Heat waves simulation
This paper deals with one-dimensional simulation of heat waves, which occur in materials affected by pulsed or continuous surface heat source. The mathematical model is constructed according to the extended hyperbolic heat conduction (EHHC) theory. Effects of relaxation numbers, surface emissivity, or surface heat convection transfer are discussed. The designed analytical-numerical simulation method is investigated to show special features and behavior of the method. Simulation examples are devoted to numerical oscillations and to ways of their minimization. Resulting temperature distributions from simulation experiments are complemented with instructions for use to obtain better accuracy and to suppress undesirable oscillations. (C) 1999 Elsevier Science Ltd. All rights reserved.
non-fourier heat conduction computer simulation numerical mathematics