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university of florida thesis or dissertation formatting template

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(CFD) analyses in <strong>or</strong>der to capture the nonlinearities in the LCO mechanism not captured by<br />

traditional flutter analysis.<br />

F<strong>or</strong> this <strong>dissertation</strong>, an 8Hz mode is chosen, as this is representative <strong>of</strong> a typical straight-<br />

and-level LCO mechanism. Additionally, based on actual flight test accelerometer data, ±0.5° <strong>of</strong><br />

displacement is chosen as a reasonable wingtip displacement.<br />

Grids and Boundary Conditions<br />

The grids used f<strong>or</strong> this research consist <strong>of</strong> viscous, full-scale models <strong>of</strong> the F-16. Half-span<br />

grids are required f<strong>or</strong> the pitch cases, full-span f<strong>or</strong> the roll cases, and different grids are required<br />

f<strong>or</strong> each configuration change. The boundary conditions are symmetry (half-span only), adiabatic<br />

solid wall f<strong>or</strong> the surface <strong>of</strong> the aircraft and the engine duct, and modified Riemann invariants f<strong>or</strong><br />

the far-field boundaries. The exact Riemann solver is replaced with an inviscid flux function that<br />

alleviates the inherent sh<strong>or</strong>tcomings <strong>of</strong> Riemann methods, namely the “slowly-moving shock”<br />

and “carbuncle” problems, while retaining their inherent advantages, most notably the exact<br />

capture <strong>of</strong> stationary contact surfaces. 106<br />

Far-field boundary conditions should be applied at outer boundaries. The outer boundaries<br />

need to be far enough away so they do not influence the area <strong>of</strong> interest <strong>of</strong> the simulation.<br />

Typically, the boundaries should be six to eight characteristic body lengths away from the<br />

configuration <strong>of</strong> interest. Far-field boundary condition types are used f<strong>or</strong> regions <strong>of</strong> inflow and<br />

outflow.<br />

Solid wall boundary conditions should be applied where there is no flow through<br />

boundaries. There are two broad categ<strong>or</strong>ies <strong>of</strong> solid walls: slip and no-slip. A slip wall enf<strong>or</strong>ces<br />

the tangency condition, and a no-slip wall enf<strong>or</strong>ces no relative velocity at the surface. The<br />

adiabatic no-slip method applies a zero relative velocity at the boundary. Pressure and density<br />

49

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