibility. To sum up, the present study reveals many interesting features of square cylinder problem and demonstrates the capability of the lattice Boltzmann method to capture these features.
Highlights
Incompressible viscous flow around a cylinder with square cross-section confined in a channel is one of the important problems in computational fluid dynamics CFD 1– 4
It is known that the presence of wall confinement is one of the common examples in many practical flow situations e.g., road vehicles, heat exchangers, flow around tall buildings, suspension bridges, etc. , and the study of effect of wall confinement on flow field characteristics is of crucial importance 5–7
Computations are carried out for a blockage ratio B H/D 8 at different Reynolds numbers with the help of single-relaxation-time LBM method based on the D2Q9 model
Summary
Incompressible viscous flow around a cylinder with square cross-section confined in a channel is one of the important problems in computational fluid dynamics CFD 1– 4. To demonstrate the ability of present lattice Boltzmann Method to handle flows over square geometries confined in a channel without much difficulty, in the present work, the influence of the locations of channel wall, that is, blockage effect, outlet boundary location, and different lengthwise cylinder locations are considered. Another objective of this present work is to capture the unsteady flow states characterized by the square cylinder at relatively higher Reynolds numbers
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