A finite element method for prediction of unknown boundary conditions in two-dimensional steady-state heat conduction problems

Kanjanakijkasem, Worasit

doi:10.1016/j.ijheatmasstransfer.2015.05.019

Cited by 19 publications

(1 citation statement)

References 28 publications

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“…6.1 Steady-state heat conduction analysis , and the one at other side is zero. The analytical solution for this problem is given by [26] 100 ( , ) sin sinh sinh(0.5 )…”

Section: Numerical Examplesmentioning

confidence: 99%

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

Yang¹,

Zhang²,

Yang³

et al. 2021

Preprint

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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.

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“…6.1 Steady-state heat conduction analysis , and the one at other side is zero. The analytical solution for this problem is given by [26] 100 ( , ) sin sinh sinh(0.5 )…”

Section: Numerical Examplesmentioning

confidence: 99%