Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/18278
Title: | On contour crossings in contour-advective simulations - part 1 - algorithm for detection and quantification | Contributor(s): | Schaerf, Timothy (author) ; Macaskill, C (author) | Publication Date: | 2012 | DOI: | 10.1016/j.jcp.2011.09.015 | Handle Link: | https://hdl.handle.net/1959.11/18278 | Abstract: | This is the first of two papers devoted to the analysis of contour crossing errors that occur in contour-advective simulations of fluid motion. Here an algorithm is presented for quantifying the error due to contour crossings. The first step is to determine the relative proximity of all possible pairs of contours. A digital representation of each contour is produced to aid in the corresponding calculation. Simple analysis of functions is then used to find any crossings between contours deemed close to each other by the digital representation method. Next, the area in error of a pair of crossing contours is calculated by identifying the polygon or polygons that approximately bound the erroneous region. Finally, some preliminary results of analysis of contour crossings that occur in contour-advective semilagrangian (CASL) simulations of single layer quasigeostrophic turbulence are presented. It is shown that the error due to contour crossings is small in the simulations considered here. | Publication Type: | Journal Article | Source of Publication: | Journal of Computational Physics, 231(2), p. 465-480 | Publisher: | Academic Press | Place of Publication: | United States of America | ISSN: | 1090-2716 0021-9991 |
Fields of Research (FoR) 2008: | 040403 Geophysical Fluid Dynamics 010301 Numerical Analysis 010207 Theoretical and Applied Mechanics |
Fields of Research (FoR) 2020: | 401208 Geophysical and environmental fluid flows 490302 Numerical analysis 490109 Theoretical and applied mechanics |
Socio-Economic Objective (SEO) 2008: | 970101 Expanding Knowledge in the Mathematical Sciences 970104 Expanding Knowledge in the Earth Sciences |
Socio-Economic Objective (SEO) 2020: | 280107 Expanding knowledge in the earth sciences 280118 Expanding knowledge in the mathematical sciences |
Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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Appears in Collections: | Journal Article |
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