An efficient boundary meshfree computational approach for 3D multi-domain transient thermal analysis with variable thermal sources in nonhomogeneous media

IF 1.1 4区工程技术 Q4 THERMODYNAMICS

Thermal Science Pub Date : 2023-01-01 DOI:10.2298/tsci230215099l

Jing Ling, Dong-Sheng Yang, Hong-Ying Wang, Hong-Zhong Mou

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引用次数: 0

Abstract

Solutions of 3D multi-domain transient thermal analysis with variable thermal sources in nonhomogeneous media are separated into homogeneous and special solutions by an efficient boundary meshfree computational approach, namely virtual boundary meshfree Galerkin method. Homogeneous solutions are expressed by the virtual boundary element method. The virtual source functions of homogeneous solutions and the unknowable coefficients of special solutions can be formed by the radial basis function interpolation. Considering the control equation, the boundary and continuous conditions, and using the Galerkin method, the discrete formula for 3D multi-domain transient thermal analysis with variable thermal sources in nonhomogeneous media can be obtained. This discrete equation has symmetry. Meanwhile, in order to illustrate the steps of implementation more clearly, the final detailed implementation process is given. The numerical results of two calculation examples are obtained and compared to other methods and exact solutions. The proposed method's stability and exactness are validated for 3D multi-domain transient thermal analysis with variable thermal sources in nonhomogeneous media.

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非均匀介质中变热源三维多域瞬态热分析的有效边界无网格计算方法

采用一种有效的边界无网格Galerkin方法，将非均匀介质中含变热源的三维多域瞬态热分析解分解为均匀解和特殊解。用虚边界元法表示齐次解。通过径向基函数插值可以得到齐次解的虚源函数和特解的不可知系数。考虑控制方程、边界条件和连续条件，采用伽辽金方法，得到了非均匀介质中具有变热源的三维多域瞬态热分析的离散公式。这个离散方程具有对称性。同时，为了更清晰地说明实现的步骤，最后给出了详细的实现流程。给出了两个算例的数值结果，并与其他方法和精确解进行了比较。通过非均匀介质中变热源的三维多域瞬态热分析，验证了该方法的稳定性和准确性。

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来源期刊

Thermal Science 工程技术-热力学

CiteScore

2.70

自引率

29.40%

发文量

399

审稿时长

5 months

期刊介绍： The main aims of Thermal Science to publish papers giving results of the fundamental and applied research in different, but closely connected fields: fluid mechanics (mainly turbulent flows), heat transfer, mass transfer, combustion and chemical processes in single, and specifically in multi-phase and multi-component flows in high-temperature chemically reacting flows processes present in thermal engineering, energy generating or consuming equipment, process and chemical engineering equipment and devices, ecological engineering, The important characteristic of the journal is the orientation to the fundamental results of the investigations of different physical and chemical processes, always jointly present in real conditions, and their mutual influence. To publish papers written by experts from different fields: mechanical engineering, chemical engineering, fluid dynamics, thermodynamics and related fields. To inform international scientific community about the recent, and most prominent fundamental results achieved in the South-East European region, and particularly in Serbia, and - vice versa - to inform the scientific community from South-East European Region about recent fundamental and applied scientific achievements in developed countries, serving as a basis for technology development. To achieve international standards of the published papers, by the engagement of experts from different countries in the International Advisory board.