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Official Journal of the Asia Oceania Geosciences Society (AOGS)

Table 3 The horizontal wavenumber, wavelength, and group speed for the K1 constituent (period = 23.94 h; ω = 7.29 × 10−5 s−1) in a water depth of 1200 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

4.4 × 107

2300

84

Two-layer interfacial wave: finite over : barotropic

5.4 × 10−10

1,800,000

67,000

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

3.3 × 10−5

30

2.2

Continuous stratification without rotation

1

2.9 × 10−5

34

2.5

2

5.8 × 10−5

17

1.2

Continuous stratification with rotation

1

2

Barotropic Kelvin wave

1.0 × 10−6

960

70

Baroclinic Kelvin wave

3.3 × 10−5

30

2.2

Barotropic Poincaré wave

Baroclinic Poincaré wave

1

2

Shallow water surface gravity wave

1.0 × 10−6

960

70

Deep water surface gravity wave

5.4 × 10−10

1,800,000

67,000

  1. The mode 1 wavelength is 2400 m and the mode 2 is 1200 m. Italics numbers indicate wavelengths that are resolvable in the simulations. Unrealistic waves due to wavelengths exceeding Earth’s circumference have been struck through