Application of the Polynomial Chaos Expansion to the simulation of chemical reactors with uncertainties

被引：37

作者：

Villegas, M. ^{[1
]}

Augustin, F. ^{[1
]}

Gilg, A. ^{[2
]}

Hmaidi, A. ^{[1
]}

Wever, U. ^{[2
]}

机构：

[1] Tech Univ Munich, D-85748 Garching, Germany

[2] Siemens AG, Corp Technol, D-81730 Munich, Germany

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2012年 / 82卷 / 05期

关键词：

Polynomial chaos; Stochastic differential equations; Chemical kinetics; Nitric oxide reduction;

D O I：

10.1016/j.matcom.2011.12.001

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper 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. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：805 / 817

页数：13

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