A reduced-order model for heat transfer in multiphase flow and practical aspects of the proper orthogonal decomposition

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• 作者：Thomas A. Brenner^a ; ^{thomasbrenner@neo.tamu.edu} ; Raymond L. Fontenot^a ; Paul G.A. Cizmas^a ; Thomas J. O&rsquo ; Brien^b ; Ronald W. Breault^b
• 关键词：Proper orthogonal decomposition ; Reduced-order modeling ; Multiphase flow ; Computational methods in fluid dynamics
• 刊名：Computers and Chemical Engineering
• 出版年：2012
• 期刊代码：35_00981354
• 类别：et
• 出版时间：10 August, 2012
• 卷：43
• 期：Complete
• 页码：68-80
• 文件大小：1274 K

摘要

This paper discusses two practical aspects of reduced-order models (ROMs) based on proper orthogonal decomposition (POD) and presents the derivation and implementation of a ROM for non-isothermal multiphase flow. The POD method calculates basis functions for a reduced-order representation of two-phase flow by calculating the eigenvectors of an autocorrelation matrix composed of snapshots of the flow. The flow is divided into transient and quasi-steady regions and two methods are shown for clustering snapshots in the transient region. Both methods reduce error as compared to the constant sampling case. The ROM for non-isothermal flow was developed using numerical results from a full-order computational fluid dynamics model for a two-dimensional non-isothermal fluidized bed. Excellent agreement is shown between the reduced- and full-order models. The composition of the autocorrelation matrix is also considered for an isothermal case. An approach treating field variables separately is shown to produce less error than a coupled approach.