Characteristics of flow in the wake region of a bluff vertical cylinder in the presence of waves,currents and combined wave current flows 4

Velocity vector plots at every 2Te increment at steady state beating.. Velocity vector plots at every 2Te increment at steady state beating.. Velocity vector plots at every Te increment

344

Time Series of CFD Calculated Wave Elevations

Figure F1: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 50 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0.6D

Figure F2: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 75 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0.6D

Figure F3: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 100 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0.6D

Figure F4: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for waves only, downstream cylinder placed at x = 1 ½ D, y=0.6D

Figure F5: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 50 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0

Figure F6: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 75 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0

Figure F7: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 100 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0

Figure F8: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for waves only, downstream cylinder placed at x = 1 ½ D, y=0

Figure F9: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 50 mm/s, Single Cylinder Run

Figure F10: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 75 mm/s, Single Cylinder Run

Figure F11: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 100 mm/s, Single Cylinder Run

Figure F12: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for waves only, Single Cylinder Run

Downstream Cylinder Position: 1 ½ D Downstream, 100 mm lateral offset

Figure F1: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 50 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0.6D

346

Currents C = 75 mm/s

Waves T = 0.7 s

Wave Height H = 25 mm

Downstream Cylinder Position: 1 ½ D Downstream, 100 mm lateral offset

Figure F2: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 75 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0.6D

Downstream Cylinder Position: 1 ½ D Downstream, 100 mm lateral offset

Figure F3: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 100 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0.6D

348

Currents C = 0 mm/s

Waves T = 0.7 s

Wave Height H = 25 mm

Downstream Cylinder Position: 1 ½ D Downstream, 100 mm lateral offset

Figure F4: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for waves only, downstream cylinder placed at x = 1 ½ D, y=0.6D

Downstream Cylinder Position: 1 ½ D Downstream, 0 mm lateral offset

Figure F5: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 50 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0

350

Currents C = 75 mm/s

Waves T = 0.7 s

Wave Height H = 25 mm

Downstream Cylinder Position: 1 ½ D Downstream, 0 mm lateral offset

Figure F6: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 75 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0

Downstream Cylinder Position: 1 ½ D Downstream, 0 mm lateral offset

Figure F7: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 100 mm/s, downstream cylinder placed at x

= 1 ½ D, y=0

352

Currents C = 0 mm/s

Waves T = 0.7 s

Wave Height H = 25 mm

Downstream Cylinder Position: 1 ½ D Downstream, 0 mm lateral offset

Figure F8: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for waves only, downstream cylinder placed at x = 1 ½ D, y=0

Single Cylinder Run

Figure F9: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 50 mm/s, Single Cylinder Run

354

Currents C = 75 mm/s

Waves T = 0.7 s

Wave Height H = 25 mm

Single Cylinder Run

Figure F10: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 75 mm/s, Single Cylinder Run

Single Cylinder Run

Figure F11: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for combined waves and currents, C = 100 mm/s, Single Cylinder Run

356

Currents C = 0 mm/s

Waves T = 0.7 s

Wave Height H = 25 mm

Single Cylinder Run

Figure F12: Wave height monitors in the wave tank at (a) x=-0.84 m, (b) x=+0.84 m, (c) x=+9.24

m for waves only, Single Cylinder Run

357

Appendix G

CFD Calculated Velocity Vector and Vorticity Plots

Figure G1 Velocity vector plots at every 2Te increment at steady state beating C = 50 mm/s, T = 0.7 s

run Downstream cylinder placed at x = 1 ½ D, y = 0.6 D

Figure G2 Vorticity plots at every 2Te increment at steady state beating C = 50 mm/s, T = 0.7 s run

Downstream cylinder placed at x = 1 ½ D, y = 0.6 D

Figure G3 Velocity vector plots at every 2Te increment at steady state beating C = 75 mm/s, T = 0.7 s

run Downstream cylinder placed at x = 1 ½ D, y = 0.6 D

Figure G4 Vorticity plots at every 2Te increment at steady state beating C = 75 mm/s, T = 0.7 s run

Downstream cylinder placed at x = 1 ½ D, y = 0.6 D

Figure G5 Velocity vector plots at every Te increment at steady state beating C = 100 mm/s, T = 0.7 s

run Downstream cylinder placed at x = 1 ½ D, y = 0.6 D

Figure G6 Vorticity vector plots at every Te increment at steady state beating C = 100 mm/s, T = 0.7 s

run Downstream cylinder placed at x = 1 ½ D, y = 0.6 D

Figure G7 Velocity vector plots at every 2T increment at steady state beating Wave only, T = 0.7 s run

Downstream cylinder placed at x = 1 ½ D, y = 0.6 D

Figure G8 Vorticity plots at every 2T increment at steady state beating Wave only, T = 0.7 s run

Downstream cylinder placed at x = 1 ½ D, y = 0.6 D

Figure G9 Velocity vector plots at every 2Te increment at steady state beating C = 50 mm/s, T = 0.7 s

run Downstream cylinder placed at x = 1 ½ D, y = 0

Figure G10 Vorticity plots at every 2Te increment at steady state beating C = 50 mm/s, T = 0.7 s run

Downstream cylinder placed at x = 1 ½ D, y = 0

Figure G11 Velocity vector plots at every 2Te increment at steady state beating C = 75 mm/s, T = 0.7 s

run Downstream cylinder placed at x = 1 ½ D, y = 0

Figure G12 Vorticity plots at every 2Te increment at steady state beating C = 75 mm/s, T = 0.7 s run

Downstream cylinder placed at x = 1 ½ D, y = 0

Figure G13 Velocity vector plots at every Te increment at steady state beating C = 100 mm/s, T = 0.7 s

run Downstream cylinder placed at x = 1 ½ D, y = 0

Figure G14 Vorticity plots at every Te increment at steady state beating C = 100 mm/s, T = 0.7 s run

Downstream cylinder placed at x = 1 ½ D, y = 0

Figure G15 Velocity vector plots at every Te increment at steady state beating Wave only, T = 0.7 s run

Downstream cylinder placed at x = 1 ½ D, y = 0

Figure G16 Vorticity plots at every Te increment at steady state beating Wave only, T = 0.7 s run

Downstream cylinder placed at x = 1 ½ D, y = 0

Time = 64T + 6T e Time = 64T + 8T e Time = 64T + 10T e

Time = 64T + 12T e Time = 64T + 14T e Time = 64T + 16T e

Time = 64T + 6T e Time = 64T + 8T e Time = 64T + 10T e

Time = 64T + 12T e Time = 64T + 14T e Time = 64T + 16T e

Figure G2

Vorticity plots at every 2T e

increment at steady state

Time = 64T + 6T e Time = 64T + 8T e Time = 64T + 10T e

Time = 64T + 12T e Time = 64T + 14T e Time = 64T + 16T e

Time = 64T + 6T e Time = 64T + 8T e Time = 64T + 10T e

Time = 64T + 12T e Time = 64T + 14T e Time = 64T + 16T e

Figure G4

Vorticity plots at every 2T e

increment at steady state

Time = 52T + 3T e Time = 52T + 4T e Time = 52T + 5T e

Time = 52T + 6T e Time = 52T + 7T e Time = 52T + 8T e

Figure G5

Velocity vector plots at

every T e increment at steady

state beating

C = 100 mm/s, T = 0.7 s run

Downstream cylinder placed

at x = 1 ½ D, y = 0.6D

Time = 52T + 3T e Time = 52T + 4T e Time = 52T + 5T e

Time = 52T + 6T e Time = 52T + 7T e Time = 52T + 8T e

Figure G6

Vorticity vector plots at

every T e increment at steady

state beating

C = 100 mm/s, T = 0.7 s run

Downstream cylinder placed

at x = 1 ½ D, y = 0.6D

Time = 82T + 12T Time = 82T + 14T Time = 82T + 16T

Figure G7

Velocity vector plots at

every 2T increment at

steady state beating

Wave only, T = 0.7 s run

Downstream cylinder placed

at x = 1 ½ D, y = 0.6D

Time = 82T + 12T Time = 82T + 14T Time = 82T + 16T

Figure G8

Vorticity plots at every 2T

increment at steady state

beating

Wave only, T = 0.7 s run

Downstream cylinder placed

at x = 1 ½ D, y = 0.6D

Time = 53T + 6T e Time = 53T + 8T e Time = 53T + 10T e

Time = 53T + 12T e Time = 53T + 14T e Time = 53T + 16T e

Time = 53T + 6T e Time = 53T + 8T e Time = 53T + 10T e

Time = 53T + 12T e Time = 53T + 14T e Time = 53T + 16T e

Figure G10

Vorticity plots at every 2T e

increment at steady state

beating

C = 50 mm/s, T = 0.7 s run

Downstream cylinder placed

at x = 1 ½ D, y = 0

Time = 113T Time = 113T + 2T e Time = 113T + 4T e

Time = 113T + 6T e Time = 113T + 8T e Time = 113T + 10T e

Time = 113T + 12T e Time = 113T + 14T e Time = 113T + 16T e

Time = 113T Time = 113T + 2T e Time = 113T + 4T e

Time = 113T + 6T e Time = 113T + 8T e Time = 113T + 10T e

Time = 113T + 12T e Time = 113T + 14T e Time = 113T + 16T e

Figure G12

Vorticity plots at every 2T e

increment at steady state

beating

C = 75 mm/s, T = 0.7 s run

Downstream cylinder placed

at x = 1 ½ D, y = 0

Time = 77T + 3T e Time = 77T + 4T e Time = 77T + 5T e

Time = 77T + 6T e Time = 77T + 7T e Time = 77T + 8T e

Figure G13

Velocity vector plots at

every T e increment at steady

state beating

C = 100 mm/s, T = 0.7 s run

Downstream cylinder placed

at x = 1 ½ D, y = 0

Time = 77T + 3T e Time = 77T + 4T e Time = 77T + 5T e

Time = 77T + 6T e Time = 77T + 7T e Time = 77T + 8T e

Figure G14

Vorticity plots at every T e

increment at steady state

beating

C = 100 mm/s, T = 0.7 s run

Downstream cylinder placed

at x = 1 ½ D, y = 0

Figure G15

Velocity vector plots at

every T increment at steady

state beating

Wave only, T = 0.7 s run

Downstream cylinder placed

at x = 1 ½ D, y = 0

Figure G16

Vorticity plots at every T

increment at steady state

beating

Wave only, T = 0.7 s run

Downstream cylinder placed

at x = 1 ½ D, y = 0

374

Iso Surface Plots of Numerical Wave Tank

Figure H1 Iso surface plots of wave and currents run, C= 50 mm/s, T=0.7s, at time intervals of T’

(First 24T’ s of run Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

Figure H2 Iso surface plots of wave and currents run, C= 75 mm/s, T=0.7s, at time intervals of T’

(First 24T’ s of run Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

Figure H3 Iso surface plots of wave and currents run, C=100mm/s, T=0.7s, at time intervals of T’

(First 24T’ s of run Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

Figure H4 Iso surface plots of wave only run, T = 0.7s, at time intervals of T

(First 24T’ s of run Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

Figure H5 Iso surface plots of wave and currents run, C =50mm/s, T =0.7s, at time intervals of T’

(At Stable Beating Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

Figure H6 Iso surface plots of wave and currents run, C =75mm/s, T =0.7s, at time intervals of T’

(At Stable Beating Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

Figure H7 Iso surface plots of wave and currents run, C=100mm/s, T=0.7s, at time intervals of T’

(At Stable Beating Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

Figure H8 Iso surface plots of wave only run, T = 0.7s, at time intervals of T

(At Steady State Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

Figure H9 Iso surface plots of wave and currents run, C =50mm/s, T=0.7s, at time intervals of T’

(At Stable Beating Downstream cylinder spacing at x = 1 ½ D, y = 0)

Figure H10 Iso surface plots of wave and currents run, C =75mm/s, T =0.7s, at time intervals of T’

(At Stable Beating Downstream cylinder spacing at x = 1 ½ D, y = 0)

Figure H11 Iso surface plots of wave and currents run, C=100mm/s, T=0.7s, at time intervals of T’

(At Stable Beating Downstream cylinder spacing at x = 1 ½ D, y = 0)

Figure H12 Iso surface plots of wave only run, T = 0.7s, at time intervals of T’

(At Steady State Downstream cylinder spacing at x = 1 ½ D, y = 0)

376

Figure H1 Iso surface plots of wave and currents run, C = 50 mm/s, T = 0.7s, at time intervals of T’

(First 24T’ s of run Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

378

Figure H2 Iso surface plots of wave and currents run, C = 75 mm/s, T = 0.7s, at time intervals of T’

(First 24T’ s of run Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

380

Figure H3 Iso surface plots of wave and currents run, C = 100 mm/s, T = 0.7s, at time intervals of T’

(First 24T’ s of run Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

382

Figure H4 Iso surface plots of wave only run, T = 0.7s, at time intervals of T

(First 24T’ s of run Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

384

Figure H5 Iso surface plots of wave and currents run, C = 50 mm/s, T = 0.7s, at time intervals of T’

(At Stable Beating Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

386

Figure H6 Iso surface plots of wave and currents run, C = 75 mm/s, T = 0.7s, at time intervals of T’

(At Stable Beating Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

388

Figure H7 Iso surface plots of wave and currents run, C = 100 mm/s, T = 0.7s, at time intervals of T’

(At Stable Beating Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

t = 74T’

t = 75T’

t = 76T’

t = 77T’

390

Figure H8 Iso surface plots of wave only run, T = 0.7s, at time intervals of T

(At Steady State Downstream cylinder spacing at x = 1 ½ D, y = 0.6 D)

t = 74T’

t = 75T’

t = 76T’

t = 77T’