...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Computational Physics >A direct solver for the least-squares spectral collocation system on rectangular elements for the incompressible Navier-Stokes equations
【24h】

A direct solver for the least-squares spectral collocation system on rectangular elements for the incompressible Navier-Stokes equations

机译：不可压缩的Navier-Stokes方程在矩形元素上的最小二乘光谱配位系统的直接求解器

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

A least-squares spectral collocation scheme for the Stokes and incompressible Navier-Stokes equations is proposed. The original domain is decomposed into quadrilateral subelements and on the element interfaces continuity of the functions is enforced in the least-squares sense. The collocation conditions and the interface conditions lead to overdetermined systems. These systems are directly solved by QR decomposition of the underlying matrices. By numerical simulations it is shown that the direct method leads to better results than the approach with normal equations. Furthermore, it is shown that the condition numbers can be reduced by introducing the Clenshaw-Curtis quadrature rule for imposing the average pressure to be zero. Finally, our scheme is successfully applied to the regularized and lid-driven cavity flow problems. (C) 2008 Elsevier Inc. All rights reserved.
机译：提出了斯托克斯方程和不可压缩的Navier-Stokes方程的最小二乘谱配置方案。原始域被分解为四边形子元素，并且在元素接口上以最小二乘意义增强了功能的连续性。并置条件和接口条件导致系统超定。这些系统可以通过基础矩阵的QR分解直接解决。通过数值模拟表明，直接法比使用正态方程的方法能产生更好的结果。此外，示出了可以通过引入用于将平均压力强加为零的Clenshaw-Curtis求积规则来减少条件数。最后，我们的方案已成功应用于正则化和盖驱动的腔体流动问题。 （C）2008 Elsevier Inc.保留所有权利。

著录项

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