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Explicit Simulation Methods for Combustion Chemistry. Edition No. 1

VDM Publishing House, Aug 2008, Pages: 128


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In this work, several novel algorithms for the
numerical simulation of homogeneous gas-phase
combustion chemistry are introduced and
investigated. In the first instance, stochastic
methods for the numerical solution of systems of
ordinary differential equations (ODEs) are developed
based on the theory of Markov pure-jump processes.
By establishing a correspondence principle between
stochastic and deterministic schemes, further
algorithms of both types are obtained. In
particular, a scheme for the deterministic direct
simulation of chemical reactions is devised. All
methods under consideration have in common that they
are explicit, and hence conceptually very simple and
easy to implement. For three of the proposed
algorithms, detailed numerical studies of some of
their properties such as efficiency and convergence
are performed for the high-temperature isobaric
homogeneous gas-phase combustion of various
hydrocarbon fuels. In addition, the new algorithms
are compared in terms of performance to each other
and to some widespread conventional ODE-solver
packages for stiff systems.



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