Please use this identifier to cite or link to this item: https://doi.org/10.1002/fld.483
Title: The third-order polynomial method for two-dimensional convection and diffusion
Authors: Tkalich, P. 
Chan, E.S. 
Keywords: Conservative
Convection
Diffusion
Polynomial interpolation
Pseudo-flux
Third order
Issue Date: 30-Mar-2003
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
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
URI: http://scholarbank.nus.edu.sg/handle/10635/66301
ISSN: 02712091
DOI: 10.1002/fld.483
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