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Numerical solution of reaction–diffusion equations by compact operators and modified equation methods

✍ Scribed by J. I. Ramos; T. I-P. Shih

Publisher
John Wiley and Sons
Year
1987
Tongue
English
Weight
729 KB
Volume
7
Category
Article
ISSN
0271-2091

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✦ Synopsis

A system of reaction-diffusion equations which governs the propagation of an ozone decomposition laminar flame in Lagrangian co-ordinates is analysed by means of compact operators and modified equation methods. It is shown that the use of fourth-order accurate compact operators yields very accurate solutions if sufficient numbers of grid points are located at the flame front, where very steep gradients of temperature and species concentrations exist. Modified equation methods are shown to impose a restriction on the time step under certain conditions. The solutions obtained by means of compact operators and modified equation methods are compared with solutions obtained by other methods; good agreement is obtained.

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