Numerical method for almost three-dimensional incompressible fluid flow and a simple internal obstacle treatment

1971 ◽  
Vol 8 (2) ◽  
pp. 230-240 ◽  
Author(s):  
P.I Nakayama ◽  
N.C Romero
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Numerical Method ◽  
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.

Accurate Numerical Prediction of Incompressible Fluid Flow in Lid-Driven Cavities

2011 ◽  
Vol 110-116 ◽  
pp. 4365-4372
Author(s):  
Abdul Munir Fudhail ◽  
Mohd Rody Mohamad Zin ◽  
Nor C. Sidik Azwadi ◽  
Mohd Azli Salim
Keyword(s):  
Reynolds Number ◽  
Fluid Flow ◽  
Aspect Ratio ◽  
Incompressible Fluid ◽  
Numerical Method ◽  
Stream Function ◽  
Numerical Experiments ◽  
Flow Behavior ◽  
Incompressible Fluid Flow ◽  
Primary Vortex

In this paper, we report an efficient numerical method to predict fluid flow behavior in a square and deep lid-driven cavities. The conventional continuity and momentum equations are transformed into stream-function and vorticity formulation to reduce the number of unknown spatial quantities. Numerical experiments were performed with different values of aspect ratio and Reynolds number to investigate the effect of these dimensionless parameters on the fluid flow behavior in the cavity. In the current study, we found that the dynamics and the structure of primary vortex are significantly affected by the Reynolds number and the aspect ratio of the cavity.

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