engleski

Formulation of Boundary Element Method for Unsteady Heat Conduction

The paper presents a boundary element method for solving problems related to unsteady heat conduction in isotropic space. From Green's theorem of heat conduction (that reduces the integration on spatial-time domain to integration on spatial-time boundary) and differential equation of heat conduction follows integral equation of unsteady heat conduction. By dividing boundary into boundary elements, integral equation of unsteady heat conduction is reduced to the series of systems of linear equations. Each system represents equilibrium of boundary conditions in the actual time interval in relation to heat sources and boundary conditions applied in the past time intervals. After boundary conditions are determined for the specific time-interval, it is easy to find temperature field and heat flux in the same time-interval. Dividing boundary into boundary elements is a simple process in comparison to dividing entire body into finite elements. Obtained systems of linear equations have significantly lesser number of unknowns and equations than similar systems obtained by other numerical methods, such as by finite element and finite differences methods.

unsteady heat conduction; boundary element method

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