Original sentence: If one assumes that f is constant along the right boundary conditions and the zonal wind speed is set equal to zero, then the primitive equations become the following:.The primitive equations then become the following:.The solution to these equations yields the following phase speed: ; this result is the same speed for shallow-water gravity waves without the effect of earth’s rotation.Utilizing the assumption that v = 0, one may solve a frequency relation for the phase speed of coastal Kelvin waves, which are among the class of waves called boundary waves, edge waves, trapped waves, or surface waves (similar to the Lamb waves).the Continuity equation:.the U-momentum equation (zonal wind component):.the U-momentum equation:.the V-momentum equation (meridional wind component):.the V-momentum equation:.these waves move equatorward/southward - negative phase speed - on a western boundary and poleward/northward - positive phase speed - on an eastern boundary; the waves move cyclonically around an ocean basin)
Edited sentence: If one assumes that the Coriolis coefficient f is constant along the right boundary conditions and the zonal wind speed is set equal to zero, then the primitive equations become the following:.The (linearised) primitive equations then become the following:.The solution to these equations yields the following phase speed: c2 = gH, which is the same speed as for shallow-water gravity waves without the effect of Earth’s rotation.Utilizing the assumption that the cross-shore velocity is zero at the coast, v = 0, one may solve a frequency relation for the phase speed of coastal Kelvin waves, which are among the class of waves called boundary waves, edge waves, trapped waves, or surface waves (similar to the Lamb waves).the continuity equation:.the u-momentum equation (zonal wind component):.the u-momentum equation:.the v-momentum equation (meridional wind component):.the v-momentum equation:.these waves move equatorward/southward – negative phase speed – on a western boundary and poleward/northward – positive phase speed – on an eastern boundary; the waves move cyclonically around an ocean basin)