Symbols

(Some symbols used in only one section are not included in the list.)
a
   Wave amplitude
a
   Triangle (ETS) height
A
   Absorption coefficient
ax, ay, az
   Particle acceleration
b
   Width
b
   Threshold or given value of the surface elevation
b
   Threshold or given value of a wave crest height
b
   Triangle (ETS) base
c
   Wave propagation speed
C
   Height of a wave crest
C
   Energy-flux/energy factor
Cd
   Diffraction coefficient
Cr
   Refraction coefficient
Cs
   Shoaling coefficient
Cdg
   Drag coefficient
Cin
   Inertia coefficient
cG
   Group velocity
cR
   Propagation speed of the reflected wave energy
d
   Water depth
D
   Diameter
D
   Directional distribution
D
   Persistence above a fixed threshold
Eimage
   Mean wave energy per unit surface
Eimage
   Dimensionless frequency spectrum
E
   Frequency spectrum (omnidirectional spectrum)
EP
   Electrical power
f
   Frequency
f
   General function
F
   General function
F
   Function in the diffraction theory
fx, fy, fz
   Force per unit length
Fx, Fy, Fz
   Force, or force per unit length
FRimage
   Phase-speed reduction factor
g
   Acceleration due to gravity
G
   Function in the diffraction theory
h
   Threshold or given value of the significant wave height
h
   Energy per unit weight at various locations of a converter
H
   Wave height
Hs
   Significant wave height
Hs0
   Significant wave height on deep water
k
   Wave number
k
   Exponent in the gas law
K
   Constant
K
   Head loss factor
K′, K
   Parameters regression base height of ETS
K1, K2
   Parameters distribution wave heights in a sea state
K0
   Parameter relationship between Tp and Hs for wind seas
KE
   Keleugan–Carpenter number
K(n)
   Normalizing factor directional distribution
L
   Lifetime of a structure
L
   Wavelength
L0
   Wavelength on deep water
Lp
   Wavelength relevant to wave period Tp
Lp0
   Wavelength, on deep water, relevant to wave period Tp
mj
   jth spectral moment (with angular frequencies)
m0
   Variance of the surface elevation of a sea state
M
   Determinant of a covariance matrix
M
   Moment of a force
Ma
   Air mass
Mij
   i,j cofactor of a covariance matrix
np
   Width parameter of the directional distribution at the peak frequency
p
   Pressure
p
   Probability density function
P
   Probability of exceedance
Pimage
   Probability
pa
   Absolute pressure air
Q
   Flow rate per unit length
r
   Polar coordinate
R
   Radius
R
   Return period
R
   Resonance coefficient
s
   Local propagation axis
S
   Directional spectrum
t
   Time
to
   Special time instant
T
   Wave period
T
   Time lag
T
   Lag of the absolute minimum of the autocovariance
Tp
   Peak period
Th
   Period of a very large wave
Tm
   Mean wave period
u
   Dummy variable
u
   Current velocity
u
   Wind speed at an elevation of 10 m above the mean sea surface
u
   Velocity in the vertical duct of a U-OWC
u
   Parameter of the Weibull 2-parameter distribution
vx, vy, vz
   Particle velocity
w
   Dummy variable
w
   Dimensionless frequency (=ω/ωp)
w
   Parameter of the Weibull 2-parameter distribution
x
   Dummy variable
x
   Horizontal coordinate axis
xo
   Fixed value of x
X
   Space lag
y
   Horizontal coordinate axis
yo
   Fixed value of y
Y
   Space lag
Yimage
   Fetch
z
   Vertical coordinate axis with origin at the still water level
α
   Angle between x-axis and direction of wave advance
α
   Quotient between wave height and RMS surface elevation of a sea state
Α
   Energy scale parameter JONSWAP spectrum (α in the original paper)
β
   Dimensionless wave height with a universal distribution
β
   Polar coordinate
β
   Ratio between the wave height at a U-OWC and the wave height at a vertical breakwater
γ
   Specific weight of water
Δp
   Wave pressure
Δω
   Angular frequency resolution
ε
   Phase angle
ζ
   Vertical coordinate axis with origin at the seabed
η
   Surface elevation (assumed to have a zero mean)
θ
   Angle between the y-axis and the direction of wave advance
θd
   Angle of the dominant direction
λ
   Sea bottom slope
ν
   Chinematic viscosity
ξ
   Dummy variable whose domain is (0,1)
ξ
   Ratio between crest height and wave height
ξ
   Height of the air pocket of a U-OWC
ρ
   Water density
σ
   RMS surface elevation of a sea state
τ
   Time lag between crest and trough
τ
   Ratio between a time lag T and peak period Tp
τ
   Time lag covariance pressure-discharge in a converter
ϕ
   Velocity potential
Φ
   Cross-covariance of surface elevation and velocity potential
Φ
   Mean energy flux per unit length
χ
   Ratio between cR and cG
χ1
   Shape parameter JONSWAP spectrum (γ in the original paper)
χ2
   Shape parameter JONSWAP spectrum (σ in the original paper)
ψ
   Autocovariance function
ψ
   Narrow bandedness parameter (= absolute value of the ratio between the minimum and the maximum of the autocovariance function)
Ψ
   Cross-covariance of surface elevation
Ψˆimage
   Cross-correlation of surface elevation
ω
   Angular frequency
ωp
   Dominant angular frequency of the spectrum

Mathematical Symbols

f(t)image
   Time average of function f(t)
f(t)
   Time derivative of function f(t)

Symbols Used in All the FORTRAN Programs

PG = π
DPG = 2π
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