WSEAS Transactions on Fluid Mechanics
Print ISSN: 1790-5087, E-ISSN: 2224-347X
Volume 16, 2021
A Discrete Linear Stability Analysis of Two-dimensional Laminar Flow Past a Square Cylinder
Authors: , , ,
Abstract: The present study focuses on the development of a numerical framework for predicting the onset of
vortex sheading due to flow past a square cylinder. For this a discrete linear stability analysis framework for
two-dimensional laminar flows have used. Initially the frame work is validating by using the analysis of
thermal stability of flows in the discrete numerical sense. The two-dimensional base flow for various values of
the controlling parameter (Reynolds number for flow past a square cylinder and Rayleigh number for doubleglazing problem) is computed numerically by using the lattice Boltzmann method. The governing equations,
discretized using the finite-difference method in two-dimensions and are subsequently written in the form of
perturbed equations with two-dimensional disturbances. These equations are linearized around the base flow
and form a set of partial differential equations that govern the evolution of the perturbations. The eigenvalues,
stability of the base flow and the points of bifurcations are determined using normal mode analysis. The
eigenvalue spectrum predicts that the critical Reynolds number is 52 for the flow past a square cylinder. The
results are consistent with the previous numerical and experimental observations.
Search Articles
Pages: 109-119
DOI: 10.37394/232013.2021.16.11