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

Figure 5

Time series response (𝑥-direction) of the PMNS equations with 𝑦-direction control force 𝑏_CF is changed half way through 2×10⁴ iterations with 𝛽=2.552, 𝛾=−0.05, and 𝑏_CF=0.5872. Control of broadband w/o fund. freq. to (a) quasiperiodicity, (b) phase lock, (c) subharmonic, (d) periodic, and (e) steady, by setting 𝑏_CF equal to 0.03888, 0.548, 0.38, 0.25, and 0.12, respectively.