中文摘要：

利用特征投影分解技术和奇值分解方法，建立抛物化Navier—Stokes方程的降维仿真模型，讨论降维仿真模型解的稳定性和误差，并利用误差估计指导特征投影分解基函数的选取及特征投影分解基函数的更新．最后，用数值试验验证降维仿真模型的有效性和可行性．

英文摘要：

With proper orthogonal decomposition （POD） technique and singular value decomposition method we establish a reduced- order simulation model for parbolized Navier-Stokes equations. Stability and errors of solutions are discussed. Choice and update of POD basic are instructed by means of error estimates. Numerical experiments are presented to illustrate validity and feasibility of the model for parbolized Navier-Stokes equations.