Index

Note: Page numbers followed by f indicate figures, and t indicate tables.

A

Acoustic current meter  162
Acoustic Doppler current profiler (ADCP) 
hull-mounted  170 , 172f
modes of operation  165–167
mooring  167–170 , 171f
Acoustic Doppler velocimeter (ADV)  163–165
Acoustic Waves and Currents (AWAC)  180
Actuator disc theory  73 , 290
ADCIRC  204–205 , 207f
Agulhas Current  143 , 144f
Albedo  8
Alternating current (AC)  12–14
Amphidrome  57–58
Amphidromic points  51
Annual Energy Yield (AEY)  135
Arrays  73
Attenuator  125

B

Backward difference  202
Barrages 
La Rance tidal power station  76–77 , 78f
tidal range  76–81
Bathymetry data  197
Bernoulli’s equation  44 , 44f , 79
Betz limit  76 , 77f , 248
horizontal axis wind turbines  89–90 , 89f
Bias  216–217
Block Island Wind Farm 
capacity factor  101–104 , 102t
energy production distribution  101–104 , 104f
histogram of hourly wind speed  99–100 , 100f
power output  101–104
probability density function  100–101
time series of hourly wind speed data  99 , 99f
Wave Information Studies  97–98 , 98f
Weibull distribution  100–101
Blue Kenue  218–219
Boston, tidal elevation time series  61–62 , 62f
Boundary condition data  197 , 198f

C

Capacity factor  28–29 , 28f , 29t
Carbon dioxide (CO28 , 9f
Carbon Dioxide Information Analysis Center (CDIAC)  9
Carnot heat engine  149–150
Cauchy’s first law of motion  35
Central difference  203
Centrifugal force  47–48 , 49f
Chapman boundary condition  212
Clamped elevation  212
Clamped normal velocity  212
Climate change 
albedo  8
CO2 emissions  8 , 9f , 10f
fossil fuel reserves  11–12 , 13f
global warming  8
greenhouse gases  8
Milankovitch cycles  7
radiation balance  7
solar radiation  7
Closed cycle OTEC  146–148 , 148f
Closure problem  210–211
Coal, global energy mix  4–6 , 6f
Coastline data  196–197
CO2 emissions  8 , 10f
Compound tides  60–62 , 61f , 62f
Computational fluid dynamics (CFD)  220–221
Conductivity, temperature, and depth (CTD)  185–187 , 186f
Constraints  245
Control variables  238
Control volume 
horizontal axis turbine  74
in space  33–34 , 34f
Conventional fossil fuel-based energy  276
Coriolis  50 , 57–58
centrifugal acceleration  55–56 , 55f
centripetal acceleration  55–57
rotating frame, equations of motion in  56–57
unit vectors  56
Correlation coefficient  216
Cotidal chart  51
interarray optimization  255 , 256f
of northwest European shelf seas  51 , 52f
Counter-rotating eddy systems  304–305
Courant-Friedrichs-Lewy (CFL) condition  198–200

D

Damping force  129
Decision variables  244
Device spacing  254
Diffraction, wave energy  124–125 , 125f
Direct current (DC)  12–14
Dirichlet boundary conditions  211
Discretization  201–202
Dispersion equation 
nonlinear  120
wave energy  111–112 , 112f
Diurnal tides, form factor  61–62 , 63f , 63t
Doppler shift  113 , 163–164
Drag coefficient  213–214 , 288
Dynamic viscosity  37

E

Earth-Moon system 
centrifugal force  47–48 , 49f
equilibrium tidal model  48–50
Newton’s law of universal gravitation  47–48 , 48f
tide generating forces  47–49
Ebb-generation, tidal lagoon  77–78 , 78f , 79 , 79f
Edison Electric Light Station  12–14
Einstein convention  32–33
Electrical grid systems 
dispatchable  15–16
grid storage  18 , 19f
inertia  16–17
interconnectors  18
levelized cost of energy  18–20
predictable  15
reliable  15
supply vs. demand  16 , 17f
EMODnet  189–190
Energy 
consumption  1–4
definition  25–26
orders of magnitude  27t
unit  26
Equilibrium tidal model  48–50
Euler equations  36–37
Eulerian context  171–172
Exner equation  296–300
Exponential wave growth  213–214

F

Finite difference method  202–204
Finite element method (FEM)  204–207
Finite volume method (FVM)  207–209
Flash evaporator  148
Flather  212
Florida Current  143 , 144t
Force  26
Form factor, tides  61–62 , 63f , 63t
Forward difference  202
Fossil fuel reserves  11–12 , 13f
Friction coefficients  288

G

Gauss’s theorem  33–35
GEBCO  183 , 189–190
Geostrophic wind  92–93
Global Drifter Programme  173
Global energy mix 
coal consumption  4–6 , 6f
Earth’s city lights  4 , 5f
electricity consumption  1–4 , 2f , 3t , 4f
electricity production  1–4 , 2f
Human Development Index  1–4
hydroelectricity  6–7 , 7f
solar energy  6–7 , 7f
wind energy  6–7 , 7f
world electricity generation by fuel  4–6 , 5f
Global Self-consistent, Hierarchical, High-resolution Geography Database (GSHHG)  196–197 , 196f
Global warming  8 , 271 , 276–277
Gorlov Helical Turbine  70
Greenhouse gases (GHGs)  8
Gulf Stream  142 , 142f

H

Heaving point absorber 
damping force  133–134
hydrostatic force  134
inertia force  134
linear wave theory  133–134
Hendry Review  23–25
HF radar system  182
High water (HW)  50–53 , 260
Holyhead 
high water  51
tidal data for  59–60 , 59f , 59t
Horizontal axis turbines  69–70 , 70f
Betz limit  76 , 77f
hydrodynamics of  73–76
power coefficient  76 , 77f
Horizontal axis wind turbines 
aerodynamics 
Betz limit  89–90 , 89f
power coefficient  91 , 91f
power curve  90–91 , 90f , 91f
anemometer  87
blades  87
in Block Island Wind Farm  86f , 87–88
brake  88
components  87–88
controller  88
gear box  88
generator  88
high-speed shaft  88
low-speed shaft  88
nacelle  88
pitch system  88
rotor  88
schematic of  87–88 , 87f
substructure designs  85–87 , 86f
tower  88
wind direction  88
yaw drive  88
yaw motor  88
Hull-mounted ADCP  170 , 172f
Human Development Index (HDI)  1–4
Hybrid Optimization Model for Electric Renewables (HOMER) 
optimization  265
PJM system  265 , 266f
simulation  264
Hydrodynamic theory 
Einstein convention  32–33
indicial notation  32–33
Navier–Stokes equations 
Euler equations  36–37
fluid viscosity  37
Leibnitz’s rule  38–43
shallow water equations  37–43 , 38f
turbulent flows  37
in 1D steady case  43–45 , 44f
Reynolds transport theorem  33–34 , 34f
3D velocity vector  31–32
vector notation  31–32
Hydrostatic equation law  40

I

Ice-albedo feedback  8
Independent variables  238
Inequality constraint  240
Interarray optimization 
combined tidal range-tidal stream phasing  260
M2 cotidal chart  255 , 256f
tidal range phasing  257–259
tidal stream phasing  255–257 , 258f
Interconnectors  18
Intergovernmental Panel on Climate Change Fourth Assessment Report (IPCC AR4)  277–279 , 278f , 283
International Energy Agency  18–19
International Renewable Energy Agency (IRENA)  146
Intraarray optimization 
micro-siting 
constraints  245
decision variables  244
objective functions  244–245
solution techniques  245
wake effect  243–244
tidal energy converters 
interdevice spacing  245–248
turbine blockage  248–250
wave energy converter 
device spacing  254
Park effect  250–252
size of devices  254
time-averaged power output  252 , 253f
total power output and variance  254f
variance and mean power  251f , 252

J

Joule  26

K

Kelvin waves  57–58 , 58f
Kuroshio Current  142

L

Lagoons  304–305
ebb generation  79f
tidal range  76–81 , 78f
Lagrangian drifters  171–173
Lagrangian framework  171–172
Laminar flow, shear stress  37
Langdon sand bank  301–304
Laplace operator  33
La Rance tidal barrage  76–77 , 78f
Leibnitz’s rule  38–43
Levelized cost of energy (LCOE)  18–20 , 21t
Linear dispersion equation  120
Linear wave theory 
assumptions  109
Euler equations  109
irrotational flow  109–110
Laplace equation  109–110
potential flow  109
potential function  109–111
sinusoidal progressive wave  110–111
vorticity  109
wave properties  111 , 111t
Local optimum  240–241
Lowest astronomical tide (LAT)  161 , 197
Low water (LW)  50 , 63t

M

Macro-siting  242–243
Magnetic flow meters  162
Manning coefficient  64–65
Manning’s equation  42
Marine spatial planning  105 , 242–243
maps/data  105–106
permitting  294
Mass balance equation  33
Mass-spring-damper equation  128–129
Matlab  217–218
Mean error  See Bias
Mean high water neap (MHWN)  60–61
Mean high water spring (MHWS)  60–61 , 272–274
Mean low water neap (MLWN)  60–61
Mean low water spring (MLWS)  60–61 , 272–274
Micro-siting  243
Milankovitch cycles  7
Minesto Deep Green tidal kite  71 , 73f
Mississippi Sound  61–62 , 62f
Momentum sink approach  290
Multibeam echo sounder  186–187
Multiple ocean renewable energy  272–276

N

Natal Pulses  143
National Renewable Energy Laboratory (NREL)  20
Navier–Stokes equations, hydrodynamic theory 
Euler equations  36–37
fluid viscosity  37
Leibnitz’s rule  38–43
shallow water equations  37–43 , 38f
turbulent flows  37
Neumann boundary conditions  211
Newton’s law of universal gravitation  47 , 48f
Newton’s second law of motion  57–58
Newton’s viscosity law  37
Nodes, standing wave  51 , 53
Nonlinear waves 
linear vs. nonlinear dispersion  120 , 120f
linear wave theory  118 , 119f
Miche’s formula  119–120
wave breaking  118–120
Nonlinear wave-wave interactions  214–215
North Atlantic gyre  142 , 142f
North Atlantic Oscillation (NAO)  135–137 , 137f
Nuclear generation, UK  28–29 , 28f

O

Objective functions  237 , 244–245
Ocean currents 
Agulhas Current  143 , 144f
Aquantis 2.5MW C-Plane device  145
environmental impacts  145–146
Florida Current  143 , 144t
Gulf Stream  142 , 142f
Kuroshio Current  142
Kuroshio power plant  145
Minesto 500kW Deep Green technology  145
Natal Pulses  143
North Atlantic gyre  142 , 142f
technical resource  145
variability  143–145 , 144t
Ocean energy  21–22 , 22f
Ocean Energy Council  141–142
Ocean Energy Europe  23–25
Ocean Energy Forum  23–25
Ocean gyres  142 , 142f
Ocean modelling  193
bathymetry data  197
Blue Kenue  218–219
boundary condition data  197 , 198f
coastline data  196–197
computational fluid dynamics  220–221
discretization  201–202
finite difference method  202–204
finite element method  204–207
finite volume method  207–209
horizontal mesh  194
Matlab  217–218
staggered grids  200–201
supercomputing  219–220
surface fields  197–198 , 199f
tidal resource characterization  209 , 209f
boundary conditions  211–212
Orkney (Scotland)  225–232 , 233f
split time  212
turbulence closure  210–211
time step  198–200 , 200f
vertical coordinate system  195
wave resource characterization 
bias  216–217
correlation coefficient  216
dissipation  214
Galway Bay (Ireland)  221–225
nonlinear wave-wave interactions  214–215
phase-averaged  213
root mean squared error  216
scatter index  216
wind input  213–214
Ocean renewable energy 
long timescale changes  276–277
tidal range  280–283
tidal stream  283–285
wave  279–280
wind  277–279
project development  292–294
sediment dynamics and morphodynamics  294
offshore sand banks  300–304
tidal symmetry  295–300
temporal variability  272–276
tidal energy extraction  289–291
tidal lagoons  304–305
wave resource assessment  291–292
wave tide interaction  285
tidal currents on wave energy  286–288
waves on tidal energy  288–289
Ocean thermal energy conversion (OTEC) 
closed cycle  146–148 , 148f
commercial progress  150 , 151f
environmental impacts  152
open cycle  148
power plants, benefits of  152
thermodynamics  149–150
Odd-even decoupling  200–201
Offshore sand banks  300–304
Offshore wind 
horizontal axis wind turbines 
aerodynamics  88–91 , 89f , 90f , 91f
in Block Island Wind Farm  86f , 87–88
components  87–88
schematic of  87–88 , 87f
substructure designs  85–87 , 86f
marine spatial planning  104–106
micro-siting  242–245
Persian windmills  83–84 , 84f
wind energy at site 
atmospheric boundary layer  92–93 , 93f
Block Island Wind Farm  86f , 97–104 , 98f , 99f , 100f , 102t , 104f
capacity factor  101–104 , 102t
power output  101–104
temporal distribution  94–97 , 95f , 96f
wind power capacity, global trend of  83–84 , 85f
1D cross-shore wave model  291
Open cycle gas turbine (OCGT)  15–16
Open cycle OTEC  148
OpenTidalFarm  266 , 267f
Optimization  237
dynamic optimization problems  238–239
HOMER  264–265
interarray 
combined tidal range and tidal stream phasing  260 , 260f
tidal range phasing  257–259
tidal stream phasing  255–257 , 258f
intraarray 
micro-siting, offshore wind  242–245
tidal energy converters  245–250
wave energy converter  250–254
iterative gradient techniques  241–242
mathematical formulation  239–241
OpenTidalFarm  266 , 267f
wind-wave projects  261–264
Oscillating hydrofoils  70–72 , 72f
Oscillating water column (OWC)  127 , 139
Oscillating wave surge converters (OWSCs)  126 , 126f
Overtides  64–66
Overtopping devices  127

P

Paris Agreement  9–11
Park effect  250–252
Pelamis power matrix  137–139 , 138f
Persian windmills  83–84 , 84f
Phase-averaged wave models  213
Potential flow theory  109–110
Power 
definition  25–26
unit  26–28
PowerBuoy  126 , 127f
Power coefficient  76 , 77f , 90–91 , 91f
Power curve, wind turbines  90–91 , 90f , 91f
Power density, tides  66
Pressure retarded osmosis (PRO)  153–154
Probability density function (PDF), wind speed  94–97 , 95f , 100–101
Progressive waves  50 , 50f

R

Range gating  166
Rayleigh criteria  168–169
Refraction  122
Remote sensing  180–181
HF radar  182
satellites  182–183
X-band radar  181
Resonance  53–54
Resource characterization  293
remote sensing  180–181
HF radar  182
satellites  182–183
X-band radar  181
tide  209 , 209f
boundary conditions  211–212
Orkney (Scotland)  225–232 , 233f
split time  212
turbulence closure  210–211
vessel measurements 
multibeam echo sounder  186–187
point sampling  185–188
RV Prince Madog  184–185
vertical profiling  185
wave 
bias  216–217
correlation coefficient  216
dissipation  214
Galway Bay (Ireland)  221–225
nonlinear wave-wave interactions  214–215
phase-averaged  213
root mean squared error  216
scatter index  216
wind input  213–214
Reversed electro dialysis (RED)  154
Reynolds transport theorem  33–34 , 34f
Root mean squared error (RMSE)  216 , 223

S

Salinity gradients 
global distribution  152 , 153f
pressure retarded osmosis  153–154
reversed electro dialysis  154
technological challenges  154
Satellites, resource characterization  182–183
Scatter index  216
Secchi disk  187
Semidiurnal tides  61–62 , 63f , 63t
Shallow water equations (SWEs) 
atmospheric pressure  40
continuity equation  39
hydrostatic equation law  40
hydrostatic pressure  41
Leibnitz’s rule  38–43
Manning’s equation  42
momentum equation  40–41
shear-stress  41–42
vertical acceleration  40
wind shear stress  42–43
Shear stress 
for laminar flow  37
shallow water equations  41–43
for turbulent flows  37
Sigma coordinate scheme  195 , 195f
Single degree of freedom (SDOF), mass-spring dampe  129 , 130f
Solar radiation  7–8
Spring force  129
Staggered grids  200–201
Standing waves  51–53 , 53f , 54f
Stilling-well  159–161
Streamtube 
Bernoulli’s equation  44 , 44f
control volume  44–45 , 44f
horizontal axis tidal turbine  74 , 75f
of horizontal axis wind turbine  89–90 , 89f
momentum flux  45
Structured grid  194 , 194f
Supercomputing  219–220
Surface fields  197–198
Surface point absorbers  126
Suspended particulate matter (SPM)  167 , 185
SWAN wave model  209 , 215 , 223f , 291–292
Swell waves  107
Synchronization, grid inertia  16–17
Synthetic Aperture Radar (SAR)  183
System volume, in space  33–34

T

Taylor expansion  203–204
Technology readiness level (TRL)  23–25 , 24t
Third-generation wave model  213
Tidal asymmetry 
in estuary  64–65 , 64f
Manning coefficient  64–65
tidal signals  65 , 65f
Tidal currents  271–272
Tidal datums  61f
Tidal diamonds  157 , 158t
Tidal elevation time series 
Boston  61–62 , 62f
Mississippi Sound  61–62 , 62f
Tidal ellipses  67–68 , 68f , 69f
Tidal energy 
barrages  76–81 , 78f
compound tides  60–62 , 61f , 62f
Coriolis  55–57 , 55f
cotidal charts  51 , 52f
Earth-Moon system  47–48 , 48f , 49f
ellipses  67–68 , 69f
extraction  289–291
force  47–50
for Holyhead  59–60 , 59f , 59t
horizontal axis turbines 
Betz limit  76 , 77f
power coefficient  76 , 77f
Kelvin waves  57–58 , 58f
lagoons  76–81 , 78f , 79f
Newton’s law of universal gravitation  47 , 48f
overtides  62–66
power density  66 , 68f
progressive waves  50 , 50f
resonance  53–54
standing waves  51–53 , 53f , 54f
stream devices 
arrays  73
horizontal axis turbines  69–70 , 70f
oscillating hydrofoils  70–72 , 72f
tidal kites  71 , 73f
venturi effect devices  71 , 72f
vertical axis turbines  70 , 71f
tidal asymmetry  62–66 , 64f , 65f
velocity profile  66 , 67f
Tidal energy converters (TEC)  245–250
Tidal Energy Limited DeltaStream device  69–70 , 70f
Tidal kite turbine  71 , 73f
Tidal range  257–259 , 280–283
Tidal resource characterization  209 , 209f
acoustic Doppler current profiler  165–170
acoustic Doppler velocimeter  163–165
boundary conditions  211–212
desk-based studies  157
Lagrangian drifters  171–173 , 174f
magnetic flow meters  162
mechanical flow meter  161 , 162f
Orkney (Scotland)  225–232 , 233f
split time  212
tilt current meters  162–163 , 163f
turbulence closure  210–211
water-level measurements 
pressure  161
radar sensor  161
stilling-well gauges  159–161
tidal poles  159
tide gauge network  158 , 159f
tide table  158 , 160t
Tidal stream  258f , 283–285
Tidal-stream devices 
arrays  73
horizontal axis turbines  69–70 , 70f
oscillating hydrofoils  70–72 , 72f
tidal kites  71 , 73f
venturi effect devices  71 , 72f
vertical axis turbines  70 , 71f
Tidal symmetry  295–300
Tides  286
power density  66
velocity profile  66
Tilt current meters  162–163 , 163f
Truncation error  203–204
T_TIDE  60
Turbulent flows 
Navier–Stokes equations  37
shear stress  37
Turbulent kinetic energy  230–232
2D (spectral) wave models  291

U

United Kingdom 
nuclear generation  28–29 , 28f
UK National Grid  14
Unstructured grid  194 , 194f

V

Velocity profile, tides  66 , 67f , 163
Venturi effect devices  71 , 72f
Vertical acceleration  40
Vertical axis turbines  70 , 71f
Vertical coordinate system  195
Vibration 
damping ratio  132 , 132f
forced  131–132
forcing function  132 , 132f
free  129–131

W

Wake effect  243–244
Wave(s) 
crests  122 , 123f
diffraction  124–125 , 125f
refraction  122–124 , 124f
shoaling  121–122 , 121f , 122t
Snell’s law  122–123
Wave buoys 
directional characteristics  178–179
general principles  175–176 , 177f
spectral characteristics  179–180
temporal characteristics  177–178
WaveNet  175 , 176f
WaveCat device  291–292
Wave energy  279–280
diffraction  124–125 , 125f
dispersion equation  111–112 , 112f
irregular waves  114–118 , 115f
linear wave theory  108–111 , 111t
maintenance  139
monochromatic sinusoidal wave  108 , 108f
nonlinear dispersion equation  120 , 120f
nonlinear waves  118–120
Pelamis power matrix  137–139 , 138f
practical resource  139
survivability  139
technical resource  137–139
theoretical resource  137–139
tidal resource assessment  135–139 , 136f , 137f , 138f
transformation 
refraction  122–124 , 123f , 124f
shoaling  121–122 , 121f , 122t
wave breaking  118–120 , 119f
wave power  112–113
Wave energy converters (WECs)  178–179 , 250–254
attenuator  125
comparison  128 , 128t
forced vibration  131–132 , 132f
free vibration  129–131
heaving point absorber  133–135
mass-spring-damper  128–129
motions  128
oscillating water column  127
oscillating wave surge converters  126
overtopping devices  127
surface point absorbers  126 , 127f
Wave Information Studies (WIS)  97–98 , 98f
Wave power  112–113
for irregular waves  116–118
for monochromatic waves  286
Wave resource characterization  291–292
Acoustic Waves and Currents  180
bias  216–217
correlation coefficient  216
dissipation  214
Galway Bay (Ireland)  221–225
nonlinear wave-wave interactions  214–215
phase-averaged  213
pressure transducers  180
root mean squared error  216
scatter index  216
wave buoys  175–180
wind input  213–214
Wave tide interaction  285
tidal currents on wave energy  286–288
waves on tidal energy  288–289
Weibull distribution  95–96 , 96f
Western boundary currents  142
Wind 
defined  83
turbines, development of  22–23 , 22f
velocity  92–93 , 93f
waves  21–22 , 107
Wind fields  197–198
Wind speed 
probability density function  94–97 , 95f
temporal variations  94
Weibull distribution  95–96 , 96f
Wind-wave projects  261–264

X

X-band radar  181

Z

z-coordinates  195 , 195f
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