The temperature distribution over the sample volume and the efficiency of the ablation are dependent on the spot size both explicitly and implicitly. A set of processes in the interaction of intensive continuous laser radiation with UKKM causes oscillations with non-linear feedback (self-oscillations) in the bulk and on a surface of the investigated samples. Estimation of the absorptivity of a constructive material for unknown ablation plume losses during laser ablation.
Analysis of the size and number of microparticles in the ablation plume, which attenuate laser radiation during ablation of a constructive material. THE NUMERICAL MODELING OF ADAPTIVE OPTICAL SYSTEM OF UFL-2M POWERFUL LASER FACILITY AT DIFFERENT CONFIGURATION. The numerical simulation of the laser beam propagation in the 4-pass optical scheme of the amplifier section of the UFL-2M powerful laser facility is carried out in the presence of aberrations in the optical channel.
THE NUMERICAL SIMULATION OF THE AUTOMATIC ALIGNMENT PROCEDURE OF AMPLIFIER SECTION OF THE UFL-2M POWER LASER. The numerical simulation of the automatic alignment procedure of the 4-pass amplifier section of the UFL-2M facility is performed in the presence of deviations in the optical channel. During the deposition process, the focus of the laser spot on the target was manually adjusted.
Therefore, it is essential to measure the field at different points of the aperture simultaneously for determining the actual field mode.
МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ MATHEMATICAL MODELING
In some calculations, the heating was turned off with subsequent monitoring of the film behavior. The modeling results show the formation of the acceleration channel and acceleration of jet plasma up to 1/5 luminal speed and conform to the available observational data. The results show that instability leads to the extraction of the angular momentum on the periphery of the disc and the accretion onto a star.
This is because such an approach faces serious problems for interaction potentials of infinite radius of action. Its key idea is the approximation of the nonlinear LFP equations by Boltzmann equations of quasi-Maxwell type. It takes into account the effects of the non-equilibrium part of the pressure of the collectivized electron subsystem.
Solution of the time-dependent spatially uniform nonlinear collision kinetic equation in the course of heating is studied numerically. To describe the non-equilibrium heating of the semiconductor and dynamics of fast phase transitions in metallic silicon, a two-temperature hydrodynamic model was used. Time profiles of the temperature on the target surface and the velocity of the melting front are shown in Fig.
According to the results of molecular dynamics, modeling constructed the dependence speed of the interface solid-liquid from value of overheating/hypothermia in aluminum. Determine the fitting coefficients, which allow to use the dependence of the velocity of the solid-liquid front on the value of overheating/hypothermia received from the kinetic performances. For each material there is a maximum superheat temperature of the solid phase, after which the volume (homogeneous) melting begins.
The equation of state (EOS) of matter in a wide range of the phase diagram is necessary for numerical simulations of laser-plasma processes. Fortov, “Special characteristics of the behavior of targets under negative pressures created by a picosecond laser pulse”, Quantum Electronics. The 2D code RZLINE [3] was used to describe the dynamics of the plasma after the main laser pulse on the fragmented target, which includes refraction, reflection and absorption of laser radiation, time-dependent ionization, electronic and ion conduction, spectral transport of non-equilibrium radiation, and so on. forward.
The numerical results confirm the claim of the possibility of T-layer emergence and evolution due to the corresponding process that initiates temperature rise caused by Joule heating release. Within the MMD algorithm, the interactions between gas particles are described by the Lennard-Jones potential, which is determined by the properties of the mixture components and their thermal conditions.
ВЫЧИСЛИТЕЛЬНАЯ МАТЕМАТИКА COMPUTATIONAL MATHEMATICS
V. BRESLAVSKII
In this paper, we introduce the idea of composition hyperring. We show that the compositional structure of a compositional hyperring is determined by a class of its strong multi-endomorphisms. Finally, the three isomorphism theorems of ring theory are derived in the context of compositional hyperrings. We give a proof that positive harmonic functions in the upper half plane do not increase the hyperbolic metric.
Heat treatment of the surface of the material with a laser process allows obtaining working surfaces of tools with high hardness characteristics due to high heating and cooling rates, as well as the ability to process hard surfaces of parts and the absence of workpiece deformations. Particularly effective laser treatment of amorphous pyrolytic coatings leads not only to the formation of hard carbides, but also to the formation of a chemical bond (sintering) to the substrate material, which significantly increases the adhesion of the coating. The characteristics of laser processing that must be taken into account in the simulation are high temperature gradients, changes in the thermal properties of materials, as well as diffusion processes that lead to the formation of local stable chemical compounds.
Standard sampling methods and solutions of difference equations in these cases often lead to an approximate oscillatory solution that does not satisfy the actual behavior of the system. The problem is the two-dimensional treatment of the surface as a pattern to determine the depth and width of the heat action zone (HAZ). The developed method was named strings, because its distinguishing feature is the presentation of the solution to the problem as a set of strings, similar to a tennis racket, each of which is written the law of conservation of energy and Fourier's law, which relates . heat flux with temperature.
Полученная система интегральных уравнений может быть быстро применена к сходящимся итерационным процедурам, что позволяет рассчитывать температурное поле в двумерном и трехмерном случаях [1-3]. Светушков, «Возможности компьютерного моделирования технологических процессов термообработки», Труды МАИ, № 58 (www.mai.ru/science/trumy/), Москва (2012). Тема и цель этой статьи — проиллюстрировать, как Wolfram Mathematica 9 с помощью среды символьного программирования может использоваться для моделирования вероятностных задач.
Apart from the general discussion of its uses, several examples of Mathematica's application will be shown. The examples will explain Markov chains and queues whose symbolic representation in this software makes visualization of the process, simulation process path and calculation the stationary distribution much easier. Hervé, "Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness" Springer-Verlag Berlin Heidelberg (2001) 2.
МАТЕМАТИЧЕСКИЕ МОДЕЛИ И МОДЕЛИРОВАНИЕ В ПЕРЕДОВЫХ НАУЧНЫХ ТЕХНОЛОГИЯХ
MATHEMATICAL MODELS AND MODELING IN ADVANCED SCIENCE TECHNOLOGIES
Changing inflation is one of the major external factors affecting the cash flow of projects. In this paper, we examine the actual efficiency of long-term and short-term projects in different inflation rates. Inflation is taken into account by observations over a long period of time, the Federal State Statistics Service.
1] Project performance is evaluated on such parameters as the real return, taking into account the time structure of the projects, loss of profits, the real present value, the probability of favorable market conditions. To calculate the actual performance indicators used by the annual inflation rate J(t) in the years Figure 1). A qualitative evaluation of the effectiveness of the investment, taking into account the economic situation and the alternatives, is essential to make an investment decision for or against the project.
The problem of determining the return on the project for reuse of income from the investment in the same project. To study the return on an investment project, allowing feedback in the scheme of investment flows, indicators such as the marginal return on the project, the net present value and the increase in income on a set of opportunity costs are used. 1 shows the change in the series of opportunity costs, the net present value of the project, with reinvestment of income and without reinvestment.
Morphological and productive characteristics, number of leaves per plant, average leaf length, average leaf width and leaf mass per amaranth plant, was investigated. A mathematical model was developed, by the application of which, in a short time and in a simple way, it was possible to predict the leaf mass of all ten genotypes of introduced species of the genus Amaranthus L. Das, Systematics and taxonomic delimitation of vegetables, cereals and weeds 254 amaranths: a morphological and biochemical approach., Genet Resour Crop Evol.
Daloz, Amaranthi as Leaf Horticultural Observation of Vegetables in a Temperature Climate, Proceedings of the Second Amaranth Conference, Rodale Press.
