Flexible grid generation for complex geometries in two space dimensions based on variational principles

A method is described that is suitable for the numerical generation of boundary-conforming curvilinear coordinate systems. The method is based on the decomposition of a multiply connected domain into a number of simply connected zones. In each zone the grid is computed by solving a system of Euler equations that minimizes a functional of the...

A finite difference method for the calculation of transonic flow about a wing, based on a small perturbation theory

A calculation method, based upon transonic small perturbation theory, is presented for the transonic flow about a semi-wing. The influence of a body can be simulated by prescribing appropriate transverse velocities in a vertical plane through the wing root. Due to the small perturbation assumption the wing should be thin and have little dihedral...

Modified version of LTRAN2; a calculation method for inviscid transonic flow about thin airfoils in moderately slow unsteady motion

A method is discussed for the calculation of inviscid transonic flow about thin airfoils in moderately slow unsteady motion. It is an extension of a method which was developed by Ballhaus and Goorjian of NASA Ames and which is applicable for strictly slow unsteady motions only. The modifications involve extra unsteady terms in the boundary...

Remarks on the suitability of various transonic small perturbation equations to describe three-dimensional transonic flow; examples of computations using a fully-conservative rotated difference scheme

Parameter estimation in mathematical models of the esro 1A attitude dynamics using numerical differentiation of measured data

Purpose of the present study is the investigation of the validity of a new algorithm for the estimation of parameters related to spacecraft torques. The algorithm is based on data reduction by numerical differentiation using smoothing splines. Measured data of the ESRO lA "Aurorae" spacecraft are used. It is concluded that the new data reduction...

An introductory description of a hodograph method for transonic shock-free aerofoil design

A design method for transonic shock-free aerofoils using analytic hodograph theory is sketched. A user-oriented outline of the program system that has been developed is presented. A number of examples of computed aerofoils show that the performance of the program system seems to be sifficient for advanced transonic shock-free aerofoil design.

Transonic shock-free aerofoil design by analytic hodograph methods

It is known that design of arbitrary shock-free transonic aerofoils is possible by solving general boundary value problems for the mixed elliptichyperbolic hodograph equations. Based on this approach a design method for shock-free transonic aerofoils has been developed. Some problems of the mathematical theory underlying the method are discussed...

An approximate conformal mapping method using harmonic polynomials

An approxinate m ethod is presented for the mapping of simply - connected closed regions bounded by a smooth ourve onto a circular disk using harmonic polymials. Due attention is being paid to the handling of the singularities that usually disturb the regularity of the mapping near the boundary of the region. Some numerical examples illustrate...

Examples of rear-loaded profiles computed with hodograph theory

The approximate solution of the interior Dirichlet problem in terms of a linear combination of particular solutions using a non-linear error norm on the position of the boundary contour