Internal gravity waves: theory and applications

Description

Introduction

Chapter 1.

General problems of the linear theory of the internal gravity waves.

1.1. Basic equations.

1.2. Planar internal gravity waves in the exponentially stratified medium.

1.3. Steady-state internal gravity waves and the problem of reflection from the planar boundaries.

1.4. Green function of the equation of the internal gravity waves in the exponentially stratified medium.

1.5. The internal gravity waves in the stratified layer of the finite depth.

1.6. The internal gravity waves in the stratified mediums with the average shift flows.

Chapter 2.

Internal gravity waves from the local and non-local sources of disturbances in the stratified mediums.

2.1 Local sources of disturbances of the internal gravity waves in the stratified mediums: formulation of the problem and the integral forms of solutions.

2.2 Asymptotic behavior of the solutions far from the local and non-local disturbing sources.

2.3 Asymptotic forms of the solutions in the vicinity of the trajectories of movement of the disturbances sources.

2.4 Far and intermediate-range asymptotic forms of the fields of the internal gravity waves in the deep ocean.

2.5 Asymptotic representations of the solutions near to the sources of disturbances.

2.6 Internal gravity waves from the non-local sources of disturbances (three-dimensional case).

Chapter 3.

Non-harmonic wave trains of the internal gravity waves in the heterogeneous and non-stationary stratified mediums.

3.1. Basic concepts of the method of the geometric optics.

3.2.. Uniform asymptotics of the far field of the internal gravity waves in the layer of the stratified medium with the smoothly varying bottom.

3.3. Local asymptotics of the far field of the internal gravity waves in the layer of the stratified medium with smoothly varying bottom.

3.4. Uniform asymptotics of the fart field of the internal gravity waves in the stratified heterogeneous in the horizontal direction mediums.

3.5. Local asymptotics of the far field of the internal gravity waves in the stratified heterogeneous in the horizontal direction medium.

3.6 Local asymptotics of the far field of the internal gravity waves in the stratified non-stationary medium.

Chapter 4.

Critical modes of generation of the internal gravity waves.

4.1. Internal gravity waves at the arbitrary non-stationary movement of the source.

4.2. Critical modes of generation of the internal gravity waves.

4.3 Internal gravity waves near to the sources of disturbances at the critical modes of generation.

Chapter 5.

Non-spectral methods of analysis of the in-situ measurements of the internal gravity waves.

5.1. Main ideas and methods of the spectral analysis of the internal gravity waves.

5.2. Non-spectral methods of the analysis of the measurements of the internal gravity waves in the Western Sahara shelf region.

5.3 Non-spectral and the spectral researches of propagation of the tidal internal gravity waves on the example of the experiment – «Mezopolygon» (the tropical part of the Eastern Atlantic).

5.4 Single out of the wave-trains of the internal gravity waves on the background of the heavy interferences in compliance with the results of the in-situ measurements in the Black sea.

Appendix A.

Numerical methods of solution of the fundamental vertical spectral problems

Appendix B.

Green modified function for the equation of the internal gravity waves in the stratum of the stratified medium with the constant average flow.

Conclusion.

References.