图书馆订阅: Guest
Proceedings of CHT-17 ICHMT International Symposium on Advances in Computational Heat Transfer
May 28 - June 1, 2017, Napoli, Italy

DOI: 10.1615/ICHMT.2017.CHT-7


ISBN Print: 9781-56700-4618

ISSN: 2578-5486

INTRINSIC VERIFICATION OF AN EXACT ANALYTICAL SOLUTION IN TRANSIENT HEAT CONDUCTION FOR NUMERICAL CODES VERIFICATION

pages 743-767
DOI: 10.1615/ICHMT.2017.CHT-7.760
Get accessGet access

摘要

The concept of intrinsic verification is applied to an exact analytical solution to be used for verification of fully-numerical transient heat conduction solvers, based on finite and finite difference methods. In particular, the addressed problem concerns a finite one-dimensional rectangular body in imperfect thermal contact with a high-conductivity surface layer subject to a jump in heat flux. Once the exact analytical temperature solution is known, it is possible to define a computational analytical solution for short and large times, as well as for a quasi-steady state. The symbolic intrinsic verification of the solution is proven by checking that it satisfies the governing equations, the first law of thermodynamics, and that it reduces to simpler related solutions for special cases. Then, once a computer code is made available, the numerical intrinsic verification is proven by using the concept of penetration time, finite difference schemes, and numerical results from simpler related solutions. Indications of intrinsic verification are obtained, so ensuring a correctness to many significant figures (such as ten or even fifteen), far beyond the accuracy generally practicable from fully numerical solutions.

Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集 订购及政策 Begell House 联系我们 Language English 中文 Русский Português German French Spain