By Richard von Mises, Kurt O. Friedrichs

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Second, the diagonal d2k between corner points [x4k , y4k , z4k ]T and [x2k , y2k , z2k ]T is calculated. 7: The local Panel Frame of Reference FP in Faero (left) and a magnification of a single panel’s local frame with origin at the panel’s collocation point (right), also in F aero . 20) For each panel, the XP -axis of FP points aft and is constructed by the corner points [x3k , y3k , z3k ]T and [x4k , y4k , z4k ]T , by the normal vector nk = e3k = [xe3k , ye3k , ze3k ]T and by the collocation point [xcolk , ycolk , zcolk ]T , which is the origin of FP .

1 the fundamental 1D correlation functions f (ξ) and g(ξ) were summarized. 4. 2: Longitudinal correlation. 3: Lateral correlation. However, an aircraft’s flight path is never exactly aligned with either of the three axes of the frame FE . Because aerodynamic effects due to the finite dimensions of aircraft flying through the turbulent atmosphere are of importance (see chapters 7 through 12), the covariance function matrix Cuu (ξ) of the atmospheric turbulence velocity components [u1 , u2 , u3 ]T for the arbitrary spatial separation vector ξ = [ξ1 , ξ2 , ξ3 ]T is required.

2 Short summary of steady linearized potential flow theory 37 the quadri-lateral doublet-panel and the quadri-lateral source panel. Both the doubletstrength (µ) and the source-strength (σ) are taken to be constant over a panel. Therefore, the panel-method used in this thesis is a “low-order” panel method, see also references [8, 9, 10, 11, 12]. The steady Linearized Potential Flow model, as used in this chapter, will be extended to an unsteady Linearized Potential flow model in chapter 4. 1 Flow equations In this section a short summary of the applied Linearized Potential Flow theory will be given.