Discrete q-Hermite polynomials: Difference between revisions

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In [[scientific visualization]], a '''vortex core line''' is a line-like feature tracing the center of a [[vortex]] within a [[velocity field]].
 
== Detection methods ==
Several methods exist to detect vortex core lines in a flow field. {{harvtxt|Jiang|Machiraju|Thompson|2004}} studied and compared nine methods for vortex detection, including five methods for the identification of vortex core lines. Although this list is incomplete, they considered it representative for the state of the art (as of 2004).
 
One of these five methods is by {{harvtxt|Sujudi|Haimes|1995}}: in a velocity field '''''v'''''('''''x''''',''t'') a [[Vector space|vector]] '''''x''''' lies on a vortex core line if '''''v'''''('''''x''''',''t'') is an [[Eigenvalues and eigenvectors|eigenvector]] of the [[tensor derivative]] <math>\nabla \boldsymbol{v}(\boldsymbol{x},t)</math> and the other – not corresponding – eigenvalues are [[complex number|complex]].
 
==See also==
{{Portal|Computer science}}
* [[Flow visualization]]
<br>
 
== References ==
{{reflist}}
*{{Citation
| publisher = Academic Press
| isbn = 9780123875822
| editor1-last = Hansen
| editor1-first = Charles D.
| editor2-first = Chris R.  
| editor2-last = Johnson
| title = Visualization Handbook
| year = 2004
| contribution = Detection and visualization of vortices
| last1 = Jiang
| first1 = Ming
| last2 = Machiraju
| first2 = Raghu
| last3 = Thompson
| first3 = David
| pages = 295–309
}}
*{{Citation
| contribution=Identification of swirling flow in 3-D vector fields
| last1=Sujudi |first1=David
| last2=Haimes |first2=Robert
| title=12th AIAA Computational Fluid Dynamics Conference, and Open Forum. San Diego, 19–22 June, 1995
| year=1995
| pages=792–799
| url=http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.43.7739&rep=rep1&type=pdf
}}
 
[[Category:Visualization (graphic)]]
[[Category:Vortices]]
{{Computer-science-stub}}
{{computer-graphics-stub}}

Latest revision as of 04:48, 21 January 2013

In scientific visualization, a vortex core line is a line-like feature tracing the center of a vortex within a velocity field.

Detection methods

Several methods exist to detect vortex core lines in a flow field. Template:Harvtxt studied and compared nine methods for vortex detection, including five methods for the identification of vortex core lines. Although this list is incomplete, they considered it representative for the state of the art (as of 2004).

One of these five methods is by Template:Harvtxt: in a velocity field v(x,t) a vector x lies on a vortex core line if v(x,t) is an eigenvector of the tensor derivative v(x,t) and the other – not corresponding – eigenvalues are complex.

See also

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References

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

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Template:Computer-science-stub Template:Computer-graphics-stub