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

WANG Jincheng; QI Jin; WU Chuijie

doi:10.21656/1000-0887.400276

Volume 41 Issue 8

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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

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

doi: 10.21656/1000-0887.400276

¹School of Aeronautics and Astronautics, Dalian University of Technology,Dalian, Liaoning 116024, P.R.China;²Institute of Physics and Computational Mathematics,Beijing 100088, P.R.China

Funds: The National Natural Science Foundation of China(11601033; 11372068);The National Basic Research Program of China (973 Program)(2014CB744104)

Received Date: 2019-09-06
Rev Recd Date: 2020-03-04
Publish Date: 2020-08-01

Abstract

Abstract

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.
- pressure base function,
- optimal dynamical system,
- flow around multiple square columns,
- chaos

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References(13)

References

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