Abstract
Calculations of the lift and lift-induced drag in steady incompressible high-Reynolds-number flows are proposed in terms of volume integration of the Lamb vector (cross product of the vorticity and the velocity vector). Although conventional far-field methods can compute the profile drag by the volume integral, induced drag is usually obtained by Maskell’s method, which requires a two-dimensional plane cut from three-dimensional data. Using the Lamb vector integration, plane data reconstruction is not necessary, and a definition of the lift-induced drag in viscous flows is obtained. Furthermore, an insight of the drag production is provided by the analysis of the Lamb vector field. Numerical solutions of the flow around arbitrary-shaped bodies can be analyzed by the present method. In particular, the analysis of an elliptic wing is here proposed. The acquired aerodynamic forces are evaluated in comparison with the results of classical methods.
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