We investigate the accuracy and the computational efficiency of the numerical schemes for evaluating fluid forces in Cartesian\ngrid systems. A comparison is made between two different types of schemes, namely, polygon-based methods and mesh-based\nmethods, which differ in the discretization of the surface of the object. The present assessment is intended to investigate the effects\nof the Reynolds number, the object motion, and the complexity of the object surface.The results show that the mesh-based methods\nwork as well as the polygon-based methods, even if the object surface is discretized in a staircase manner. In addition, the results\nalso show that the accuracy of the mesh-based methods is strongly dependent on the evaluation of shear stresses, and thus they\nmust be evaluated by using a reliable method, such as the ghost-cell or ghost-fluid method.
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