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|Title:||The third-order polynomial method for two-dimensional convection and diffusion|
|Authors:||Tkalich, P. |
|Source:||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|
|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.|
|Source Title:||International Journal for Numerical Methods in Fluids|
|Appears in Collections:||Staff Publications|
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