Analysis of 2D unsteady flow past a square cylinder at low Reynolds numbers with CFD and a mesh refinement method

A study of the behaviour of flow past a square cylinder for Reynolds numbers 10 and 20 is conducted with open source software Navier2d in Matlab and an adaptive mesh refinement method. The investigation starts from a uniform initial mesh and then refine the initial mesh using the adaptive mesh refinement method and the finite volume method implemented in Navier2d. The horizontal and vertical velocity component profiles, pressures and the velocity quiver are shown on the once refined meshes. The accuracy of the quiver plots on once refined mesh are examined by comparing them with the quiver plots on a finer mesh and considering the symmetry of the velocity fields and other characteristics.