Distributions of sources and normal dipoles over a quadrilateral panel
- J. N. Newman
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The potential due to a distribution of sources or normal dipoles on a flat quadrilateral panel is evaluated for the cases where the density of the singularities is constant, linear, bilinear, or of arbitrary polynomial form. The results in the first two cases are consistent with those derived previously, but the present derivation is considered to be simplified. In particular, the constant dipole distribution is derived from a geometric argument which avoids direct integration; this derivation applies more generally on a curvilinear panel bounded by straight edges.
Also presented are multipole expansions for the same potentials, suitable for use when the distance to the field point is substantially larger than the panel dimensions. Algorithms are derived to evaluate the coefficients in these expansions to an arbitrary order.
- HessJ.L. and SmithA.M.O.,Calculation of non-lifting potential flow about arbitrary three-dimensional bodies, Report No. E.S. 40622, Douglas Aircraft Company, Inc., Long Beach, CA (1962).
- HessJ.L. and SmithA.M.O., Calculation of non-lifting potential flow about arbitrary three-dimensional bodies,J. Ship Res. 8, 2 (1964) 22–44.
- HessJ.L. and SmithA.M.O., Calculation of potential flow about arbitrary bodies,Progress in Aero. Sci. 8 (1966) 1–138.
- YeungR.W.,A singularity-distribution method for free-surface flow problems with an oscillating body, Report No. NA 73–6, College of Eng'g., Univ. of Cal., Berkeley (1973). (See also Bai, K.J., and Yeung, R.W., Numerical solutions to free-surface flow problems,Proc. 10th Symp. Naval Hydro. (1974) 631–633).
- WebsterW.C., The flow about arbitrary three-dimensional smooth bodies,J. Ship Res. 19, 4 (1975) 206–218.
- Distributions of sources and normal dipoles over a quadrilateral panel
Journal of Engineering Mathematics
Volume 20, Issue 2 , pp 113-126
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- Kluwer Academic Publishers
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- J. N. Newman (1)
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- 1. Department of Ocean Engineering, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA