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Application of the polynomial chaos expansion to the simulation of chemical reactors with uncertainties. (English) Zbl 1242.65015
Summary: We consider the simulation of probabilistic chemical reactions in isothermal and adiabatic conditions. Models for reactions under isothermal conditions result in advection equations, adiabatic conditions yield the reactive Euler equations. In order to treat with scattering data, the equations are projected onto the polynomial chaos space. Scattering data can largely affect the estimation of quantities in the system, including variable optimization. This is demonstrated on a selective non-catalytic reduction of nitric oxide.
MSC:
65C30Stochastic differential and integral equations
60H15Stochastic partial differential equations
35R60PDEs with randomness, stochastic PDE
60H35Computational methods for stochastic equations
80A32Chemically reacting flows (thermodynamic aspects)
65P20Numerical chaos
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