On the remarkable accuracy of the vortex lattice method. (English) Zbl 0272.65121


65R20 Numerical methods for integral equations
Full Text: DOI


[1] Robinson, A.; Laurmann, J.A., Wing theory, (1956), Cambridge University Press Cambridge, England · Zbl 0073.41901
[2] Hedman, S.G., Vortex lattice method for calculation of quasi-steady state loadings on thin elastic wings in subsonic flow, ()
[3] Woodward, F.A., A unified approach to the analysis and design of wing-body combinations at subsonic and supersonic speeds, AIAA paper, 68-55, (1968)
[4] Woodward, F.A.; Larson, J.W., A method of optimizing camber surfaces for wing-body combinations at supersonic speeds — theory and application, ()
[5] Lissaman, P.B.S., A linear theory for the jet flap in ground effect, AIAA journal, 6, no. 7, 1356-1362, (1968) · Zbl 0164.27603
[6] Multhopp, H., Methods for calculating the lift distribution of wings (subsonic lifting surface theory), (1950), Aeronautical Research Council England, R and M 2884
[7] Garner, H.C.; Hewitt, B.L.; Labrujere, T.E., Comparison of three methods for the evaluation of subsonic lifting surface theory, ()
[8] Landahl, M.T.; Stark, V.E., Numerical lifting surface theory, problems and progress, AIAA journal, 6, no. 11, 2049-2060, (1968) · Zbl 0187.49702
[9] Giesing, J.P., Lifting surface theory for wing-fuselage combinations, () · Zbl 0184.52201
[10] Albano, E.; Rodden, W.P., A doublet lattice method for calculating lift distributions on oscillating surfaces in subsonic flows, AIAA journal, 7, no. 2, 279-285, (1969) · Zbl 0202.26002
[11] James, R.M., Comments and numerical experiments concerning the computation of steady and unsteady linear wing theory, ()
[12] Titchmarsh, E.C., Introduction to the theory of Fourier integrals, (1948), Oxford University Press Oxford, England · Zbl 0031.03202
[13] Muskhelishvili, N.I., Singular integral equations, () · Zbl 0108.29203
[14] Ashley, H.; Landahl, M.T., Aerodynamics of wings and bodies, (1965), Addison-Wesley, Inc Reading, Mass · Zbl 0161.22502
[15] Heaslet, M.A.; Lomax, H., Supersonic and transonic small perturbation theory, (), Section D
[16] James, R.M., On the remarkable accuracy of the vortex lattice discretization in thin wing theory, ()
[17] Isaacson, E.; Keller, H.B., Analysis of numerical methods, (1966), John Wiley New York · Zbl 0168.13101
[18] Collar, A.R., On the reciprocal of a segment of a generalized Hilbert matrix, (), Pt. 1 · Zbl 0042.01303
[19] Collar, A.R., On the accuracy of the representation of a lifting line by a finite set of horseshoe vortices, (), 232-250
[20] Whittaker, E.T.; Watson, G.N., Modern analysis, (1952), Cambridge University Press Cambridge, England · Zbl 0108.26903
[21] (), 821-873
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.