Abstract
We first review work in which a bivariate parametric polynomial is derived that maps one curve onto another and deforms regions about the curves conformally. The curves are defined in Bézier form. In this paper the approximation is extended to B-Spline curves that generate near-conformal maps. It is then applied to approximating and animating ideal fluid flows. The B-spline curve underpins the design approach. With it an interface is developed to design fluid flow applications which also incorporates potential field theory. We give parameter maps that set up the flow from the confomally designed regions. Examples of animated fluid flow include designed channel flows with obstacles.
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© 1998 Springer-Verlag Wien
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Kadi, Z., Rockwood, A. (1998). The Design of Physically Accurate Fluid Flow. 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_13
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DOI: https://doi.org/10.1007/978-3-7091-6444-0_13
Publisher Name: Springer, Vienna
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