The critical analysis of dolphins, fish and pinnipeds hydrodynamics in word-wide scientific literature for the last 70 years is presented. Biohydrodynamic researches in the former USSR and Russia are compared to the researches in other countries (including the USA). A lot of attention was paid to the investigation of thin structure of the dolphins and pinnipeds boundary layer in the former USSR and Russia. This method is essential for understanding of the dolphins hydrodynamic. Experiments of this kind haven’t been carried out in Western Countries and the USA so far. The mathematical transformations and formulas to calculate the dolphins fluke model thrust and power coefficients and efficiency are presented.

In the paper the brief analysis of the research concerning tsunami action on the obstacles that idealize the main types of off-shore hydraulic structures is given. The impermeable obstacles as vertical wall, vertical cylinder as well as partly buried having squared shape obstacles are considered. The authors’ research results are cited too. The aim of the undertaken analysis is to elaborate the engineering design procedures for the wave loadings estimation.

The article investigates the motion of floating gate shutter that blocks a navigation pass due to flooding of ballast tanks. The software package Star-CD by Computational Dynamic, London is used to simulate viscous fluid. Comparative analysis of motion of a floating gate with the initial shape of a shutter cross-section and a shutter with an additional structural element (volume of flotation), that changes the flow structure when the object approaches the bottom and acts as a destroyer of large-scale vortex, was made. It is demonstrated that continuous oscillations of the shutter take place under a certain difference in fluid level (stability threshold). At the same time, the value of stability threshold of the additionally developed structure turns out to be much higher. The results presented make it possible to determine trends for increasing stability threshold.

Using possibilities of contemporary information technology, the paper presents synthesis of a tracking system for a sea moving object in which robust (steady against abnormal measurements) and adaptive (to possible unaccounted object dynamic disturbances) properties are correctly combined. The statistical modeling results of the responder beacon, which confirm the efficiency of the offered algorithms are also given in the article.

This work deals with the probability solution structure for some stochastic equations as the dynamic foundation for statistic generation on the base of functional methods. At the first step, the general methodology is formed for the characteristic functionals (ChF) determining in the case of non-linear dynamic problem solutions in terms of the ChF of external action (source). This method is used for concluding the statistics of solutions for definite class of non-linear equations in space-time-domain, whereas satisfied to cause conditions. Then this method is distributed on one-dimension non-linear wave equation. Finally, the analytical forms are constructed for ChF of the solutions in terms of ChF of external random sources for hydrophisical and hydroacoustic channels for information propagation.

A mathematical model of sound wave propagation from a point source in the unbounded inhomogeneous fluid with a coordinate – depended and having a minimum sound speed is considered. Results of analytical treatment using perturbation method are given.

In the present paper the actual problem of the creating of the new type of sea simulator for solution the design and research tasks is considered. The hydrodynamics aspects of the developing of such kind simulator and perspective CFD methods for their creating are discussed. The examples of the mathematical models and computers software for the prediction of the hydrodynamics characteristics for this simulator are described.