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Journal of East China Jiaotong University. 2023, (06)

Scaled Boundary Finite Element Method for Steady-State Nonlinear Heat Conduction ProblemChinese Full Text

Li Qinghua;Feng Zichao;Chen Shenshen;Kong Xianglu;School of Civil Engineering and Architecture, East China Jiaotong University;China Railway Harbin Group Co., Ltd.;

Abstract: A new numerical algorithm is presented to solve steady-state nonlinear heat conduction problems by combining the scaled boundary finite element method and the Kirchhoff transformation. In order to eliminate the nonlinearity related to the temperature dependence of the thermal conductivity, the Kirchhoff transformation is utilized to convert the nonlinear partial differential governing equation into the Laplace equation, and therefore iterative computation can be avoided. As a semi-analytical num... More
Keywords：

scaled boundary finite element method; heat conduction; nonlinear; Kirchhoff transformation;

  • DOI：

    10.16749/j.cnki.jecjtu.2023.06.007

  • Series：

    (C) Architecture/ Energy/ Traffic/ Electromechanics, etc; (A) Mathematics/ Physics/ Mechanics/ Astronomy

  • Subject：

    Mathematics; Dynamical Engineering

  • Classification Code：

    TK124;O241.82

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