Parallel Computing Of 2-D Three Temperature Radiation Heat Conduction Equations With Hypre

Two dimensional three temperature radiation heat conduction equations 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.In the paper, firstly, we introduce Hypre which is a software library for solving large, sparse linear systems of equations on massively parallel computers. Using the IJ interface of Hypre , we devise a parallel solver for linear algebra equations and provide a Fortran interface to call the solver.Secondly, we successfully devise two kinds of parallel algorithms for 2-D three temperature radiation heat conduction equations, which one is based on single-grid discrete scheme and another is based on two-grid discrete scheme. Correlative numerical experiments show that the two parallel algorithms are much more efficient than the sequential algorithms.Thirdly, we propose a block preconditioner based on the block diagonal matrices of FEM discretization system of 2-D three temperature radiation heat conduction equations. The estimation of the condition number is obtained in the paper.