FURTHER ACCURACY VERIFICATION OF A 2D ADAPTIVE MESH REFINEMENT METHOD USING STEADY FLOW PAST A SQUARE CYLINDER

Abstract The study applies a two-dimensional adaptive mesh refinement (AMR) method to estimate the coordinates of the locations of the centre of vortices in steady, incompressible flow around a square cylinder placed within a channel. The AMR method is robust and low cost, and can be applied to any incompressible fluid flow. The considered channel has a blockage ratio of $1/8$ . The AMR is tested on eight cases, considering flows with different Reynolds numbers ( $5\le Re\le 50$ ), and the estimated coordinates of the location of the centres of vortices are reported. For all test cases, the initial coarse meshes are refined four times, and the results are in good agreement with the literature where a very fine mesh was used. Furthermore, this study shows that the AMR method can capture the location of the centre of vortices within the fourth refined cells, and further confirms an improvement in the estimation with more refinements.