...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied Mathematical Modelling >Performance of geometric multigrid method for coupled two-dimensional systems in CFD
【24h】

Performance of geometric multigrid method for coupled two-dimensional systems in CFD

机译：CFD中耦合二维系统的几何多重网格方法的性能

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The performance of a geometric multigrid method is analyzed for two-dimensional Laplace, Navier, Burgers and two formulations of Navier-Stokes (streamfunction-vorticity and streamfunction-velocity) equations. These equations are discretized with the Finite Difference Method on uniform grids with numerical approximations of first- and second-orders of accuracy. The systems of equations are solved with a Modified Strongly Implicit (MSI) and a Successive Over Relaxation (SOR) solver associated with the multigrid method with a V-cycle and a Correction Scheme (CS) and a Full Approximation Scheme (FAS). The effect of the number of inner iterations of the solver, the number of grid levels problems with grid sizes of 1025 × 1025 points, the influence of differential equations numbers and Reynolds number up to 1000 on Central Processing Unit (CPU) time are investigated. The results show that (1) a solution of two coupled equations (Navier or Burgers) is obtained with the same efficiency multigrid textbook that occurs in the solution of only one equation (Laplace), (2) the efficiency of the multigrid method in the solution of two coupled equations (Navier-Stokes streamfunction-vorticity formulation) or only one equation (the Navier-Stokes streamfunction-velocity formulation) decreases with increasing Reynolds numbers, and (3) the poor performance of the multigrid method for solving the Navier-Stokes seems to be related to the physics of the problem and not to the type of formulation or coupling between the equations.
机译：分析了二维Laplace，Navier，Burgers和Navier-Stokes两种公式（流函数-涡度和流函数-速度）方程的几何多重网格方法的性能。这些方程式通过有限差分法在具有一阶和二阶精度数值近似的均匀网格上离散化。方程组使用修正的强隐式（MSI）和与V循环，校正方案（CS）和全近似方案（FAS）的多重网格方法关联的逐次松弛法（SOR）求解器求解。研究了求解器内部迭代次数，网格大小为1025×1025点的网格级别问题的数目，微分方程数和雷诺数最大为1000的影响对中央处理器（CPU）时间的影响。结果表明：（1）使用仅在一个方程（Laplace）的解中出现的相同效率的多重网格教科书获得两个耦合方程（Navier或Burgers）的解，（2）在随着雷诺数的增加，两个耦合方程（Navier-Stokes流函数-涡度公式）或仅一个方程（Navier-Stokes流函数-速度公式）的解会减小，并且（3）求解Navier-斯托克斯似乎与问题的物理性质有关，与公式的类型或方程之间的耦合无关。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2015年第9期|2602-2616|共15页
  • 作者

    C.D. Santiago; C.H. Marchi; L.F. Souza;

  • 作者单位

    Federal Technology University of Parana (UTFPR), Zip Code: 86812-460, Apucarana, Parana, Brazil;

    Laboratory of Numerical Experimentation (LENA), Department of Mechanical Engineering (DEMEC), Federal University of Parana (UFPR), Caixa postal 19040, CEP 81531-980, Curitiba, Parana, Brazil;

    University of Sao Paulo, Department of Applied Mathematics and Statistics, Campus de Sao Carlos, Caixa postal 668, Zip Code: 13560-220, Sao Carlos, SP, Brazil;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Finite difference; Multigrid; Solvers; Burgers; Laplace; Navier-Stokes;

    机译：有限的差异;多重网格解算器汉堡;拉普拉斯纳维尔·斯托克斯;

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号