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dc.contributor.author | Appadu, A. Rao![]() |
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dc.date.accessioned | 2018-10-08T06:26:55Z | |
dc.date.issued | 2018-07 | |
dc.description.abstract | In this work, we compare the performance of some finite difference methods in order to solve an advection-diffusion equation which models atmospheric flows. This flow problem was solved by Clancy [3] using Forward-Time Central Space (FTCS) scheme and it is a rather challenging problem to simulate due to large errors in phase and amplitude which are generated especially over long propagation times. We use the following methods namely, FTCS, Lax-Wendroff (LW), Crank-Nicolson (CN) and a non-standard finite difference scheme (NSFD). To improve the results, we derive a new composite scheme consisting of three applications of Lax-Wendroff followed by one application of NSFD. The latter acts likes a filter to remove the dispersive oscillations from Lax-Wendroff. We further improve the composite scheme by computing the optimal temporal step size which minimises the dispersion error. | en_ZA |
dc.description.department | Mathematics and Applied Mathematics | en_ZA |
dc.description.embargo | 2019-07-10 | |
dc.description.librarian | am2018 | en_ZA |
dc.description.uri | http://scitation.aip.org/content/aip/proceeding/aipcp | en_ZA |
dc.identifier.citation | Appadu, A.R. 2018, 'Atmospheric flow modelling using some finite difference methods', AIP Conference Proceedings, vol. 1978, no. 30023, pp. 1-4. | en_ZA |
dc.identifier.issn | 0094-243X (print) | |
dc.identifier.issn | 1551-7616 (online) | |
dc.identifier.other | 10.1063/1.5043673 | |
dc.identifier.uri | http://hdl.handle.net/2263/66777 | |
dc.language.iso | en | en_ZA |
dc.publisher | American Institute of Physics | en_ZA |
dc.rights | © 2018 AIP Publishing LLC. Article copyright remains as specified within the article. | en_ZA |
dc.subject | Finite difference methods | en_ZA |
dc.subject | Flow problem | en_ZA |
dc.subject | Forward-time central space (FTCS) | en_ZA |
dc.subject | Non-standard finite difference scheme (NSFD) | en_ZA |
dc.subject | Crank-Nicolson (CN) | en_ZA |
dc.subject | Lax-Wendroff (LW) | en_ZA |
dc.title | Atmospheric flow modelling using some finite difference methods | en_ZA |
dc.type | Article | en_ZA |