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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >Calculating the multi-domain transient heat conduction with heat source problem by virtual boundary meshfree Galerkin method
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Calculating the multi-domain transient heat conduction with heat source problem by virtual boundary meshfree Galerkin method

机译：通过虚拟边界网格免费Galerkin方法计算利用热源问题的多域瞬态热传导

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摘要

The virtual boundary meshfree Galerkin method (VBMGM) is given to calculate the multi-domain transient heat conduction with heat source problem. The radial basis function interpolation is used to obtain the virtual source function on the virtual boundary, the heat source, the particular solutions of the temperature, and the heat flux in the computational domain. The formula of the proposed method is gotten by the Galerkin method and the control equations of the multi-domain transient heat conduction with heat source. Therefore, there are the advantages of the Galerkin method, the boundary element method, and the meshfree method for the multi-domain transient heat conduction with heat source problem by VBMGM. The numerical meaning of the weighted values are definite for the multi-domain transient heat conduction with heat source problem through VBMGM, such as the partial derivatives of the temperature, the heat flux, the heat source, and the continuity conditions on the public boundary at t + Delta t time. The detailed calculation scheme of VBMGM is deducted for the multi-domain transient heat conduction with heat source problem. Two numerical examples, four subdomains with the time-dependent heat source problem and two subdomains with the constant heat source and mixed boundary condition problem, are computed. The accuracy and the stability of VBMGM for the multi-domain transient heat conduction with heat source problem are verified.
机译：虚拟边界网外Galerkin方法（VBMGM）被给出与热源问题的多域瞬态导热。径向基函数插值用于获得虚拟边界，热源，温度特定解决方案的虚拟源功能，以及计算域中的热通量。通过Galerkin方法和用热源的多域瞬态导热的多域瞬态导热的控制方程得到了所提出的方法的公式。因此，Galerkin方法的优点，边界元方法和VBMGM利用热源问题的多域瞬态热传导的多域瞬态热传导的不同方法。加权值的数值含义明确用于通过VBMGM与热源问题的多域瞬态导热，例如温度，热通量，热源和公共边界的连续性条件的部分衍生物T +三角洲T时间。用热源问题扣除VBMGM的详细计算方案，为多域瞬态导热传导。计算两个数值示例，计算具有时间相关的热源问题的四个子域，以及具有恒定热源和混合边界条件问题的两个子域。验证了VBMGM对多域瞬态热传导的VBMGM与热源问题的准确性和稳定性。

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