A6

Jun Jiang, Shi Shu, Yunqing Huang and Long Chen. A New Adaptive Mesh Method for Two Dimensional Heat Conduction Equations with Three Temperatures. Chinese Journal of Computational Physics, 24(1), 19-28, 2007.

ABSTRACT: Two dimensional heat conduction equations with three temperature is an important model in the simulation of inertial confinement fusion (ICF), which approximately describes the process of radiant energy broadcasting in the quiescent medium and energy exchange of electrons with photons and irons. A symmetric finite volume method (SFVEM) and a new mesh adaptation approach based on the Hessian matrix are proposed for the the numerical simulation in this paper. It is shown that the energy conversation error of our new approach is much better than other adaptive mesh methods using only the gradient of the solution.