瓦楞板上的自然对流:关于网格、边界条件和物理域确定的数值案例研究

S. A. Verdério Júnior, V. L. Scalon, S. Oliveira, P. J. Martins Coelho
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引用次数: 1

摘要

自然对流传递的热量和质量存在于自然界和工程设备中最多样化的物理和化学现象中。在过去的几十年里,自然对流的研究数量急剧增长,重点研究了物理数学建模和数值解,实验分析和流体热系统的设计和优化技术。本文分析了等温方波板在高瑞利数湍流条件下自然对流换热问题的物理数学建模和数值求解中几个数值参数的影响。分析的数值参数包括网格细化程度、壁面边界条件(在湍流参数中实现壁面函数或不实现壁面函数)和计算物理域影响。免费和开源的计算数值工具专门用于这项工作的构建。在湍流参数中实现壁面函数的网格具有更高的精度,并且需要更少的计算量和模拟时间,此外还可以使用更低程度的网格细化。从求解的精度、计算量、稳定性和数值收敛性三个方面确定了所研究情形问题物理模型的最佳数值配置。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
NATURAL CONVECTION ON CORRUGATED PLATES: A NUMERICAL CASE STUDY ABOUT MESHES, BOUNDARY CONDITIONS AND PHYSICAL DOMAIN DETERMINATION
The transfer of heat and mass by natural convection is present in the most diverse physical and chemical phenomena of nature and engineering equipment. In the last decades, the number of research on natural convection has grown dramatically, highlighting studies in physical-mathematical modeling and numerical solutions, experimental analysis and design and optimization techniques for fluid-thermal systems. This case study analyzed the influence of several numerical parameters in physical-mathematical modeling and numerical solution of natural convection heat transfer problems on isothermal plates with square waves in turbulent conditions of high Rayleigh number. The numerical parameters analyzed were the mesh refinement degree, wall boundary conditions (with or without wall functions implemented in the turbulent parameters) and computational physical domain influence. Free and open-source computational numerical tools were exclusively used in the construction of this work. Meshes with wall functions implemented in turbulent parameters presented greater accuracy and required less computational effort and simulation time, besides enabling the use of a lower degree of mesh refinement. The best numerical configuration of the physical model for the situation problem studied were defined from the criteria of accuracy, computational effort demanded, and stability and numerical convergence of the solution.
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