Application of the Poor Man's Navier-Stokes Equations to Real-Time Control of Fluid Flow

Figure 4

Time series response of the PMNS equations. Control force 𝑎_CF is changed half way through 2×10⁴ iterations with 𝛽=3.3, 𝛾=−0.05, and 𝑎_CF=0.17. Control of broadband w/o fund. freq. to (a) quasiperiodicity, (b) phase lock, (c) subharmonic, (d) periodic, and (e) steady, by setting 𝑎_CF equal to 0.035, 0.098, 0.06, 0.00, and −0.2, respectively.