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A hybrid Newton/time-integration procedure for the solution of steady, laminar, one-dimensional, premixed flames by Joseph F. Grcar; Robert J. Kee; Mitchell D. Smooke; James A. Miller is a Engineering article available to read on EtoBox.

What is A hybrid Newton/time-integration procedure for the solution of steady, laminar, one-dimensional, premixed flames about?

Newton's method is a quadradically convergent algorithm for solving premixed flame problems, but it only works when the trial solutions are within Newton's domain of convergence. Implicit time integration methods are highly robust, but suffer from a relatively slow approach to the steady-state solution. In the approach described here, the most attractive features of both methods are combined into a hybrid approach that is superior to either one alone. Time integration is used as a way to condition a trial solution that is not in the Newton domain of convergence to one that is. Once the Newton iteration begins to converge, it rapidly converges to a steady solution. A coarse-to-fine adaptive mesh selection procedure further enhances the convergence of Newton's method as well as providing the optimal mesh placement needed for accuracy. An efficient implementation of sensitivity analysis is seen to follow easily from this approach.

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Author

Joseph F. Grcar; Robert J. Kee; Mitchell D. Smooke; James A. Miller

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd; Elsevier BV (ISSN 1540-7489)

Published

1988

Language

EN

Field

Engineering (Physical Sciences)