Please use this identifier to cite or link to this item:
https://doi.org/10.1002/fld.483
DC Field | Value | |
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dc.title | The third-order polynomial method for two-dimensional convection and diffusion | |
dc.contributor.author | Tkalich, P. | |
dc.contributor.author | Chan, E.S. | |
dc.date.accessioned | 2014-06-17T08:26:33Z | |
dc.date.available | 2014-06-17T08:26:33Z | |
dc.date.issued | 2003-03-30 | |
dc.identifier.citation | Tkalich, P., Chan, E.S. (2003-03-30). The third-order polynomial method for two-dimensional convection and diffusion. International Journal for Numerical Methods in Fluids 41 (9) : 997-1019. ScholarBank@NUS Repository. https://doi.org/10.1002/fld.483 | |
dc.identifier.issn | 02712091 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/66301 | |
dc.description.abstract | Using the upstream polynomial approximation a series of accurate two-dimensional explicit numerical schemes is developed for the solution of the convection-diffusion equation. A third-order polynomial approximation (TOP) of the convection term and a consistent second-order approximation of the diffusion term are combined in a single-step flux-difference algorithm. Stability analysis confirms that the TOP-12 scheme satisfies the CFL condition for two dimensions. Using smaller and narrower flux stencils compared to algorithms of similar accuracy, the TOP-12 scheme is more efficient in terms of computations per single node. Numerical tests and comparison with other well-known algorithms show a high performance of the developed schemes. © 2003 John Wiley & Sons, Ltd. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1002/fld.483 | |
dc.source | Scopus | |
dc.subject | Conservative | |
dc.subject | Convection | |
dc.subject | Diffusion | |
dc.subject | Polynomial interpolation | |
dc.subject | Pseudo-flux | |
dc.subject | Third order | |
dc.type | Article | |
dc.contributor.department | CIVIL ENGINEERING | |
dc.contributor.department | TROPICAL MARINE SCIENCE INSTITUTE | |
dc.description.doi | 10.1002/fld.483 | |
dc.description.sourcetitle | International Journal for Numerical Methods in Fluids | |
dc.description.volume | 41 | |
dc.description.issue | 9 | |
dc.description.page | 997-1019 | |
dc.description.coden | IJNFD | |
dc.identifier.isiut | 000181675800005 | |
Appears in Collections: | Staff Publications |
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