## Model of dynamics of atmosphere with monotone numerical schemes

On the base of integral identity numerical schemes, monotonic and conditional monotonic schemes, for the solution of a three-dimensional problem of thermodynamics of the atmosphere have been constructed. The models have been realized with respect to these two schemes, as well the numerical research of qualities of schemes has been...

## Modeling of a pollutant spreading from high sources in atmosphere

The need to estimate an influence of high sources to the air quality near the land surface by mathematical methods leads to the construction of models describing the processes of a polutants spreading in atmosphere. One peculiarity of this problem is the following. The source of a pollutant arranges on...

## Simulation of global atmospheric methane cycle

In the previous study the three-dimensional climatic model, with realistic representation of global circulation, supplemented by the continuity equation for methane (CH4) has been considered as a tracer transport model On the basis of this model there has been performed the simulation of the atmospheric response to the...

## Variability of the North Pacific circulation model under the surface forcing from re-analysis data

The 3-D finite element North Pacific Circulation Model developed in the Novosibirsk Institute of Computational Mathematics and Mathematical Geophysics (ICMMG) is used to study the sensitivity of the North Pacific circulation to the varying boundary conditions at the sea surface. The initial conditions have been taken from the results of...

## An axially symmetric numerical model for the emergence of a tornado in a mesoscale cyclone

Spouts and tornadoes are phenomena that are especially dangerous. They are accompanied by very strong winds and cumulonimbus, shower, hail, and charge clouds. The vertical dimensions of a tornado are, as a rule, several fold larger than its horizontal dimensions, since intensive motion usually begins in the cloud layer and...

## Variational methods of information assimilation in the problem of probabilistic modeling of hydrometeoroligical fields

In the paper, a new method of simulation of independent climatic realizations of space-time fields of hydrometeorological elements with some set of statistical characteristics of real fields based on the variational principle of information assimilation is proposed. This method is allowed to combine some peculiarities of determinate numerical models of...

## Numerical eddy-resolving model of nonstationary penetrative convection in the spring solar heating of ice-covered lakes

An eddy-resolving model of the penetrating turbulent convection in the ice-covered large lakes in moderate altitudes in the spring radiation heating has been constructed. A scheme of energy transformations in the simulated phenomenon is described. A comparison of the calculation results with natural data is done.

## Mathematical simulation of the methane inflow into the atmosphere from the ocean methanehydrates under the ocean warming

It is supposed that with the climate variability, the temperature of the ocean surface begins its raising by 0.03 degree annually during 50 years and then decrease up to primal value for 50 years. The climatic model of the ocean with 24 levels on a vertical is further integrated for...

## On the deep water formation in the World Ocean model

This paper reports the results from coarse-resolution World Ocean numerical experiments on simulation of the mechanism of the deep water formations in high latitudes of the North Atlantic and in the Southern Ocean. The global large scale geostrophic ocean circulation model with 5 degree resolution on latitude and longitude and...

## Application of eddy-resolving models for penetrating turbulent convection in the atmosphere and deep lakes

This paper presents the results of the numerical research into the generation of the free thermal convection in the atmosphere and lakes on the basis of the mesoscale eddy-resolving models. The surface values of the heat flux into the atmosphere and the temperature of the lake surface are taken from...

## Modeling of barotropic fluid dynamics on the sphere based on the contour dynamics

In this paper, a solution of equations of the barotropic fluid evolution in the spherical geometry by the method of the contour dynamics is considered. Integro-differential equations for velocity and some dynamic characteristics are obtained. The motions and interactions of some vortex structures on the sphere are studied.