A classical spectral approach based on the set of eigenfunctions of the Laplacian operator is proposed for the numerical solution of advection/diffusion/reaction equations for reactive mixing in 2-D laminar chaotic flows. This approach overcomes numerical diffusion problems and provides accurate spatiotemporal concentration fields in reasonable computer time up to very high values of Pe, such as Pe = 10(5) and higher. Moreover, a pseudo-spectral approach. combining spectral expansion with an FFT algorithm, provides an efficient computational strategy for both polynomial and non-polynomial nonlinearities such as those arising in non-isothermal reactive mixing problems with Arrhenius dependence of kinetic rates on temperature. (C) 2002 Elsevier Science Ltd. All rights reserved.

A spectral approach to reaction/diffusion kinetics in chaotic flows / Adrover, Alessandra; Cerbelli, Stefano; Giona, Massimiliano. - In: COMPUTERS & CHEMICAL ENGINEERING. - ISSN 0098-1354. - 26:1(2002), pp. 125-139. [10.1016/s0098-1354(01)00761-x]

A spectral approach to reaction/diffusion kinetics in chaotic flows

ADROVER, Alessandra;CERBELLI, Stefano;GIONA, Massimiliano
2002

Abstract

A classical spectral approach based on the set of eigenfunctions of the Laplacian operator is proposed for the numerical solution of advection/diffusion/reaction equations for reactive mixing in 2-D laminar chaotic flows. This approach overcomes numerical diffusion problems and provides accurate spatiotemporal concentration fields in reasonable computer time up to very high values of Pe, such as Pe = 10(5) and higher. Moreover, a pseudo-spectral approach. combining spectral expansion with an FFT algorithm, provides an efficient computational strategy for both polynomial and non-polynomial nonlinearities such as those arising in non-isothermal reactive mixing problems with Arrhenius dependence of kinetic rates on temperature. (C) 2002 Elsevier Science Ltd. All rights reserved.
spectral approach; laminar chaotic flows; advection/diffusion/reaction
01 Pubblicazione su rivista::01a Articolo in rivista
A spectral approach to reaction/diffusion kinetics in chaotic flows / Adrover, Alessandra; Cerbelli, Stefano; Giona, Massimiliano. - In: COMPUTERS & CHEMICAL ENGINEERING. - ISSN 0098-1354. - 26:1(2002), pp. 125-139. [10.1016/s0098-1354(01)00761-x]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/250645
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