关键词:

辐射换热, 离散坐标法, Chebyshev配置点谱方法, Schur分解

Abstract:

Based on the Chebyshev collocation spectral method and Schur decomposition, two direct solvers for radiative discrete ordinates equations for a three-dimensional rectangular furnace with absorbing-emitting medium are developed.For the three-dimensional matrix equation from discretization of the radiative transfer equation, one solver is based on two-dimensional Schur decomposition after the transform of three-dimensional matrix equation to two-dimensional one using tensor product, and the other is based on three-dimensional Schur decomposition, which is developed in the present work.With the same parameters, the numerical experiments indicate that the new solvers can provide good accuracy.Compared with the standard discrete ordinates method, the new solvers are much faster, leading to less CPU time.Specially, the CPU time of the new solver based on the three-dimensional Schur decomposition is just 10%—1% of the standard discrete ordinates method.

Key words:

辐射换热, 离散坐标法, Chebyshev配置点谱方法, Schur分解