Numerical simulation of hyperbolic heat conduction with convection boundary conditions and pulse heating effects

David E. Glass, Kumar K. Tamma, Sudhir B. Railkar

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Abstract

The paper describes the numerical simulation of hyperbolic heal conduction with convection boundary conditions. The effects of a step heat loading, a sudden pulse heal loading, and an internal heat source are considered in conjunction with convection boundary conditions. Two methods of solution are presented for predicting the transient behavior of the propagating thermal disturbances. In the first method, MacCormack’s predictor-corrector method is employed for integrating the hyperbolic system of equations. Next, the transfinite element method, which employs specially tailored elements, is used for accurately representing the transient response of the propagating thermal wave fronts. The agreement between the results of various numerical test cases validate the representative behavior of the thermal wave fronts. Both methods represent hyperbolic heat conduction behavior by effectively modeling the sharp discontinuities of the propagating thermal disturbances.

Original languageEnglish (US)
StatePublished - Jan 1 1989
EventAIAA 24th Thermophysics Conference, 1989 - Buffalo, United States
Duration: Jun 12 1989Jun 14 1989

Other

OtherAIAA 24th Thermophysics Conference, 1989
CountryUnited States
CityBuffalo
Period6/12/896/14/89

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Glass, D. E., Tamma, K. K., & Railkar, S. B. (1989). Numerical simulation of hyperbolic heat conduction with convection boundary conditions and pulse heating effects. Paper presented at AIAA 24th Thermophysics Conference, 1989, Buffalo, United States.