Atmospheric flow modelling using some finite difference methods

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dc.contributor.author Appadu, A. Rao
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


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