Figure 1. Initial vortex.
In this case, a vortex is convected in inviscid flow. A vortex with strength &Gamma = 5.0 is centered on a uniform grid and allowed to convect downstream in Mach 0.5 flow with a non-dimensional time step of 0.1. The vortex is described by &omega = [&Gamma(2-R)/2&pi][exp(0.5(1-R)], where R = (x-x0)2 + (y-y0)2, and x0 and y0 describe the vortex center. The grid is given periodic boundary conditions in the flow direction, which is from left to right. The vortex should complete one flow cycle on the grid every 200 time steps. The initial vortex is shown in Figure 1 and the freestream conditions are given in Table 1.
| Mach | Pressure (psia) | Temperature (R) | Angle-of-Attack (deg) | Angle-of-Sideslip (deg) |
|---|---|---|---|---|
| 0.5 | 0.789965 | 500.0 | 0.0 | 0.0 |
The flow domain is square with sides of length 10 feet, as shown in Figure 1.
The vorticity profile, vortex minimum pressure and density and the vortex location can be monitored as a function of time. By comparing the results using different time schemes, spacial schemes, smoothing, etc., the sensitivity of the solution to these various Wind-US features can be examined.
| Study | Category | Person | Comments |
|---|---|---|---|
| Study #1 | verification | Chris Nelson, Julie Dudek | 1st and 2nd order time, Global Newton |
Questions or comments about this case can be emailed to Julianne Dudek.