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.
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Swept Wings • Lifting line theory is no longer valid • Weissinger method – vortex lattice method with one chordwise panel: 14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
- Fluid Dynamics, Computational fluid dynamics, Discretization Methods