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Spectral resolutioned exponential compact higher order scheme (SRECHOS) for convection–diffusion equations

✍ Scribed by Y.V.S.S. Sanyasiraju; Nachiketa Mishra

Book ID
104013674
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
390 KB
Volume
197
Category
Article
ISSN
0045-7825

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✦ Synopsis

A spectral resolutioned exponential compact higher order scheme (SRECHOS) is developed to solve stationary convection-diffusion type of differential equations with constant convection and diffusion coefficients. The scheme is Oðh 6 Þ for one-dimensional problems and produces a tri-diagonal system of equations that can be solved efficiently using Thomas algorithm. For two-dimensional problems, the scheme produces an Oðh 4 þ k 4 Þ accuracy over a compact nine point stencil which can be solved using any line iterative approach with alternate direction implicit (ADI) procedure. The efficiency of the developed scheme is measured using wave number analysis. The analysis shows that the SRECHOS has a much better spectral resolution than any of the existing higher order schemes. Numerical examples are solved and better performance of the SRECHOS in terms of accuracy over the existing schemes in the literature is demonstrated.

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