Tools for computing tangent curves for linearly varying vector fields over tetrahedral domains

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 c...

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Bibliographic Details
Published in:IEEE transactions on visualization and computer graphics 1999-10, Vol.5 (4), p.360-372
Main Authors: Nielson, G.M., Il-Hong Jung
Format: Article
Language:English
Subjects:
Application software
Approximation
Computation
Computer graphics
Mathematical analysis
Mathematical models
Mathematics
Physics computing
Piecewise linear techniques
Runge-Kutta method
Senior members
Switches
Tangents
Tracking
Vectors
Vectors (mathematics)
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Summary: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 piecewise linear variation over a tetrahedrization of the domain of interest. We use balycentric coordinates in order to efficiently track cell-to-cell movement of the tangent curves.
ISSN:1077-2626
1941-0506
DOI:10.1109/2945.817352