Abstract
The PDE Method generates a surface patch using a boundary-value approach. We describe how complicated surface shapes may be constructed by joining together a collection of PDE patches, either by joining adjacent patches at mutual boundaries or else by cutting a ‘hole’ in an existing surface, removing the patch of the surface which lies inside the hole, and using boundary conditions imposed at the edges of the hole to generate a second surface which meets the first at the hole boundaries. The particular object we use to illustrate the technique is an aircraft engine nacelle and pylon.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bloor, M. I. G., Wilson, M. J.: Generating N-sided patches with partial differential equations. In: Computer Graphics International 89 (Earnshaw, R. A., Wyvill, B., eds.), pp. 129–145. Berlin Heicdlberg New York: Springer, 1989.
Lowe, T. W., Bloor, M. I. G., Wilson, M. J.: The automatic design of hull surface geometries. J. Ship Res 38, 319–328 (1994).
Bloor, M. I. G., Wilson, M. J.: Local control of surfaces generated as the solutions to partial differential equations. Comput. Graphics 18, 161–169 (1994).
Bloor, M. I. G., Wilson, M. J.: Complex PDE surface generation for analysis and manufacture. Computing [Suppl] 10, 61–77 (1995).
Bloor, M. I. G., Wilson, M. J.: Spectral approximations to PDE surfaces. CAD 28, 145–152 (1996).
Dekanksi, C. W., Bloor, M. I. G., Wilson, M. J.: A parametric model of a 2-stroke engine for design and analysis. Comput. Methods Appl. Mech. Eng. 137, 411–425 (1996).
Dekanski, C. W., Bloor, M. I. G., Wilson, M. J.: Partial differential equation surface generation and functional shape optimisation of a swirlport. AIAA J. Prop. Pow. 13 (1997).
Zauderer, E.: Partial differential equations of applied mathematics. New York: Wiley-Interscience, 1983.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Wien
About this paper
Cite this paper
Bloor, M.I.G., Wilson, M.J. (1998). The Shape Parametrisation of an Aircraft Engine Nacelle and Pylon. In: Farin, G., Bieri, H., Brunnett, G., De Rose, T. (eds) Geometric Modelling. Computing Supplement, vol 13. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6444-0_4
Download citation
DOI: https://doi.org/10.1007/978-3-7091-6444-0_4
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83207-3
Online ISBN: 978-3-7091-6444-0
eBook Packages: Springer Book Archive