scholarly journals Analysis of the computing power of the interlineational finite element method of solution of the non-stationary heat conduction problem

2014 ◽  
pp. 43-50
Author(s):  
I.V. Sergienko ◽  
◽  
O.M. Lytvyn ◽  
L.S. Lobanova ◽  
G.V. Zaluzhna ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Computing Power ◽  
Stationary Heat ◽  
Method Of Solution ◽  
Stationary Heat Conduction ◽  
Element Method

scholarly journals Solving of spatial problem of non-stationary heat conduction based on semi-analytical finite element method

2015 ◽  
Vol 3 (2(23)) ◽  
pp. 61
Author(s):  
Олександр Іванович Гуляр ◽  
Сергій Олегович Пискунов ◽  
Віктор Петрович Андрієвський ◽  
Олексій Олександрович Шкриль
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Spatial Problem ◽  
Stationary Heat ◽  
Stationary Heat Conduction ◽  
Element Method

scholarly journals A Polygonal Scaled Boundary Finite Element Method for Solving Heat Conduction Problems

2021 ◽  
Author(s):  
Yang Yang ◽  
Zongliang Zhang ◽  
Yelin Feng ◽  
Yuzhen Yu ◽  
Kun Wang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Heat Conduction Problem ◽  
Mass Matrix ◽  
Eigenvalue Decomposition ◽  
Benchmark Problems ◽  
Polygonal Mesh ◽  
Scaled Boundary Finite Element ◽  
Element Method

This paper presents a steady-state and transient heat conduction analysis framework using the polygonal scaled boundary finite element method (PSBFEM) with polygon/quadtree meshes. The PSBFEM is implemented with commercial finite element code Abaqus by the User Element Subroutine (UEL) feature. The detailed implementation of the framework, defining the UEL element, and solving the stiffness/mass matrix by the eigenvalue decomposition are presented. Several benchmark problems from heat conduction are solved to validate the proposed implementation. Results show that the PSBFEM is reliable and accurate for solving heat conduction problems. Not only can the proposed implementation help engineering practitioners analyze the heat conduction problem using polygonal mesh in Abaqus, but it also provides a reference for developing the UEL to solve other problems using the scaled boundary finite element method.

The Application of Finite Element Method in Calculating Two-Dimensional Heat Conduction in the Ground

2014 ◽  
Vol 988 ◽  
pp. 479-482
Author(s):  
Hui Zhang ◽  
Jing Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Temperature Field ◽  
Heat Conduction ◽  
Soil Temperature ◽  
Heat Conduction Problem ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
The Mathematical Model ◽  
Element Method

This thesis simulated the principle of the fast heat conductivity testing instrument, introduced how to use the finite element method to calculate two-dimensional unstable heat conduction condition. When establish the mathematical model, the article simplifies the soil temperature field as the two-dimensional non-stable heat conduction problem. Through computation it can get the soil temperature field at any moment in the running time and the plan uniform temperature lines, that also may obtain the change of temperature about one point in the process. The method is simple and credible. These solutions of these questions are the foundation of research the heat conduction in the ground and the temperature field.

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