Сборник посвящен памяти известного российского ученого, заслуженного деятеля науки и техники Российской Федерации, инженера-полковника В. Д. Степаненко. В сборник включены статьи авторов целого ряда научных центров, единомышленников и коллег, в течение многих лет работавших с этим замечательным ученым и человеком. Наряду с оригинальными исследованиями последних лет в сборнике дан обобщенный обзор многолетних теоретических исследований и натурных наблюдений. Представленные статьи охватывают широкий круг проблем радиометеорологии и вопросов применения средств и методов метеорологической радиолокации в задачах изучения физики атмосферы и, прежде всего, атмосферного электричества. Отдельные работы отражают применение радиолокационных средств для зондирования атмосферы с борта ИСЗ.

The paper considers algorithms of automatic identification of vortex structures arising in a deformed solid. The initial vector fields characterizing the deformation of a solid are obtained by the digital image correlation method. Circulation and a functional related to vector and radius vector orthogonality are proposed for use as vortex identification criteria. The application of these criteria is considered on the example of model vector fields with rotational and irrotational vortices. The operation of the algorithms is exemplified by displacement fields for material flow in a silicon-manganese steel weld. The role of finite sizes of a sliding window is demonstrated. Additional criteria to assist vortex structure identification are proposed.

We study the problem of wear of a rotationally symmetric profile subjected to oscillations with small amplitude. Under these conditions, sliding occurs at the boundary of the contact area while the inner parts of the contact area may still stick. In a recent paper, Dimaki with colleagues proposed a numerically exact simulation procedure based on the method of dimensionality reduction (MDR). This drastically reduced the simulation time compared with conventional finite element simulations. The proposed simulation procedure requires carrying out the direct and the inverse MDR transformations in each time step. This is the main time consuming operation in the proposed method. However, solutions obtained with this method showed a remarkable simplicity of the development of wear profiles in the MDR space. In the present paper, we utilize these results to formulate an approximate model, in which the wear is simulated directly in the one-dimensional space without using integral transformations. This speeds up the simulations of wear by further several orders of magnitude.