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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 8314615, 15 pages
Research Article

A Comparative Study on Evaluation Methods of Fluid Forces on Cartesian Grids

1Institute of Space and Astronautical Science, Japan Aerospace Exploration Agency, Yoshinodai 3-1-1 1816, Sagamihara, Kanagawa, Japan
2Department of Aerospace Engineering, Tohoku University, Sendai, Miyagi, Japan
3Institute of Industrial Science, The University of Tokyo, 7-1-26, Minatojima-minimi-machi, Chuo-ku, Kobe, Hyogo, Japan

Correspondence should be addressed to Taku Nonomura;

Received 7 April 2017; Revised 31 May 2017; Accepted 14 June 2017; Published 19 July 2017

Academic Editor: Rahmat Ellahi

Copyright © 2017 Taku Nonomura and Junya Onishi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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