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- W2020487974 abstract "Abstract An efficient method for the formation of the numerical Jacobian in combustion codes has been applied to premixed laminar and counterflow diffusion flames. The improvements are portable to similar codes for treating ignition, two-dimensional flames and the general class of reactive-diffusive processes. Execution times were reduced by a factor of seven with no decrease in accuracy, for a mechanism containing 46 species and 213 reactions, when compared with the starting form of the premixed flame code developed at Sandia Laboratories (Smooke, 1982). The most important new feature is the efficient formation of the numerical Jacobian, reducing the CPU-time spent on computing chemical kinetics, thermodynamic and transport properties among the N unknowns (temperature, species mass fractions, and mass flow) in the system. Normally, the Jacobian is i formed in 3N + I full vector function evaluations requiring 90-95% of the computing time (Smooke, 1982). Every variable is perturbed simultaneously at every ..." @default.
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- W2020487974 date "1991-06-01" @default.
- W2020487974 modified "2023-09-26" @default.
- W2020487974 title "Efficient Formation of Numerical Jacobian Used in Flame Codes" @default.
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