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    Method of trimming PDE surfaces

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    UgailCGMethodTrimming2006.pdf (372.8Kb)
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    Publication date
    2006
    Author
    Ugail, Hassan
    Keyword
    PDE surfaces
    Partial differential equations
    Trimming
    Laplace equation
    Modeling
    Boundary representations
    Curve and surface representations
    Numerical algorithms and problems
    Rights
    © 2006 Elsevier. Reproduced in accordance with the publisher's self-archiving policy.
    Peer-Reviewed
    Yes
    
    Metadata
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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. Vol. 30, No. 2, pp. 225-232.
    Link to publisher’s version
    http://www.elsevier.com/wps/find/journaldescription.cws_home/371/description#description
    Type
    Article
    Collections
    Engineering and Digital Technology Publications

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