Visualizing Unstructured Flow Data Using Dual Stream Functions
IEEE Transactions on Visualization and Computer Graphics
Feature Extraction of Separation and Attachment Lines *
IEEE Transactions on Visualization and Computer Graphics
A 3-D streamline tracking algorithm using dual stream functions
VIS '92 Proceedings of the 3rd conference on Visualization '92
Constructing stream surfaces in steady 3D vector fields
VIS '92 Proceedings of the 3rd conference on Visualization '92
VIS '93 Proceedings of the 4th conference on Visualization '93
Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Boundary switch connectors for topological visualization of complex 3D vector fields
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Technical Section: Surface-based flow visualization
Computers and Graphics
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A stream surface in a steady-state three-dimensional fluid flow vector field is a surface across which there is no flow. Stream surfaces can be useful for visualization because the amount of data presented in one visualization can be confined to a manageable quantity in a physically meaningful way. This paper describes a method for generation of stream surfaces, given a threedimensional vector field defined on a curvilinear grid. The method can be characterized as semi-global; that is, it tries to find a surface that satisfies constraints over a region, expressed as integrals (actually sums, due to discreteness), rather than locally propagating the solution of a differential equation. The solution is formulated as a series of quadratic minimization problems in n variables, where n is the cross-wind resolution of the grid. An efficient solution method is developed that exploits the fact that the matrix of each quadratic form is tridiagonal and symmetric. Significant numerical issues are addressed, including degeneracies in the tridiagonal matrix and degeneracies in the grid, both of which are typical for the applications envisioned.