Numerical solution of two-dimensional axisymmetric hyperbolic heat conduction

Abstract

 Hyperbolic heat conduction in two-dimensional axisymmetric coordinates is investigated numerically using a second order TVD scheme. Complex boundary conditions such as convection and radiation on the surfaces, are considered in the numerical modeling, and their effects on the thermal wave propagation are presented. Newton's iteration method is used to treat the nonlinear nature of radiation boundary. Numerical experiments include a continuous heat flux, a single pulsed heat flux, and a periodically pulsed heat flux at the left boundary. Numerical solution agrees well with the known analytical solution in cases where analytical solution is available.