Wave Motions in the Ocean and Atmosphere

Internal Gravity Waves

Page 3: IGW Solutions

• k=2,m=1,cp=0.4,cg= 0.089,-0.18 (GIF)

• k=1,m=2,cp=0.2,cg= 0.36,-0.18 (GIF)

• k=2,m=2,cp=0.25,cg=0.18,-0.18 (GIF)

Page 5: Dispersion Relation

• disp rel (JPG)

Page 6: Two Waves

• initial (JPG)

• initial (JPG)

Page 6: Two Waves

• initial (JPG)

• evolution (GIF)

• NK/(1+K*K) (GIF)

• NK/(1+K*K)**2 (GIF)

Page 9: Reflection Problem

• geometry (JPG)

Page 10: Incident/Refl

• geometry (JPG)

• group vel (JPG)

• phi=30,beta=0 (JPG)

• wavefronts (JPG)

• phi=30,beta=15 (JPG)

• wavefronts (JPG)

• phi=30,beta=25 (JPG)

• wavefronts (JPG)

• phi=30,beta=45 (JPG)

• wavefronts (JPG)

Page 10: Large Slope

• phi=60,beta=15 (JPG)

• wavefronts (JPG)

• phi=60,beta=45 (JPG)

• wavefronts (JPG)

• phi=60,beta=55 (JPG)

• wavefronts (JPG)

• phi=60,beta=85 (JPG)

• wavefronts (JPG)

Page 10: Focus

• incident (JPG)

• 1st refl (JPG)

• 2nd refl (JPG)

• 3rd refl (JPG)

• 4th refl (JPG)

• 5th refl (JPG)

• 6th refl (JPG)

• 7th refl (JPG)

Page 11: Short Scales

• Uk/N=1.01 (JPG)

• Uk/N=1.5 (JPG)

• Uk/N=2 (JPG)

Page 12: Long Scales

• Uk/N=0.99 (JPG)

• Uk/N=0.9 (JPG)

• Uk/N=0.8 (JPG)

• Uk/N=0.7 (JPG)

Page 15: Topographies

• Uk/N=1.001 (JPG)

• Uk/N=1.01 (JPG)

• Uk/N=1.05 (JPG)

• Uk/N=1.07 (JPG)

• Uk/N=1.08 (JPG)

• Uk/N=0.99 (JPG)

• Uk/N=0.9 (JPG)

• Uk/N=0.5 (JPG)

• Uk/N=0.2 (JPG)

Page 16: Modes

• N squared (JPG)

• kh=0.01 (JPG)

• kh=0.1 (JPG)

• kh=1 (JPG)

• kh=10 (JPG)

• disp rel (JPG)

• wkb disp rel (JPG)