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Visualization of 2-D and 3-D Tensor FieldsIn previous work we have developed a novel approach to visualizing second order symmetric 2-D tensor fields based on degenerate point analysis. At degenerate points the eigenvalues are either zero or equal to each other, and the hyper-streamlines about these points give rise to tri-sector or wedge points. These singularities and their connecting hyper-streamlines determine the topology of the tensor field. In this study we are developing new methods for analyzing and displaying 3-D tensor fields. This problem is considerably more difficult than the 2-D one, as the richness of the data set is much larger. Here we report on our progress and a novel method to find , analyze and display 3-D degenerate points. First we discuss the theory, then an application involving a 3-D tensor field, the Boussinesq problem with two forces.
Document ID
19980201386
Acquisition Source
Ames Research Center
Document Type
Contractor Report (CR)
Authors
Hesselink, Lambertus (Stanford Univ. Stanford, CA United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1997
Subject Category
Theoretical Mathematics
Report/Patent Number
NAS 1.26:205318
NASA-CR-205318
Funding Number(s)
CONTRACT_GRANT: NAG2-911
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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