منابع مشابه
Adaptive Model Reduction for Chemical Kinetics
An adaptive model reduction algorithm is proposed for systems of ODEs from chemical kinetics. Its goal is to provide an accurate approximation to the solution of these systems faster than could be obtained through straightforward numerical integration. The algorithm approximates a system with a sequence of reduced models, each one appropriate to the dynamics of the system during a period of the...
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The numerical solution of mathematical models for reaction systems in general, and reacting flows in particular, is a challenging task because of the simultaneous contribution of a wide range of time scales to the system dynamics. However, the dynamics can develop very slow and very fast time scales separated by a range of active time scales. We propose a numerical technique consisting of an al...
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A model of a tungsten chemical vapor deposition (CVD) system is developed to study the CVD system thermal dynamics and wafer temperature nonuniformities during a processing cycle. We develop a model for heat transfer in the system’s wafer/susceptor/guard ring assembly and discretize the modeling equation with a multiple-grid, nonlinear collocation technique. This weighted residual method is bas...
متن کاملComparison of Invariant Manifolds for Model Reduction in Chemical Kinetics
A modern approach to model reduction in chemical kinetics is often based on the notion of slow invariant manifold. The goal of this paper is to give a comparison of various methods of construction of slow invariant manifolds using a simple Michaelis-Menten catalytic reaction. We explore a recently introduced Method of Invariant Grids (MIG) for iteratively solving the invariance equation. Variou...
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Abstract The application of model reduction techniques in the context of dynamic optimization of chemical plants operation is investigated. The focus is on the derivation and use of reduced models for the design and implementation of optimal dynamic operation in large-scale chemical plants. The recommended procedure is to apply the model reduction to individual units or groups of units, followe...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2005
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/16/1/012