Smagorinsky模型的变分多尺度有限元方法

Study on the Finite Element Methods with Variational Multiscale for Smagorinsky Model

主要研究求解Smagorinsky模型的变分多尺度有限元方法.从理论上给出了有限元逼近解与真解之间的误差估计,并给出了大雷诺数Re=10 000时的数值算例,算例结果验证了所给方法的有效性.

This paper probes chiefly into the variational multiscale finite element method for Smagorinsky model.The finite element error estimations between the finite element approximation solution and the genuine solution are obtained from the theory,and an example of Re = 10 000 is given.Moreover,the results of numerical analysis show that this method is more effective to get the theoretical results.