Reaction-Diffusion Manifolds and Global Quasi-linearization: Two Complementary Methods for Mechanism Reduction

V. Bykov, U. Maas
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引用次数: 9

Abstract

The paper outlines the current state in the model reduction of systems governing reacting flows by manifold methods. The main idea of such approaches is based on the fact that any reduced model defines a manifold of low dimen- sion imbedded in the system composition/state space. In this respect the decomposition into relatively fast and slow mo- tions due to multiple time scales present in the system is a crucial property of the reacting system. It allows the application of the geometrical framework of slow and fast invariant manifolds to model reduction. Recently developed approaches, namely, the so-called Reaction-Diffusion Manifolds (REDIMs) and Global-Quasi Linearization (GQL) are in the focus of this work. The methods extend and follow the well known ILDM method. The paper discusses both the theoretical basis of the approaches and detailed implementation schemes for studying, reducing and simulating the reacting flows systems. Simple yet containing all features of the reacting flows models of n-heptane/air and syngas/air systems are used to illus- trate and verify the methods.
反应扩散流形与全局拟线性化:两种互补的机制约简方法
本文概述了用多种方法对控制反应流的系统进行模型还原的现状。这种方法的主要思想是基于这样一个事实,即任何简化模型都定义了嵌入在系统组成/状态空间中的低维流形。在这方面,由于系统中存在多个时间尺度而分解成相对较快和较慢的运动是反应系统的一个关键性质。它允许将慢速和快速不变流形的几何框架应用于模型约简。最近发展的方法,即所谓的反应扩散流形(reims)和全局拟线性化(GQL)是这项工作的重点。这些方法扩展并遵循了众所周知的ILDM方法。本文讨论了研究、简化和模拟反应流系统的方法的理论基础和具体的实现方案。用简单但包含所有特征的正庚烷/空气和合成气/空气系统反应流模型来说明和验证方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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