| 基于特征分裂有限元准隐格式的共轭传热整体耦合数值模拟方法 |
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| 引用本文： | 刘瑜,邓家钰,王成恩,苏红星. 基于特征分裂有限元准隐格式的共轭传热整体耦合数值模拟方法[J]. 力学学报, 2021, 53(4): 986-997. DOI: 10.6052/0459-1879-20-299 |
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| 作者姓名： | 刘瑜 邓家钰 王成恩 苏红星 |
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| 作者单位： | *上海交通大学机械与动力工程学院, 上海 200240 |
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| 基金项目： | 1)装备预研共用技术项目(41423010103) |
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| 摘 要： | 共轭传热现象在科学和工程领域中大量存在.随着计算能力的发展,对共轭传热现象进行准确有效的数值模拟,成为科学研究和工程设计上的重要挑战.共轭传热数值模拟的方法可以分为两大类:分区耦合和整体耦合.本文采用有限元法对共轭传热问题进行整体耦合模拟.固体传热求解采用标准的伽辽金有限元方法.流动求解采用基于特征分裂的有限元方法.该...
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| 关 键 词： | 共轭传热 整体耦合 不可压缩流动 有限元 数值模拟 |
| 收稿时间： | 2020-08-24 |
A MONOLITHIC METHOD FOR SIMULATING CONJUGATE HEAT TRANSFER VIA QUASI-IMPLICIT SCHEME OF CHARACTERISTIC-BASED SPLIT FINITE ELEMENT |
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| Affiliation: | *School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China?School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, Liaoning, China |
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| Abstract: | Conjugate heat transfer is widely present in the fields of science and engineering. With the development of computing power, the accurate and effective numerical simulation of conjugate heat transfer has become a major challenge in scientific research and engineering design. The method of numerical simulation of conjugate heat transfer can be divided into two main categories: partitioned method and monolithic method. Each of these methods has its pros and cons. We have developed a monolithic method for simulating the conjugate heat transfer between solid and incompressible laminar flows with the finite element method. Heat conduction in solid is solved by the standard Galerkin finite element method. The flow solution adopts the characteristic-based split finite element method (CBS). This method is an important finite element method for solving flow problems, and equal-order finite elements can be used. Compared with semi-implicit and CBS-AC schemes, the quasi-implicit scheme of this method can adopt a larger time-step. The stability of the quasi-implicit scheme is improved by distinguishing the time step in the stabilization item from the global time step. Based on the quasi-implicit scheme of the improved CBS method, a monolithic method of conjugate heat transfer numerical simulation has been developed. In this way, the fluid part and solid part of the computational domain can be divided into finite element meshes as a whole, and the equal-order interpolation functions can be used for all variables, thus facilitating the realization of the program. The accuracy of this method is validated by simulating the benchmark problems. The effect of the time step for the solid domain on the convergence of steady conjugate heat transfer simulation has also been studied. |
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