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

更新时间：2026-01-21

- 不可压缩的Brinkman-Forchheimer方程的回溯两重网格法
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 38, Issue 3, Pages: 275-284(2021)
- 作者机构：
  
  太原理工大学数学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.651316.2020.06.24.0002
  CLC： O241.8
- Published：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.

关键词

Keywords

references

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