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Title: Detecting contour crossings in contour dynamical and contour-advective semi-Lagrangian simulations
Contributor(s): Schaerf, Timothy  (author)orcid ; Macaskill, Charlie (author)
Publication Date: 2004
DOI: 10.0000/anziamj.v45i0.917
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Abstract: Contour dynamics and contour-advective methods are commonly used numerical techniques for simulating inviscid fluid motions. In these methods the vorticity or potential vorticity of a flow is represented by a series of contours which are advected according to the prevailing velocity field. In some circumstances the contours may cross, eroding the accuracy of the numerical solution and violating the equations of motion. This paper describes an automated method for explicitly revealing such crossings, first considering the case of determining if two contours cross and then later the more general case of determining if and where an arbitrary number of contours cross.
Publication Type: Conference Publication
Conference Name: CTAC 2003: 11th Biennial Computational Techniques and Applications Conference, Sydney, Australia, 7th - 9th July, 2003
Conference Details: CTAC 2003: 11th Biennial Computational Techniques and Applications Conference, Sydney, Australia, 7th - 9th July, 2003
Source of Publication: Australian and New Zealand Industrial and Applied Mathematics Journal, 45(Electronic Supplement), p. C693-C712
Publisher: Australian Mathematical Society
Place of Publication: Australia
ISSN: 1446-8735
Field of Research (FOR): 040403 Geophysical Fluid Dynamics
010207 Theoretical and Applied Mechanics
010301 Numerical Analysis
Socio-Economic Outcome Codes: 970101 Expanding Knowledge in the Mathematical Sciences
Peer Reviewed: Yes
HERDC Category Description: E1 Refereed Scholarly Conference Publication
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Series Name: ANZIAM Journal
Series Number : 45
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