Abstract
Modelling of flows around two cylinders in side by side arrangement using a simple overlapping grid system is carried out. The use of such grid system is intended to give a considerable reduction in terms of the CPU time, especially during the calculation of the vortex velocity. It has been shown that this method is not only time efficient, but also gives a better distribution of surface vorticity as the scattered vortices around the cylinder are now concentrated on grid point located at uniform distance from the cylinder. The engineering applications of this topic is to simulate the loading on structural elements due to the presence of anodes. The in-line and transverse force coefficients and the flow patterns obtained are presented in order to provide more detail description of the flow phenomena and interaction involved. The comparison of the results with both experimental and numerical evidence is also presented and the range within which the algorithm produces good results is identified.
Highlights
During the last five decades, various authors have attempted to model the flow around cylinders
Stansby and Slaouti (1993) provided a numerical model using a vortex in cell and random walk technique to simulate the convection and diffusion process of the flow around two cylinders by solving the Poisson’s equation which relates vorticity ω to the stream function ψ through ∇2ψ = −ω
Si m=1,m≠i which is derived from the Navier-Stokes equation on the basis that at any point Sn in the cylinder surface, the velocity parallel to the surface is given by ut = γ n
Summary
During the last five decades, various authors have attempted to model the flow around cylinders. Meneghini et al (1997; Williamson and Govardhan, 2004) applied similar method for predicting the flow around an oscillating circular cylinder. Kostecki (2014) used random vortex method for a single cylinder involving turbulent models for high Reynolds number while Laroussi (2015) investigated the flows around two cylinders in close proximity under the influence of initial conditions using a finite element based program, at low Reynolds Numbers. Gordo (2011) on the other side, applied the method to explore the flow around airfoils using meshless methodology called full cloud vortex method
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