Numerical modelling of sea currents and tidalwaves

Author(s):  
Vladimir B. Zalesny ◽  
Anatoly V. Gusev ◽  
Anna N. Lukyanova ◽  
Vladimir V. Fomin

AbstractWe consider a mathematical model of sea currents and tidal waves based on the marine dynamics primitive equations. The equations are written in the orthogonal coordinate system on sphere with arbitrary position of the poles. It makes it possible to increase horizontal resolution due to placement of a pole into vicinity of the considered sub-area. Two problems are solved: (1) joint computation of wind-generated, baroclinic and tidal currents in the Black and Azov Seas; (2) simulating mesoscale variability of coastal currents in the Black Sea. The second problem is solved with increased horizontal resolution in the coastal zone of Gelendzhik.

Author(s):  
Nikolay Esin ◽  
Nikolay Esin ◽  
Vladimir Ocherednik ◽  
Vladimir Ocherednik

A mathematical model describing the change in the Black Sea level depending on the Aegean Sea level changes is presented in the article. Calculations have shown that the level of the Black Sea has been repeating the course of the Aegean Sea level for the last at least 6,000 years. And the level of the Black Sea above the Aegean Sea level in the tens of centimeters for this period of time.


1995 ◽  
Vol 31 (7) ◽  
pp. 107-115 ◽  
Author(s):  
Ole Mark ◽  
Cecilia Appelgren ◽  
Torben Larsen

A study has been carried out with the objectives of describing the effect of sediment deposits on the hydraulic capacity of sewer systems and to investigate the sediment transport in sewer systems. A result of the study is a mathematical model MOUSE ST which describes sediment transport in sewers. This paper discusses the applicability and the limitations of various modelling approaches and sediment transport formulations in MOUSE ST. Further, the paper presents a simple application of MOUSE ST to the Rya catchment in Gothenburg, Sweden.


2015 ◽  
Vol 36 (2) ◽  
pp. 17-28
Author(s):  
Lucyna Florkowska ◽  
Jan Walaszczyk

Abstract Numerical modelling is an important tool used to analyse various aspects of the impact of underground mining on existing and planned buildings. The interaction between the building and the soil is a complex matter and in many cases a numerical simulation is the only way of making calculations which will take into consideration the co–existence of a number of factors which have a significant influence on the solution. The complexity of the matter also makes it a difficult task to elaborate a proper mathematical model – it requires both a thorough knowledge of geologic conditions of the subsoil and the structural characteristics of the building. This paper discusses the most important problems related to the construction of a mathematical model of a building-mining subsoil system. These problems have been collected on the basis of many years of experience the authors have in observing the surveying and tensometric deformations of the rock–mass and buildings as well as in mathematical and numerical modelling of the observed processes.


Author(s):  
John A. Adam

This chapter describes a mathematical model of tsunami propagation (transient waves). A tsunami is a series of ocean waves triggered by large-scale disturbances of the ocean, including earthquakes, as well as landslides, volcanic eruptions, and meteorites. Tsunamis have very long wavelengths (typically hundreds of kilometers). They have also been called “tidal waves” or “seismic sea waves,” but both terms are misleading. The chapter first considers the boundary-value problem before modeling two special cases of tsunami generation, one due to an initial displacement on the free surface and the other due to tilting of the seafloor. It also discusses surface waves on deep water and how fast the wave energy propagates and concludes with an analysis of leading waves due to a transient disturbance.


2011 ◽  
Vol 189-193 ◽  
pp. 2426-2433 ◽  
Author(s):  
Jin Zong Xiang ◽  
Yin Zhang ◽  
Wen Jun Fan ◽  
You Duo He

A three-dimensional mathematical model of growth, integrated with a new and effective algorithm for visibility checking, has been established based on a spray forming equipment with three different fixed atomizers in this paper. The model was used to predict the geometrical shape and the thickness profiles of the tubular deposit under various situations. By investigating and discussing the effects of different mandrel movement parameters and spray heights, the optimal atomizer of the equipment to fabricate a tubular preform was identified numerically.


2010 ◽  
Vol 225 (2) ◽  
pp. 180-190 ◽  
Author(s):  
N.V. Esin ◽  
V. Yanko-Hombach ◽  
O.N. Kukleva

1990 ◽  
Vol 1 (4) ◽  
pp. 271-278 ◽  
Author(s):  
V. I. Klimok ◽  
K. K. Makeshov ◽  
M. V. Pertseva ◽  
V. A. Rybalka

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