Work

A time-domain precise BEM for solving transient heat conduction problems with variable heat conductivities

Year: 2013

Type: conference-paper

Abstract: In this paper, the Green's function for the Laplace equation is adopted to derive the boundary integral equation for solving transient heat conduction problems with variable heat conductivities and heat sources.As a result, domain integrals are involved in the derived integral equations.Firstly, the radial integration method is used to convert the domain integrals into equivalent boundary integrals.Then, by expanding variables at a discrete time interval, the recursive formulation of the governing equation is derived.Finally, the recursive equation is solved by the radial integration boundary element method.A self-adaptive check technique is carried out to estimate how many expansion terms are needed in a time step size.Numerical results show satisfactory performance.

Source: WIT transactions on modelling and simulation

DOI: 10.2495/bem360231

Authors: Bo Yu, Wei-An Yao, Xiao-Wei Gao

Institutions: Dalian University of Technology, State Key Laboratory of Structural Analysis for Industrial Equipment

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funder: Specialized Research Fund for the Doctoral Program of Higher Education of China

Award: G588561413