**5. Flow field around a sphere without free surface**

The results obtained for the flow field around a sphere without free surface are presented below.

Figure 3 presents the pressure field and stream lines around a sphere. The figure shows two vortices attached to the trailing edge of the body, the stagnation point (in red) at the leading edge, and two regions of low pressure (in blue) at the top and bottom of the sphere. This result agrees with what is observed experimentally. For Reynolds number equal to 200, two vortices attached to the trailing edge of the sphere are observed experimentally.

Fig. 3. Pressure field and stream lines around a sphere for *Re*=200.

The results obtained for the flow field around a sphere without free surface are presented

Figure 3 presents the pressure field and stream lines around a sphere. The figure shows two vortices attached to the trailing edge of the body, the stagnation point (in red) at the leading edge, and two regions of low pressure (in blue) at the top and bottom of the sphere. This result agrees with what is observed experimentally. For Reynolds number equal to 200, two

vortices attached to the trailing edge of the sphere are observed experimentally.

Fig. 3. Pressure field and stream lines around a sphere for *Re*=200.

Fig. 2. Computational mesh.

below.

**5. Flow field around a sphere without free surface** 

Figure 4 presents the temporal series of the total drag (in black), frictional drag (in blue), and pressure drag (in red) coefficients for the sphere for Reynolds number equal to 200. Table 1 presents a comparison between the total drag coefficient obtained in the present work and other experimental and numerical data obtained from the literature. The agreement among the three results is remarkable.

Fig. 4. Frictional, pressure, and total drag coefficients for *Re*=200.


Table 1. Comparison of drag coefficient comparison.
