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 language||English (US)|
|State||Published - 1989|
|Event||AIAA 24th Thermophysics Conference, 1989 - Buffalo, United States|
Duration: Jun 12 1989 → Jun 14 1989
|Other||AIAA 24th Thermophysics Conference, 1989|
|Period||6/12/89 → 6/14/89|
Bibliographical noteFunding Information:
The authors are pleased to acknowledge support of this research in part by the Thermal Structures Branch, NASA - Langley Research Center, Hampton, Virginia.
© 1989 by David E. Glass. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.