Direct solvers for discrete ordinates equations based on Chebyshev collocation spectral method

LI Benwen; ZHANG Wenling

您当前的位置：

首页 >

文章列表页 >

Direct solvers for discrete ordinates equations based on Chebyshev collocation spectral method

更新时间：2025-12-10

- Direct solvers for discrete ordinates equations based on Chebyshev collocation spectral method
- CIESC Journal Issue 2, Pages: 296-301(2010)
- 作者机构：
  
  1. 东北大学材料电磁过程研究教育部重点实验室
  2. 福建理工学校
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Online First：05 February 2010，
  
  Published：05 February 2010
- 稿件说明：
移动端阅览
LI Benwen, ZHANG Wenling. Direct solvers for discrete ordinates equations based on Chebyshev collocation spectral method[J]. CIESC Journal, 2010, (2): 296-301.
DOI：

LI Benwen, ZHANG Wenling. Direct solvers for discrete ordinates equations based on Chebyshev collocation spectral method[J]. CIESC Journal, 2010, (2): 296-301. DOI：

摘要

针对三维长方形炉内具有吸收-发射介质的辐射换热，基于Chebyshev配置点谱方法和Schur分解开发了直接求解辐射离散坐标方程的求解器。针对离散后所得到的三维矩阵方程，分别用两种方法进行求解，一种是用张量积将三维转变成二维然后直接用Schur分解求解;另一种是自行开发三维Schur分解直接求解。数值实验表明，在相同的输入参数下，新求解器具有很好的精度，尤其相比于标准离散坐标法，新求解器能节省大量计算时间。特别是基于三维Schur分解的直接求解器，在相同的输入参数下，计算时间只有标准离散坐标法的10%～1%。

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.

关键词

Keywords

references

Views

237

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Study on flash evaporation characteristics as well as thermodynamic variation performance in liquid hydrogen tank during on-orbit venting

Corrosion health status assessment method for refining unit pipeline based on GLAE-MLP

Construction of transition metal-based nitrogen-doped carbon and their desulfurization performance

Study on microwave enhanced removal performance of organic matter in coking waste salt

Research on the characterization of the molecular weight and its distribution of perfluoropolyether

Related Author

No data

Related Institution

No data

⁰