As it is known the distribution of harmful substances in the atmosphere directly depends on the wind speed. This paper considers the problem of hydrodynamics in the form of nonlinear partial differential equations of Navier-Stokes to determine the velocity of air masses in the atmosphere in three directions u, v and w. The wind speed at each point of the considered region is different. Therefore, in this paper we have developed an algorithm for the numerical solution of the equations of atmospheric air mass velocity in three-dimensional space with respect to time and space variables, using a high-order approximation and an implicit difference scheme to ensure the stability of the computational process.
| Mualliflar | Muradov, F.A., Tashtemirova, N.N., Eshboeva, N.F., Goziev, Kh.I., Мурадов, Ф.А., Таштемирова, Н.Н., Эшбоева, Н.Ф., Гозиев, Х.И. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashr sanasi | 2024-05-21 |
| Son | 1 |
| Betlar | 48-61 |
| Til | Rus |
mathematical model, wind speed, Navier-Stokes equations, finite-difference method, solution approximation, run-through method, математическая модель, скорость ветра, уравнения Навье-Стокса, конечно-разностный метод, аппроксимация решения, метод прогонки
The work considers the process of filtration of water and oil phases, taking into ac count the deformation of the porous medium, opened by a system of production wells. The wells are grouped in rows. We assume that oil…
The study of atmospheric pollutant transport and diffusion processes remains a vital scientific issue and a field of interest for many researchers. Mathematical modeling is often the most effective means for uncovering…
The paper explores a mathematical model for suspension filtration in a porous medium, incorporating a mass balance equation for suspended particles and kinetic equa tions for both irreversible and reversible particle…
Large cities often face challenges in providing an eco-friendly living space. This is crucial in residential areas where the majority resides, aiming for high social and envi ronmental comfort. Key pollution sources…
This article presents the results of studies on the theory of filtration in an accurate forecast of changes in the level of groundwater during irrigation in the republic, as well as in assessing the impact of artificial…
The problem of dynamic vibration dampers of hereditarily deformable systems with f inite numbers of degrees of freedom is considered. The rheological properties of the spring (suspension) are taken into account using an…
In this paper, we study the problem of stabilizing the equilibrium state for a hyper bolic system with negative nonlocal characteristic velocities and measurement error. The formulation of a mixed boundary control…
The paper considers the application of the optimal quadrature formula in the space to numerical solution of linear Fredholm integral equations of the second kind. The results of specific examples are analyzed. The exact…
The article examines McSherry’s mathematical model, taking into account heredity, to describe artificial ECGs. The mathematical model consists of three ordinary nonlinear differential equations with derivatives of…
In the work, new model equations in deformations for orthotropic bodies are proposed, from which, in a particular case, the well-known differential equations for the compat ibility of deformations for isotropic bodies…