Index
A
Advection, 28, 29, 60, 68, 91, 97, 104–109,
111, 112, 116, 122
Approximation
boussinesq, 42–43, 151, 153
beta-plane, 52–53, 145, 149
f-plane, 52
hydrostatic, 41
rigid-lid, 150–151
Arakawa C-grid, 91–92, 93, 100
Archimedes’ principle, 34–35
B
Balance
geostrophic, 20, 123, 124, 130, 132, 137,
153, 159
hydrostatic, 41, 42, 47, 123
sverdrup, 20, 141
Baroclinic
instability, 119, 157–158
compensation, 148–149
Barotropic instability, 132, 133, 134–137, 157,
158, 162
Benthic storms, 158, 161
Bottom friction
linear, 61
quadratic, 61, 99, 163
semi-implicit approach for, 99–100, 120
Boundary conditions
cyclic, 74, 135, 158
full-slip, semi-slip, zero-slip, 115–116
radiation, 97
zero-gradient, 74, 80, 101, 115, 116, 130,
156, 163
Brunt–V¨ ais¨ al¨ a frequency, 35–36
Buoyancy force, 34–36, 37, 38, 39
C
Cartesian coordinates, 18, 19, 28, 30, 31, 32,
35, 52, 53, 60
CFL criterion, 94
Continuity equation, 30–32, 33, 60, 61, 69, 70,
111, 122, 125, 129, 133
vertically integrated form of, 32, 61,
69, 111
Contours and contour interval, 18
Control volume, 31, 32, 71, 72, 92, 105, 106,
111, 114
Coriolis force, 28, 43–57, 62, 63, 68, 91, 99,
119–120, 121, 122, 123, 137, 139, 152,
164, 165, 166
Coriolis parameter, 51–52, 53, 60, 121, 122,
124, 126, 129, 133, 135, 137, 139, 145,
153, 154, 156, 159
Courant number, 105, 106
Current, see fl w
Cyclogenesis, 161
D
Density, 30, 34, 35, 36, 37, 38, 39, 41, 42, 43,
58, 59, 60, 61, 68, 82, 83, 84, 85, 86,
91, 94, 120, 123, 124, 127, 128, 138,
145, 148, 149, 150, 151–155, 156, 158,
159, 160, 162–163
Density front, 151–155
Diffusion equation, 59–60, 101, 115
Dispersion relation, 24, 70, 87, 127, 128
Dynamic pressure, 42, 60, 82
E
Ekman
drift, 139, 148
layer, 137, 139–140, 141, 142–143, 145
number, 139
pumping, 140, 143, 145
Equation of state, 30, 34, 60
173
A
Advection, 28, 29, 60, 68, 91, 97, 104–109,
111, 112, 116, 122
Approximation
boussinesq, 42–43, 151, 153
beta-plane, 52–53, 145, 149
f-plane, 52
hydrostatic, 41
rigid-lid, 150–151
Arakawa C-grid, 91–92, 93, 100
Archimedes’ principle, 34–35
B
Balance
geostrophic, 20, 123, 124, 130, 132, 137,
153, 159
hydrostatic, 41, 42, 47, 123
sverdrup, 20, 141
Baroclinic
instability, 119, 157–158
compensation, 148–149
Barotropic instability, 132, 133, 134–137, 157,
158, 162
Benthic storms, 158, 161
Bottom friction
linear, 61
quadratic, 61, 99, 163
semi-implicit approach for, 99–100, 120
Boundary conditions
cyclic, 74, 135, 158
full-slip, semi-slip, zero-slip, 115–116
radiation, 97
zero-gradient, 74, 80, 101, 115, 116, 130,
156, 163
Brunt–V¨ ais¨ al¨ a frequency, 35–36
Buoyancy force, 34–36, 37, 38, 39
C
Cartesian coordinates, 18, 19, 28, 30, 31, 32,
35, 52, 53, 60
CFL criterion, 94
Continuity equation, 30–32, 33, 60, 61, 69, 70,
111, 122, 125, 129, 133
vertically integrated form of, 32, 61,
69, 111
Contours and contour interval, 18
Control volume, 31, 32, 71, 72, 92, 105, 106,
111, 114
Coriolis force, 28, 43–57, 62, 63, 68, 91, 99,
119–120, 121, 122, 123, 137, 139, 152,
164, 165, 166
Coriolis parameter, 51–52, 53, 60, 121, 122,
124, 126, 129, 133, 135, 137, 139, 145,
153, 154, 156, 159
Courant number, 105, 106
Current, see fl w
Cyclogenesis, 161
D
Density, 30, 34, 35, 36, 37, 38, 39, 41, 42, 43,
58, 59, 60, 61, 68, 82, 83, 84, 85, 86,
91, 94, 120, 123, 124, 127, 128, 138,
145, 148, 149, 150, 151–155, 156, 158,
159, 160, 162–163
Density front, 151–155
Diffusion equation, 59–60, 101, 115
Dispersion relation, 24, 70, 87, 127, 128
Dynamic pressure, 42, 60, 82
E
Ekman
drift, 139, 148
layer, 137, 139–140, 141, 142–143, 145
number, 139
pumping, 140, 143, 145
Equation of state, 30, 34, 60
173