Well-posedness and a numerical study of a regularization model with adaptive nonlinear filtering for incompressible fluid flow

作者：Cao, Yanzhao^*; Chen, Song; Rebholz, Leo G.

来源：Computers & Mathematics with Applications, 2016, 71(11): 2192-2205.

DOI：10.1016/j.camwa.2015.12.012

• Navier-Stokes Equations
• Nonlinear filtering
• Finite element

We give a detailed analytical study of a Leray model of incompressible flow that uses nonlinear filtering based on indicator functions. The indicator functions allow for local regularization, instead of global regularization which can over-smooth and dampen out important flow structures. The key to the analysis is the identification of the indicator function as a Nemyskii operator. After proving well-posedness, we provide a numerical study which includes proving optimal convergence of finite element method for the model, as well as several numerical experiments.

• 出版日期2016-6
• 单位吉林大学