【摘要】 利用双重网格算法求解非定常Navier-Stokes(N-S)方程得到的数值解,采用最优正交分解(POD)方法对非定常N-S方程进行数值模拟.POD方法是从大量的实验数据中提取出标准正交的特征基函数,用这些基函数对非定常N-S流进行低阶近似,从而实现对流体的预测和控制.数值实验结果表明,该方法具有较好的可行性和高效性,可进一步应用到流体的优化控制和形状优化中.更多还原

【Abstract】 The proper orthogonal decomposition and low dimensional simulation of the non-stationary Navier-Stokes based on two-grid method is presented. The main idea of POD is to extract a set of normal orthogonal basis functions from a large number of experimental data and apply them to simulate the non-stationary Navier-Stokes flow. The results of numerical calculation show that the POD method is feasible and efficient, and it can be used in optimal control and shape optimization of fluids.更多还原