Fast solution of direct and inverse design problems concerning furnace operation conditions in steel industry
Fast solution of direct and inverse design problems concerning furnace operation conditions in steel industry
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DOI：
10.1016/j.applthermaleng.2012.03.012
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发表时间：
2012-12-05
影响因子：
6.4
通讯作者：
Varas, F.
中科院分区：
文献类型：
--
作者：
Martin, E.;Meis, M.;Varas, F.
本文开发了一种能够准确预测钢材在工业炉内加热的快速数值模拟工具。该预测工具分两步建立：首先建立完整的炉膛有限元模型，然后根据前一步结果提取的信息建立代理模型(或者也可以使用实验测试结果)，更准确地说，第二步建立的代理模型是基于数值模拟数据库的计算(使用有限元模型)，并使用高阶奇异值分解和内插技术。替代模型提供的加热预测误差与有限元模型中的相应误差相当，但计算时间却大大减少：在本文给出的验证案例中(对应于热处理炉)，在台式计算机上进行加热预测的计算时间从完整有限元模型的约2小时下降到替代模型的几毫秒。并将所开发的快速预测工具应用于解决一些设计问题。其中，解决了关于能够最小化涉及工件热处理质量和燃料消耗的功能的操作条件的设计的问题。(C)2012爱思唯尔有限公司。保留所有权利。
In this paper a fast numerical simulation tool able to accurately predict steel products heating in an industrial furnace is developed. This prediction tool is set up in two steps: firstly, a complete finite element model of the furnace is built up, and then a surrogate model based on the information extracted from the results of the previous one (alternatively, results of experimental tests could also be used) is developed.More precisely, the surrogate model developed in the second step is based on the computation of a numerical simulation database (using the finite element model) and the use of a High Order Singular Value Decomposition and interpolation techniques. Errors in the heating prediction provided by the surrogate model are comparable to the corresponding errors in the finite element model.Computation time instead is dramatically reduced: in the validation case presented in this paper (corresponding to a heat treatment furnace), computation time of the heating prediction in a desktop computer drops from around 2 h for the complete finite model to a few milliseconds for the surrogate model. The developed fast prediction tool is then applied to solve some design problems. Among them, a problem concerning the design of operation conditions able to minimize a functional involving the quality of the workpiece heat treatment and the fuel consumption is solved. (C) 2012 Elsevier Ltd. All rights reserved.