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Difference methods for solving convection-diffusion equations

✍ Scribed by G. Birkhoff; E.C. Gartland Jr; R.E. Lynch

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
896 KB
Volume
19
Category
Article
ISSN
0898-1221

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✦ Synopsis

Difference methods for solving the convection-diffusion equation are discussed. The superiority of Allen's approximation over central or upwind differences for one-dimensional problems is confirmed, the superiority being greatest when the boundary layer is very thin. Higher order methods give improved accuracy with negligible increase in cost. A new iterative scheme is proposed for the two-dimensional problem, which requires orders of magnitude fewer arithmetic operations than existing procedures currently available in the literature.

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