Tools for Computing Tangent Curves for Linearly Varying Vector Fields over Tetrahedral Domains

Authors:
Gregory M. Nielson;Il-Hong Jung
Affiliations:
-;-
Venue:
IEEE Transactions on Visualization and Computer Graphics
Year:
1999

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Abstract

We present some very efficient and accurate methods for computing tangent curves for three-dimensional flows. Our methods work directly in physical coordinates, eliminating the usual need to switch back and forth with computational coordinates. Unlike conventional methods, such as Runge-Kutta, for computing tangent curves which give only approximations, our methods produce exact values based upon piece-wise linear variation over a tetrahedrization of the domain of interest. We use barycentric coordinates in order to efficiently track cell-to-cell movement of the tangent curves.