Подробнее
Подробнее  
V.V.Bulatov, Yu.V.Vladimirov
Non-harmonic wave packets dynamics in 
stratified mediums. 
Moscow: Nauka, 2010, 470 pp (in Russian)


Annotation

The monograph is devoted to the research of the processes of disturbance and propagation of the non-harmonic internal gravity waves within the vertically stratified horizontally non-uniform and non-stationary mediums, to development of the asymptotic methods being by the generalization of the space-time ray-tracing method (the method of the geometrical optics), to research of the critical phenomena at generation and propagations of the internal gravity waves, and also to development of non-spectral methods of the hydro physical fields measurements in the ocean. The monograph is intended for the specialists in the field of the mathematical modeling, hydrodynamics, ocean dynamics. Contents Introduction Chapter 1. Generation and dynamics of the non-harmonic wave internal gravity wave packets in stratified mediums 1.1 Internal gravity waves in the stratified mediums: basic equations and integral forms of solutions. 1.2 Non-harmonic internal gravity wave packets far from the disturbing sources. 1.3 Non-harmonic internal gravity wave packets near to the disturbing sources. 1.4 Non-harmonic internal gravity wave packets in the vicinity of the source movement trajectories. 1.5 Modified Green's function of internal gravity waves in a layer of stratified medium with constant shear flow 1.6 Non-harmonic internal gravity wave packets at the arbitrary non-stationary source movement and generation critical modes 1.7 Non-harmonic internal gravity wave packets generated by stationary sources 1.8 Internal gravity waves in the stratified mediums with shear flow 1.9 Dynamics of internal gravity waves in the exponentially stratified mediums. Chapter 2. Numerical calculations of non-harmonic internal gravity wave packets generation and dynamics from the non-local sources of disturbances 2.1 Numerical methods of fundamental vertical spectral problem solution: eigenfunctions and eigenfunctions determination 2.2 3D - calculations of non-harmonic internal gravity wave packets from the non-local sources of disturbances 2.3 Non-local boundary conditions for mathematic modeling of stratified medium wave dynamics 2.4 Boundary and initial conditions for numerical calculations of the internal gravity waves far from the disturbing sources. Chapter 3. Non-harmonic wave internal gravity wave packets s in the heterogeneous and non-stationary stratified mediums. 3.1 Basic concepts of the geometric optics (WKB) method 3.2 Non-harmonic internal gravity wave packets in the stratified medium layer with the varying bottom. 3.3 Non-harmonic internal gravity wave packets in the heterogeneous stratified mediums. 3.4 Non-harmonic internal gravity wave packets in the non-stationary stratified mediums. 3.5 The uniform asymptotic form of the internal gravity waves field generated by a source moving above the smoothly varying bottom Chapter 4. Spectral and non-spectral methods of analysis of the of the non-harmonic internal gravity waves packets measurements in ocean. 4.1 Main ideas and methods of the spectral and non-spectral internal gravity waves analysis measurements 4.2 Non-spectral methods of the analysis of the hydro physical measurements in ocean. 4.3 Non-spectral methods of the analysis of the non-harmonic internal gravity waves packets measurements in ocean. Appendix. Evaluation of the linear theory satisfiability limits in propagation of the internal gravity waves References