Finite point based numerical study on the unsteady laminar wake behind square cylinders

Abstract

Purpose

The purpose of this paper is to present numerical study on the behaviour of 2D unsteady incompressible laminar wakes behind square cylinders.

Design/methodology/approach

The numerical method that has been developed is based on a finite point formulation characterised by its weak connectivity requirements. This formulation allows for a patched unstructured approach to computational domain modelling that is of interest for industrial applications. Time evolution of pressure is computed by using a pseudo‐compressibility relaxation model that is based on physical considerations.

Findings

This model is characterised by the fact that no sub‐iterations on a numerical pseudo‐time are required so that computational efficiency is increased. Algorithm stability requires the use of second and fourth order artificial viscosity operators that effectively change the order of the equations. A discussion is included regarding the boundary conditions for these operators that do not influence vortex shedding behaviour.

Research limitations/implications

Bearing in mind the industrial drive (MEMS design) that the authors have in mind, solver validation has been addressed at two levels: global coefficients (lift, drag and Strouhal number) were compared with those published in the specialised literature, while local velocity and rms profiles were compared with those obtained after performing a specific low velocity wind tunnel testing campaign (Reynolds numbers in the range from 110 to 268).

Practical implications

A sensitivity analysis of the results obtained is presented and it shows that the solver numerical robustness makes it amenable for project oriented applications.

Originality/value

The formulation being presented is competitive and could be considered as a potential alternative to other approaches.

Citation

Mendez, B. and Velazquez, A. (2007), "Finite point based numerical study on the unsteady laminar wake behind square cylinders", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 17 No. 1, pp. 108-132. https://doi.org/10.1108/09615530710716108