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.
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 dragcoefficient by introducing a dual problem, and implement adaptive mesh refinement. Numerical examples show feasibility of the scheme and robust performance of estimators.