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Official Journal of the Asia Oceania Geosciences Society (AOGS)

Table 6 The horizontal wavenumber, wavelength, and group speed for a frequency of 6 cpd (period = 4 h; ω = 4.36 × 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

1.6 × 105

64

14

Two-layer interfacial wave: finite over : barotropic

1.9 × 10−8

51,000

11,000

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

2.0 × 10−4

5.0

2.2

Continuous stratification without rotation

1

1.8 × 10−4

5.7

2.5

2

3.5 × 10−4

2.8

1.2

Continuous stratification with rotation

1

1.7 × 10−4

5.8

2.4

2

3.4 × 10−4

2.9

1.2

Barotropic Kelvin wave

6.2 × 10−6

160

70

Baroclinic Kelvin wave

2.0 × 10−4

5.1

2.2

Barotropic Poincaré wave

6.1 × 10−6

163

69

Baroclinic Poincaré wave

1

1.7 × 10−4

5.8

2.4

2

3.5 × 10−4

2.9

1.2

Shallow water surface gravity wave

6.2 × 10−6

160

70

Deep water surface gravity wave

1.9 × 10−8

51,000

11,000

  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. Unrealistic waves due to wavelengths exceeding Earth’s circumference have been struck through