Author(s)

D. Priedeman & A.J. Kassab

Abstract

A BEM solution of the hyperbolic heat conduction equation (HHCE) is developed using the time dependent Green's free space solution and a convolution time marching scheme. Influence coefficients are numerically evaluated using an adaptive Gauss-Kronrod quadrature. Numerical implementation of the BEM solution in 1-D is discussed with special attention given to implementing hyperbolic boundary flux conditions and the evaluation of the influence coefficients. Numerical examples show close agreement between BEM and analytical solutions. Thermal shocks and reflections are correctly located and sharply captured. The undamped wave equation was also solved as a limiting case of the HHCE with promising results. It is found that the implicit damping present in the HHCE h

Keywords