A single stable scheme for steady conjugate heat transfer problems

JOURNAL OF COMPUTATIONAL PHYSICS

卷:394

Article

Errera, Marc-Paul¹  Moretti, Rocco¹  Salem, Rami¹  Bachelier, Yohann¹  Arrive, Thomas¹  Minh Nguyen¹ 

[1] Univ Paris Saclay, ONERA, DAAA, 29 Ave Div Leclerc, F-92320 Chatillon, France

关键词: Fluid-structure interaction;    Conjugate heat transfer;    Thermal coupling;    Steady;    Stability;   

DOI  :  10.1016/j.jcp.2019.05.036

来源: Elsevier

【 摘 要 】

The goal of this paper is to propose a single interface treatment, based on the Dirichlet-Robin interface condition to deal with all steady CHT scenarios. These scenarios depend on the so-called numerical Biot number that controls the stability process and the optimal coefficient that ensures, in theory, unconditional stability. It is shown that this coefficient is closely related to fundamental thermal quantities. For very large thermal fluid-solid interactions, the Dirichlet-Robin condition may result in profound stability issues. A thorough examination of the stability behavior has highlighted a narrow and slow varying stable zone located around the optimal coefficient. This allows us to determine coupling coefficients valid in any case and the reasonable value of these coefficients avoids significantly impairing the accuracy of CHT solutions. A flat plate, partially protected by a thermal barrier coating, is presented as a test case. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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