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Method of trimming PDE surfaces

Ugail, Hassan
Publication Date
2006
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Keywords
PDE surfaces, Partial differential equations, Trimming, Laplace equation, Modeling, Boundary representations, Curve and surface representations, Numerical algorithms and problems
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© 2006 Elsevier. Reproduced in accordance with the publisher's self-archiving policy.
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Yes
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Accepted for publication
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Engineering and Digital Technology Publications
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Abstract
A method for trimming surfaces generated as solutions to Partial Differential Equations (PDEs) is presented. The work we present here utilises the 2D parameter space on which the trim curves are defined whose projection on the parametrically represented PDE surface is then trimmed out. To do this we define the trim curves to be a set of boundary conditions which enable us to solve a low order elliptic PDE on the parameter space. The chosen elliptic PDE is solved analytically, even in the case of a very general complex trim, allowing the design process to be carried out interactively in real time. To demonstrate the capability for this technique we discuss a series of examples where trimmed PDE surfaces may be applicable.
URI
http://hdl.handle.net/10454/2648
Version
Accepted manuscript
Citation
Ugail H (2006) Method of trimming PDE surfaces. Computers & Graphics. 30(2): 225-232.
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Link to Version of Record
https://doi.org/10.1016/j.cag.2006.01.028
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Article
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