Method of trimming PDE surfaces

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...

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Bibliographic Details
Published in:Computers & graphics Vol. 30; no. 2; pp. 225 - 232
Main Author: Ugail, Hassan
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.04.2006
Subjects:
Boundary representations
Curve and surface representations
Laplace equation
Modeling
Numerical algorithms and problems
PDE surfaces
Trimming
Numerical algorithms and problems
PDE surfaces
Laplace equation
Modeling
Boundary representations
Trimming
Curve and surface representations
ISSN:0097-8493, 1873-7684
Online Access:Get full text
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Summary: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.
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ISSN:0097-8493
1873-7684
DOI:10.1016/j.cag.2006.01.028