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A 3D Finite Element Simulation Method Based on Thermal Radiation Boundary Conditions

A technology of boundary conditions and simulation methods, applied in 3D modeling, instrumentation, geometric CAD, etc., can solve the problems of lack of verification of complex models, failure to deal with radiation boundary problems, etc., and achieve the effect of solving insufficient applicability

Active Publication Date: 2020-12-29
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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Problems solved by technology

Zhang Bo of Xi'an Jiaotong University proposed an indirect iterative method to deal with, but did not deal with the radiation boundary problem from the essence of the finite element, but transformed the nonlinear radiation problem into a Norman boundary condition to solve it, which can only be applied in domain-specific and lacks necessary validation for complex models

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  • A 3D Finite Element Simulation Method Based on Thermal Radiation Boundary Conditions
  • A 3D Finite Element Simulation Method Based on Thermal Radiation Boundary Conditions
  • A 3D Finite Element Simulation Method Based on Thermal Radiation Boundary Conditions

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Embodiment Construction

[0021] The technical solution of the present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0022] refer to figure 1 , a three-dimensional finite element simulation method based on thermal radiation boundary conditions, including the following steps:

[0023] A. Model the target device and establish the corresponding geometric structure model.

[0024] B. The finite element weak form of the thermal radiation boundary condition is obtained by using the Galerkin weighted residual method.

[0025] In order to solve the thermal radiation boundary condition with finite element, it is necessary to construct the boundary value problem first, including two parts: the governing differential equation of heat conduction and the thermal radiation boundary condition, as shown in the following equation:

[0026]

[0027]

[0028] in is the Laplace operator, u is the temperature value in the solution domain, k i...

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Abstract

The invention belongs to the technical field of three-dimensional thermal analysis numerical solution, and relates to a three-dimensional finite element simulation method based on thermal radiation boundary conditions. The invention first models the device to be subjected to thermal analysis, then introduces the radiation boundary condition into the heat conduction problem, and adopts the Galerkin residual number weighting method to obtain the finite element weak form of the thermal radiation boundary condition. Then use the tetrahedral grid subdivision model, select the second-order stacked basis function, discrete finite element weak form equation, cooperate with the Newton-Raphson iterative method to obtain the finite element element matrix and the right end vector, integrate the final equation system, and finally use the scientific Non-linear convergence criterion, after continuous iteration, the final numerical calculation results can be obtained quickly and accurately.

Description

technical field [0001] The invention belongs to the technical field of three-dimensional thermal analysis numerical solution, and relates to a three-dimensional finite element simulation method based on thermal radiation boundary conditions. Background technique [0002] As a satellite high-power core device, the space traveling wave tube is not only affected by the high and low temperature of the vacuum, but also by the long-term influence of space solar radiation, infrared radiation and vacuum cold black background temperature during the working process. These thermal environments will affect the space The electrical parameters and thermal stability of the TWT pose a serious threat to the normal operation of the TWT. In order to ensure that the various components of the space traveling wave tube maintain a normal operating temperature, the heat dissipation design becomes particularly important. Since the space traveling wave tube is exposed to the external vacuum environm...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/23G06F30/10G06T17/20G06F119/08
Inventor 徐立谢鹏李斌杨中海
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA
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