计算物理 ›› 2009, Vol. 26 ›› Issue (3): 378-388.DOI: 10.3969/j.issn.1001-246X.2009.03.007
• 研究论文 • 上一篇 下一篇
马岩, 胡健伟
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MA Yan, HU Jianwei
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摘要: 研究圆柱绕流中拉力系数的自适应计算问题.对二维定常粘性不可压Navier-Stokes方程使用迎风有限元格式,通过引入对偶问题,得到圆柱拉力系数的加权后验误差估计器,实现了自适应网格加密.数值实验表明格式的可行性以及估计器的稳健性.
关键词: Navier-Stokes方程, 圆柱绕流, 拉力系数, 自适应迎风有限元, 后验误差估计
Abstract: We study adaptive computation of drag-coefficient of flow around a cylinder. We adopt upwind finite element schemes for two-dimensional stationary viscous incompressible Navier-Stokes equations, derive weighted posteriori error estimation for drag-coefficient by introducing a dual problem, and implement adaptive mesh refinement. Numerical examples show feasibility of the scheme and robust performance of estimators.
Key words: Navier-Stokes equations, flow around a cylinder, drag-coefficient, adaptive upwind FEM, a posteriori error estimates
中图分类号:
O242.21
马岩, 胡健伟. 计算圆柱绕流拉力系数的自适应迎风有限元方法[J]. 计算物理, 2009, 26(3): 378-388.
MA Yan, HU Jianwei. Adaptive Upwind FEM for Drag-coefficient of Flow Around a Cylinder[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(3): 378-388.
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链接本文: http://www.cjcp.org.cn/CN/10.3969/j.issn.1001-246X.2009.03.007
http://www.cjcp.org.cn/CN/Y2009/V26/I3/378