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Official Journal of the Asia Oceania Geosciences Society (AOGS)

Table 5 The horizontal wavenumber, wavelength, and group speed for a frequency of 4 cpd (period = 6 h; ω = 2.91 × 10−4 s−1) in a water depth of 500 m and an upper layer thickness of 200 m at 32.5° N, following the equations in Table 1

From: An evaluation of the performance of vertical mixing parameterizations for tidal mixing in the Regional Ocean Modeling System (ROMS)

Wave type

Mode

k (m−1)

λH (km)

cg (m s−1)

Two-layer interfacial wave: over

6.9 × 106

144

21

Two-layer interfacial wave: finite over : barotropic

8.6 × 10−9

120,000

17,000

Two-layer interfacial wave: finite over : baroclinic shallow water

1.3 × 10−4

7.6

2.2

Continuous stratification without rotation

1

1.2 × 10−4

8.5

2.5

2

2.3 × 10−4

4.3

1.2

Continuous stratification with rotation

1

1.1 × 10−4

8.8

2.4

2

2.2 × 10−4

4.4

1.2

Barotropic Kelvin wave

4.2 × 10−6

240

70

Baroclinic Kelvin wave

1.3 × 10−4

7.5

2.2

Barotropic Poincaré wave

4.0 × 10−6

250

67

Baroclinic Poincaré wave

1

1.1 × 10−4

8.9

2.4

2

2.3 × 10−4

4.4

1.2

Shallow water surface gravity wave

4.2 × 10−6

240

70

Deep water surface gravity wave

8.6 × 10−9

120,000

17,000

  1. The mode 1 wavelength is 1000 m and the mode 2 is 500 m. Italic numbers indicate wavelengths that are resolvable in the simulations
  2. Unrealistic waves due to wavelengths exceeding Earth’s circumference have been struck through