Computational Aerodynamics

2
What is computational fluid dynamics?

3
Domain for bottle filling
problem.
Filling
Nozzle
Bottle
CFD - how it works
•
Analysis begins with a mathematical
model of a physical problem.
•
Conservation of matter, momentum,
and energy must be satisfied
throughout the region of interest.
•
Fluid properties are modeled
empirically.
•
Simplifying assumptions are made in
order to make the problem tractable
(e.g., steady-state, incompressible,
inviscid, two-dimensional).
•
Provide appropriate initial and
boundary conditions for the problem.

4


Computational Aerodynamics for Aircraft Design
Antony Jameson



Analogy between computational and
experimental aerodynamics
9

10
Thin Airfoil Theory

2D Panel Methods
11
Xfoil and XFLR%

Vortex Lattice Method
12

Vortex Lattice Method
13
•
Meet the flow tangency condition at N control
points
•
Solve for N values of the vortex strengths
•
Can include camber by
1.
Placing panels on the camber line
2.
Use a planar lifting surface,
but adjust the angle of the
freestream relative to each
panel to account for camber
•
Cannot account for thickness

Swept Wings
•
Lifting line theory is no longer valid
•
Weissinger method – vortex lattice method
with one chordwise panel:
14

3-D Panel Method – Smith-Hess Method
15



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- Spring '09
- COLLICOTT
- Fluid Dynamics, Computational fluid dynamics, Discretization Methods