Title:

Low Dimensional Models of Steady State Solutions in Plane Couette Flow

Fluid dynamics is a complex and chaotic field of research due to turbulence. In order to understand this topic further, we reduced the number of parameters from hundreds of thousands to hundreds. This is done through ordinary differential equation (ODE) models that can act as proxies, generating semi-accurate models that are faster to compute. This furthers the understanding of the underlying principles of turbulence without a full resolution simulation. Models of Plane Couette flow were used because this flow has turbulence at unusually low Reynold’s numbers, and its symmetries can be leveraged to lower the dimensionality of the ODEs. The results demonstrate the validity of our research; the higher the dimensionality of the ordinary differential equation models, the closer it came to the results of the Direct Numerical Simulation. Now that these ODE models are shown to be accurate–especially as you increase the amount of dimensions–they can be used to investigate more complex scenarios involving turbulence.

Name

Comment*

Comments are viewable only by submitter

Captcha*