Intrinsic verification methods in linear heat conduction

James V. Beck; Robert McMasters; Kevin J. Dowding; Donald E. Amos

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Intrinsic verification methods in linear heat conduction

机译：线性热传导的内在验证方法

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摘要

Verification of the codes that provide numerical heat transfer solutions obtained by finite difference and other methods is important. One way to verify these solutions is to compare the values with exact solutions. However, these exact solutions should also be verified. Fortunately, intrinsic verification methods are possible. Intrinsic verification utilizes at least two independent exact solutions to obtain accurate numerical values. Three different types of intrinsic verification for transient and steady state heat conduction are developed and illustrated by examples.

机译：验证提供通过有限差分和其他方法获得的数值传热解决方案的代码很重要。验证这些解决方案的一种方法是将值与精确解决方案进行比较。但是，也应验证这些确切的解决方案。幸运的是，内部验证方法是可能的。内部验证至少利用两个独立的精确解来获得准确的数值。开发了三种不同类型的瞬态和稳态热传导固有验证方法，并通过示例进行了说明。

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来源
《International Journal of Heat and Mass Transfer》 |2006年第18期|p.2984-2994|共11页
作者
James V. Beck; Robert McMasters; Kevin J. Dowding; Donald E. Amos;
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作者单位

Department of Mechanical Engineering (Prof. Em.), Michigan State University, E. Lansing, MI 48824, United States;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类热力工程理论;热学;
关键词
intrinsic verification; time partitioning; analytical heat conduction; exact;

机译：内在验证;时间划分;分析热传导;精确;

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1. INTRINSIC VERIFICATION OF AN EXACT ANALYTICAL SOLUTION IN TRANSIENT HEAT CONDUCTION [J] . Giampaolo DAlessandro, Filippo de Monte Computational thermal sciences . 2018,第3期

机译：瞬态导热中精确分析解决方案的内在验证
2. Inverse heat conduction problem: Sensitivity coefficient insights, filter coefficients, and intrinsic verification [J] . James V. Beck, Keith A. Woodbury International Journal of Heat and Mass Transfer . 2016,第juna期

机译：逆导热问题：灵敏度系数见解，滤波器系数和固有验证
3. Intrinsic verification and a heat conduction database [J] . Kevin D. Cole, James V. Beck, Keith A. Woodbury, International Journal of Thermal Sciences . 2014,第Null期

机译：内部验证和热传导数据库
4. INTRINSIC VERIFICATION OF AN EXACT ANALYTICAL SOLUTION IN TRANSIENT HEAT CONDUCTION FOR NUMERICAL CODES VERIFICATION [C] . Giampaolo DAlessandro, Filippo de Monte International Symposium on Advances in Computational Heat Transfer . 2017

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5. Analysis of conduction heat transfer in semi-infinite slabs and infinite quadrants with discrete heat generation sources using Green's function integral methods. [D] . Meza Castillo, Omar Enrique. 2003

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6. Reply to Levermann et al.: Linear scaling for monsoons based on well-verified balance between adiabatic cooling and latent heat release [O] . William R. Boos, Trude Storelvmo 2016

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8. Application of the Finite-Element Method to Heat-Transfer Problems. Part I. Finite-Element Method Applied to Heat-Conduction Solids with Nonlinear Boundary Conditions [R] . Chu, S. C., Yalamanchili, R. V. S. 1971

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Intrinsic verification methods in linear heat conduction

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