The discrete unified gas kinetic scheme with constant Neumann boundary condition for flow and heat transfer

IF 6.4 2区工程技术 Q1 MECHANICS

International Communications in Heat and Mass Transfer Pub Date : 2025-04-28 DOI:10.1016/j.icheatmasstransfer.2025.108981

Yutao Huo , Xiuli Cheng , Meng Wang , Siqi Wang , Zhonghao Rao

引用次数: 0

Abstract

In this paper, a new Neumann boundary condition is proposed for the discrete unified gas kinetics scheme (DUGKS) in this paper. The boundary has been verified by solving several flow and heat transfer problems, such as heat transfer between two concentric circles, lid-driven in a cavity heated by constant heat flux and Natural convection around a heated circular object. The results showed that the DUGKS with proposed Neumann boundary possesses second-order accuracy by comparing with the analytical solution of the one-dimensional temperature field. Furthermore, the unstructured mesh can be used to obtain the results of velocity and temperature, where the relative errors are both less than 2 %, compared with ANSYS FLUENT using the same mesh system. The results show that Neumann boundary constructed in this paper can accurately solve the flow field and temperature field.

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流动和传热的离散统一气体动力学格式，具有常诺伊曼边界条件

本文提出了离散统一气体动力学格式（DUGKS）的一个新的Neumann边界条件。通过求解几个流动和传热问题，如两个同心圆之间的传热、恒定热流通量加热的腔内盖子驱动和加热圆形物体周围的自然对流，验证了该边界。结果表明，与一维温度场解析解相比，具有Neumann边界的DUGKS具有二阶精度。此外，采用非结构化网格可以获得速度和温度的计算结果，与使用相同网格系统的ANSYS FLUENT相比，其相对误差均小于2%。结果表明，本文所构建的诺伊曼边界能准确求解流场和温度场。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Communications in Heat and Mass Transfer 工程技术-力学

CiteScore

11.00

自引率

10.00%

发文量

648

审稿时长

32 days

期刊介绍： International Communications in Heat and Mass Transfer serves as a world forum for the rapid dissemination of new ideas, new measurement techniques, preliminary findings of ongoing investigations, discussions, and criticisms in the field of heat and mass transfer. Two types of manuscript will be considered for publication: communications (short reports of new work or discussions of work which has already been published) and summaries (abstracts of reports, theses or manuscripts which are too long for publication in full). Together with its companion publication, International Journal of Heat and Mass Transfer, with which it shares the same Board of Editors, this journal is read by research workers and engineers throughout the world.