Premium
Numerical solution of reaction–diffusion equations by compact operators and modified equation methods
Author(s) -
Ramos J. I.,
Shih T. IP.
Publication year - 1987
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650070404
Subject(s) - laminar flow , mathematics , chemical equation , flame front , reaction–diffusion system , diffusion , mathematical analysis , diffusion equation , physics , thermodynamics , chemistry , turbulence , economy , economics , service (business)
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.