computational fluid dynamics ( and visualization thereof ) john t. bell cs 526 at uic 12 february...
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Computational Fluid Dynamics( And Visualization Thereof )
John T. Bell
CS 526 at UIC
12 February 2004
What is CFD, and Who Cares ?• Simply put, CFD is the calculation of properties
of a flowing fluid.• Practical problems may include energy flow,
chemical reactions, phase changes, …• Domain is often ( irregular ) 3D, plus time.• Results may be scalar, but more often are n-D• Relevant industries include automotive,
chemical processing, aerospace, HVAC, . . .
Automotive Aerodynamics . . .
. . . And Interior Comfort . . .
. . . And Engine Conditions
Process Engineering
Aeronautics
NASA Ames’ Virtual Windtunnel
HVAC
VTK Examples
So How is CFD Calculated ?
Classic Differential Equations
• Navier-Stokes:
• Continuity:
• Cons. Energy:
21 1u u u P u Ft
( ) 0v n dA dVt
( )sWWQ P
e v n dA e dVdt dt dt t
Fourth Order Runge-Kutta
1
12
23
4 3
531 2 41
( , )
( , )2 2
( , )2 2
( , )
( )6 3 3 6
n n
n n
n n
n n
n n
k hf x y
h kk hf x y
h kk hf x y
k hf x h y k
kk k ky y O h
Conclusions
• Computational Fluid Dynamics is an important tool in many branches of science and engineering.
• Results are typically n-D, over 3-D plus time.
• CFD calculations require simultaneous solution of many sets of differential equations, typically involving 4th order Runge-Kutta in 3-D space.
• Visualization of CFD data is an important and challenging problem, requiring clever use of all available visualization tools and skills.
References• Fluent Inc.: Http://www.fluent.com• Schulz, Martin et. al.: “Interactive Visualization of Fluid
Dynamics Simulations in Locally Refined Cartesian Grids”. IEEE, 1999.
• NASA: http://www.nas.nasa.gov/Research/Tasks/ applications.html and http://www.nas.nasa.gov/Research/ Reports/ Techreports/1992/HTML/RNR-92-013.html
• Schroeder et. al.: “The Visualization Toolkit, 3rd Ed.”• SDSC: http://www.sdsc.edu/Publications/GCequations/• Welty, Wicks, & Wilson, “Fundamentals of Momentum, Heat,
and Mass Transfer, 2nd Ed.”, Wiley, 1976.• Press, William et. al.: “Numerical Recipes in C”.