A free element scheme for simulating two‐ and three‐dimensional incompressible fluid flow

2020 ◽  
Author(s):  
Hua‐Yu Liu ◽  
Xiao‐Wei Gao ◽  
Bing‐Bing Xu
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Three Dimensional ◽  
Incompressible Fluid Flow ◽  
Element Scheme ◽  
Free Element

INCOMPRESSIBLE FLUIDS

2005 ◽  
Vol 20 (27) ◽  
pp. 6122-6132 ◽  
Author(s):  
S. G. RAJEEV
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Quantum Groups ◽  
Three Dimensional ◽  
Incompressible Fluids ◽  
Two Dimensional ◽  
Incompressible Fluid Flow ◽  
Fluid System ◽  
Random Forces ◽  
Turbulent Incompressible Fluid

We propose a model for random forces in a turbulent incompressible fluid by balancing the energy gain from fluctuations against dissipation by viscosity. This leads to a more singular covariance distribution for the random forces than is ordinarily allowed. We then propose regularization of the fluid system by matrix models. A formula for entropy of a two dimensional fluid is derived and then a vorticity profile of a hurricane that maximizes entropy. A regularization of three dimensional incompressible fluid flow using quantum groups is also proposed.

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