Adjoint Approach to Sensitivity Analysis of Convection Heat Transfer and Its Application to Heat Transfer Optimal Design

对流传热敏感性分析的伴随方法及其在传热优化设计中的应用

• 批准号: 12650204
• 负责人: MOMOSE Kazunari
• 金额: $ 2.18万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2000
• 资助国家: 日本
• 起止时间: 2000 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12650204/
• 关键词: Convection Heat Transfer; Boundary Condition; Sensitivity Analysis; Optimal Design; Optimal Control; Adjoint Problem; Numerical Analysis

With recent progress in computer hardware and numerical simulation techniques, numerical prediction of heat transfer characteristics has been possible when the boundary conditions are specified. However, from the viewpoint of design or control, the prediction of boundary conditions to achieve the desired heat transfer characteristics is more significant than that of heat transfer characteristics under specific boundary conditions. In other words, the problem becomes inverse one.In this study, we proposed an adjoint approach to inverse analysis of boundary condition effects on convection heat transfer problems. The main features of the present approach can be summarized as follows:1. For linear forced convection problem, a numerical solution of the adjoint problem directly gives us the optimal thermal boundary conditions both in time and space to control the heat transfer at any given time.2. For general nonlinear convection problems, we can derive an adjoint system using perturbation principle. The adjoint solution gives us the sensitivity which enables us to optimize both thermal and flow boundary conditions when combined with gradient-based optimization strategies.

随着计算机硬件和数值模拟技术的发展，在给定边界条件的情况下，传热特性的数值预测已经成为可能。然而，从设计或控制的观点来看，预测边界条件以实现期望的传热特性比预测特定边界条件下的传热特性更有意义。在本研究中，我们提出了一个伴随方法来反分析边界条件对对流换热问题的影响。本方法的主要特点可以概括如下：1.对于线性强迫对流问题，伴随问题的数值解直接给出了时间和空间上的最优热边界条件，以控制任意时刻的热传递.对于一般的非线性对流问题，我们可以利用摄动原理导出一个伴随系统。伴随的解决方案给我们的灵敏度，使我们能够优化热和流动的边界条件时，结合基于梯度的优化策略。

项目成果

Kazunari Momose: "Unsteady Thermal Boundary Condition Effects on Forced Convection Heat Transfer"Transactions of JSME, series B. 67-657. 1205-1211 (2001)

Kazunari Momose：“非稳态热边界条件对强制对流传热的影响”JSME 汇刊，系列 B.67-657。

桃瀬一成: "強制対流熱伝達問題における非定常熱的境界条件の影響"日本機械学会論文集(B編). (印刷中). (2001)

Kazunari Momose：“非稳态热边界条件对强制对流传热问题的影响”，日本机械工程师学会会议记录（B 版）（2001 年出版）。

桃瀬 一成: "強制対流熱伝達問題における非定常熱的境界条件の影響"日本機械学会論文集(B編). 67-657. 1205-1211 (2001)

Kazunari Momose：“非稳定热边界条件对强制对流传热问题的影响”，日本机械工程师学会会刊（B 版）67-657（2001 年）。

Kazunari Momose: "Adjoint Approach to Inverse Analysis of Convection Heat Transfer"Proceedings of the 4^<th> International Conference on Inverse Problems in Engineering, CD-ROM. (2002)

Kazunari Momose：“对流传热逆分析的伴随方法”第四届国际工程反问题会议论文集，CD-ROM。

Kazunari Momose: "Reverse Computation of Forced Convection Heat Transfer Using Adjoint Formulation"Proceedings of the 2^<nd> ICHMT Symposium on Advances in Computational Heat Transfer. (発表予定). (2001)

Kazunari Momose：“使用伴随公式进行强制对流传热的逆计算”第二届 ICHMT 计算传热进展研讨会论文集（即将发表）。