不可压缩的Brinkman-Forchheimer方程的回溯两重网格法

王小娟; 贾宏恩

doi:10.13568/j.cnki.651094.651316.2020.06.24.0002

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不可压缩的Brinkman-Forchheimer方程的回溯两重网格法

数理科学 | 更新时间：2026-01-21

- 不可压缩的Brinkman-Forchheimer方程的回溯两重网格法
- 不可压缩的Brinkman-Forchheimer方程的回溯两重网格法
- 新疆大学学报（自然科学版中英文） 2021年38卷第3期页码：275-284
- 作者机构：
  
  太原理工大学数学学院
- 作者简介：
- 基金信息：
  
  山西省自然科学基金面上项目(201903D121038)
- DOI：10.13568/j.cnki.651094.651316.2020.06.24.0002
  中图分类号： O241.8
- 纸质出版：2021
- 稿件说明：
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[1]王小娟,贾宏恩.不可压缩的Brinkman-Forchheimer方程的回溯两重网格法[J].新疆大学学报(自然科学版)(中英文),2021,38(03):275-284.
[1]王小娟,贾宏恩.不可压缩的Brinkman-Forchheimer方程的回溯两重网格法[J].新疆大学学报(自然科学版)(中英文),2021,38(03):275-284. DOI： 10.13568/j.cnki.651094.651316.2020.06.24.0002.

DOI：10.13568/j.cnki.651094.651316.2020.06.24.0002.

摘要

本文考虑了不可压缩的Brinkman-Forchheimer方程的回溯两重网格法.该方法需要在粗网格上解一个非线性方程

在细网格上解一个Stokes问题以及在粗网格上解一个线性校正问题.最后给出了格式的能量误差估计

并用数值实验验证了本文算法的有效性及稳定性.

Abstract

In this paper

a two-grid method with backtracking for the incompressible Brinkman-Forchheimer equations is considered. The method needs to resolve a nonlinear equation on coarse mesh

a Stokes problem on the fine mesh and a linear correction problem on the coarse mesh. The energy error estimate of the format is given

moreover the effectiveness and stability of the proposed algorithm are validate by numerical tests.

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references

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