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Computational Fluid Dynamics ( And Visualization Thereof ) John T. Bell CS 526 at UIC 12 February 2004

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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,...

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Automotive Aerodynamics...

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... And Interior Comfort...

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... And Engine Conditions

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Process Engineering

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Aeronautics

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NASA Ames’ Virtual Windtunnel

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HVAC

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VTK Examples

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So How is CFD Calculated ?

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Classic Differential Equations Navier-Stokes: Continuity: Cons. Energy:

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Fourth Order Runge-Kutta

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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.

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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”.

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