A Time-domain Precise BEM For Solving
Transient Heat Conduction Problems With
Variable Heat Conductivities
Author(s)
Bo Yu, Wei-An Yao & Xiao-Wei Gao
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.
Keywords: time-domain precise algorithm, radial integration method, boundary
element method, self-adaptive check, variable heat conductivity, heat source.
Keywords
time-domain precise algorithm, radial integration method, boundary
element method, self-adaptive check, variable heat conductivity, heat source
Related Book
Other papers in this volume
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