A fast tensor-product solver for incompressible fluid flow in partially deformed three-dimensional domains: Parallel implementation

2011 ◽  
Vol 52 ◽  
pp. 22-32 ◽  
Author(s):  
Arne Morten Kvarving ◽  
Einar M. Rønquist
Keyword(s):  
Fluid Flow ◽  
Tensor Product ◽  
Incompressible Fluid ◽  
Parallel Implementation ◽  
Three Dimensional ◽  
Incompressible Fluid Flow

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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