Computational simulation of compressible Newtonian flow past circular and square bluff bodies

In this paper, we concerned with the study of an essential and intriguing aspect of fluid with bluff bodies. Mainly, the viscosity is highlighted on the effect of bluff circular and square bodies that immersed in a compressible Newtonian fluid. An accurate Taylor-Galerkin/Pressure-Correction (TG/PC) algorithm is employed to address this phenomenon computationally. In addition, and given the compressible nature of the fluid, determination of density requires to use specific state equation, which is incorporated with the governing fluid equations. The impact of viscosity (u) on various components, encompassing velocity (v), pressure (p), and density (p) represents the main aim in this investigation. Furthermore, a detailed comparison between compressible and incompressible fluids based on the distinct effect arising from bluff bodies of circular or square shapes is provided. The findings emphasized on the reliability and accuracy of the numerical method and aligning consistently with physical phenomena, and its compatibility with the previous research.