WANG Jincheng, QI Jin, WU Chuijie. Modelling and Analysis of Optimal Dynamical Systems of Incompressible Navier-Stokes Equations With Pressure Base Functions[J]. Applied Mathematics and Mechanics, 2020, 41(8): 817-833. doi: 10.21656/1000-0887.400276
 Citation: WANG Jincheng, QI Jin, WU Chuijie. Modelling and Analysis of Optimal Dynamical Systems of Incompressible Navier-Stokes Equations With Pressure Base Functions[J]. Applied Mathematics and Mechanics, 2020, 41(8): 817-833.

# Modelling and Analysis of Optimal Dynamical Systems of Incompressible Navier-Stokes Equations With Pressure Base Functions

##### doi: 10.21656/1000-0887.400276
Funds:  The National Natural Science Foundation of China(11601033; 11372068);The National Basic Research Program of China (973 Program)(2014CB744104)
• Rev Recd Date: 2020-03-04
• Publish Date: 2020-08-01
• The modelling theory for optimal truncated low-dimensional dynamical systems of Navier-Stokes equations with pressure base functions and velocity base functions was studied. In the viscous incompressible fluid, the flow field around 3 square columns was simulated. According to that flow problem, the optimal dynamical systems of the Navier-Stokes equations with pressure base functions and velocity base functions were modelled and studied. The results show that, the dynamics behavior of the optimal dynamical systems around the 3 square columns is chaos, which is essentially different from the limit cycle dynamics behavior of the flow field around 2 square columns, so the complexity of the wake increases in the multi-column flow, which thereby means promotion of fluid mixing.
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