High‐order accurate conjugate heat transfer solutions with a finite volume method in anisotropic meshes with application in polymer processing. (24th December 2021)

• Record Type: Journal Article
• Authors: Costa, Ricardo; Nóbrega, João M.; Clain, Stéphane; Machado, Gaspar J.
• Is Part Of: International journal for numerical methods in engineering. Volume 123:Number 4(2022)
• Page Start: 1146
• Page End: 1185
• Publication Date: 2021-12-24
• Subjects: anisotropic polygonal meshes -- conjugate heat transfer problems -- curved boundaries and interfaces -- high‐order accurate finite volume method -- OpenFOAM® software -- polymer processing applications; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.6892
• Languages: English
• ISSNs: 0029-5981

Abstract

Abstract: The computational modeling has become an indispensable tool to support the engineering design and control of many industrial processes. In polymer processing applications, the simulation of conjugate heat transfer phenomena is critical as rigorous temperature control is necessary to ensure that the produced parts meet the required specifications. In this article, a high‐order accurate finite volume method is proposed to improve the numerical accuracy and the computational efficiency of conjugate heat transfer simulations with application in polymer processing. Anisotropic meshes are investigated to significantly reduce the number of unknowns in convection‐dominated problems where the higher temperature variations occur perpendicularly to curved boundaries and interfaces. The reconstruction for off‐site data method based on polynomial reconstructions is employed to fulfill the prescribed boundary and interface conditions solely using polygonal meshes to avoid the limitations of curved mesh approaches. A code verification benchmark based on manufactured solutions proves that the proposed method provides a fourth‐order of convergence and is computationally more cost‐effective than the classical second‐order of convergence. Moreover, meshes with higher aspect ratios improve the calculation efficiency but suffer from a small accuracy penalty due to conditioning deterioration. Comparison with the classical finite volume discretization techniques, widely implemented in commercial and open‐source software packages, is also provided. The applicability and performance of the proposed method are further supported with a practical case study for the sheet extrusion cooling stage.