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现有流动的POD低阶模型大都是对N-S方程建立的,由于在建立过程中推导较复杂且研究发现,涡量 流函数低阶模型重构流场所需的基函数个数少于N-S低阶模型所需的个数,因此本文研究基于涡量 流函数方程的POD模型.本文将此模型应用于顶盖驱动流验证该模型的计算精度.数值计算表明:当采用较少个数的基函数时,基于涡量流函数的POD低阶模型较基于N-S方程的POD低阶模拟计算精度更高;保证计算精度相同时,基于涡量流函数的POD低阶模型所需基函数个数更少;且该模型与有限容积法计算结果吻合良好.“,”At present,the reduced order models for flow are established based on Navier-Stokes equations.Since there are a lot of difficulties during the establishment procedure and the number of the needed basis functions is more than the model based on vorticity-stream function equations.In this paper,we establish the reduced order model base on the vorticity-stream function equations and apply it on a certain driven flow to test the accuracy.It is shown by calculation that:There is a higher accuracy of the model based on vorticity-stream function equations than the one based on Navier-Stokes equations when applied the same number of the basis functions.Furthermore,the model can achieve a fine accuracy but need less basis functions compared to the model based on Navier-Stokes equations.