Flow Over A Square Cylinder By BEM
Author(s)
L. ˇSkerget & J. Ravnik
Abstract
Flow of an incompressible viscous fluid is considered. The velocity-vorticity
formulation of the Navier–Stokes equations is used. The kinematics equation is
solved for boundary vorticity values using the Boit-Savart law. Solution of the
kinetics equation for the domain values is obtained by employing a macro element
approach. Using macro elements enables simulations on dense meshes, since it
substantially reduces the algorithm’s memory requirements.
The developed numerical algorithm has been used to simulate laminar flow over
a square cylinder in channel. Low Reynolds number steady state flow simulation
as well as transient simulation at higher Reynolds numbers has been investigated.
The results have been analysed in terms of velocity, vorticity and pressure field
distributions in the wake of the cylinder.
1 Introduction
Flows past bluff bodies are an interesting topic amongst engineers and researchers.
A square cylinder is a basic example of such flows, its industrial applicability
ranging from wind induced motion to turbulent sound generation. In general flows
past bluff bodies exhibit complex phenomena such as separation, reattachment or
vortex shedding.
The numerical benchmark for laminar incompressible flow over a square
cylinder was made by Breuer et al. [1] using lattice Boltzmann and finite
volume methods. Recently turbulent flow over a square cylinder was considered
by Sohankar [2] using the Large eddy simulation approach. Flow as well as
heat transfer was considered by De and Dalal [3] for a study of a natural
convection around a headed square cylinder in an enclosure. Ozgoren [4] studied
experimentally the flow structure in the downstream of square and circular
cylinders.
Keywords
Related Book
Other papers in this volume
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