23/11/2011 | 1. Prof. A. Domoshnitsky Ariel University, Israel 2. Dr. Alexey L.Chadov (Department of Information Systems and Mathematical Methods in Economics, Perm State University, Perm, Russia) 3. Dr. Konstantin A. Gavrilov (Department of Information Systems and Mathematical Methods in Economics, Perm State University, Perm, Russia) 4. Dr. Galina V. Kutergina, Dr. Natalia F. Frolova (Department of Information Systems and Mathematical Methods in Economics, Perm State University, Perm, Russia) | 1. Opening season of seminars 2. Hybrid models in economic dynamics problems 3. Numerical Modeling of Atmospheric Boundary Layer Flow over Forest Canopy 4. The Support System of Risk Management in Regional Industrial Complexes — Abstracts to the Workshop in Ariel University Center of Samaria, Ariel, Israel November 23, 2011 Hybrid models in economic dynamics problems Alexey L. Chadov, Department of Information Systems and Mathematical Methods in Economics, Perm State University, 614990, Perm, Bukirev Str., 15 Dynamic models under consideration, formally speaking, are concrete realizations of the so-called abstract functional differential equation (AFDE). On the other hand, they are typical ones met with in mathematical modeling economic dynamic processes and cover many kinds of dynamic models with aftereffect (integro-differential, delayed differential, differential difference, difference) and impulsive perturbations resulting in system’s state jumps at prescribed time moments. The equations of the system contain simultaneously terms depending on continuous time and discrete time typical for econometric models, this is why the term “hybrid” seems to be suitable. We are concerned with the representation of general solution to the system, give the setting of the general linear boundary value problem for the hybrid model as a problem of the attainability with respect to given values of main indexes of development. The control problem is set up and considered then. Conditions for the solvability of the problems are obtained. Questions of computer-aided techniques for studying these problems are discussed. Key words: economic dynamic models, hybrid models, boundary value problems, control problems, computer experiment Numerical Modeling of Atmospheric Boundary Layer Flow over Forest Canopy Konstantin A. Gavrilov, Department of Information Systems and Mathematical Methods in Economics, Perm State University, 614990, Perm, Bukirev Str., 15 The report is dedicated to the investigation of the interaction between an Atmospheric Boundary Layer and a canopy (representing a forest cover). We have focused our attention to the complex problem of the generation and transformation of turbulent vortices over homogeneous, heterogeneous and sparse canopy. This problem corresponds to the Computational Fluid Dynamics research domain. The problem has been studied using Large Eddy Simulation approach and High Performance Computing technique. The numerical results reproduced correctly all the main characteristics of this flow, as reported in the literature: the formation of a first generation of coherent structures aligned transversally with the wind flow direction, the reorganization and the deformation of these vortex tubes into horse-shoe structures. The results obtained with the introduction of a discontinuity in the canopy (reproducing a clearing or a fuel break in a forest) are compared with the experimental data collected in a wind tunnel. In this case, the results confirmed the existence of a strong turbulence activity inside the canopy at a distance equal to 8 times the height of the canopy, referenced in the literature as the Enhance Gust Zone (EGZ) characterized by a local peak of the skewness factor. Then, the process of passive scalar transport from a forest canopy into a clear atmosphere is studied for two cases, i.e., when the concentration held by the forest canopy is either constant or variable. While this difference has little influence on the concentration patterns, results show that it has an important influence on the concentration magnitude as well as on the dynamics of the total concentration in the atmosphere. The Support System of Risk Management in Regional Industrial Complexes. Galina V. Kutergina, Natalia V. Frolova, Department of Information Systems and Mathematical Methods in Economics, Perm State University, 614990, Perm, Bukirev Str., 15The report deals with the current state of the problem and typical lacks of control systems of risk management. The reasons not allowing to realize effective control systems of risk management in large industrial complexes are also investigated. The approach of creation of information and analytical systems of support risk-focused management is described. |