Mathematical Model For Computation Research Articles

Computer simulation of heat transfer processes in aircraft landing gear braking mechanisms

Landing gear brakes – multi-disc brakes, as the responsible mechanism of the aircraft, must have the lowest possible weight and dimensions, high performance, increased service life and reduced life cycle cost. Solving these problems will reduce the design and development cycle of multi-disc chassis brakes. To perform the calculations, a computer mathematical model based on the use of the finite element method is proposed, replacing the classical version of the calculation based on currently used mathematical models, taking into account the heating of the aircraft landing gear braking mechanism, which will increase the speed, accuracy of calculations and reduce their labor intensity. We have developed a computer mathematical model of heat transfer processes occurring in the friction elements of multi-disc landing gear braking systems at the second stage of landing using the COMSOL Multiphysics program. Based on the calculations performed using this model, it is possible to take into account the influence of various system parameters such as the number of friction disks, their diameter and thickness, the medium in the interstitial space, the size of the solver grid on the maximum heating temperature of the brake mechanism, the cooling rate, the calculation time and the calculation error. On the basis of the obtained experimental data, we can conclude about the preferable construction of the brake mechanism. For example, it is possible to produce friction plates, steel with application to the surface of the composite friction material, allowing it to maintain the necessary friction and thus reduce the dimensions and maximum temperature, wet-disc brakes. The results of this work can be applied not only in the aviation industry, but can also be used to calculate the mechanisms of multi-disc oil-loaded brakes, which are used in agricultural, forestry, construction, quarry and other special equipment. In future work, the developed model will allow carrying out calculations taking into account the changes of material properties depending on temperature, refining the geometry of the brake mechanism, taking into account periods of reverse thrust engines and aerodynamic brakes.

Cost Estimate for Exploration of Oil and Gas Fields in the Arctic Zone

In the paper, the oil and gas exploration methods and technologies have been compared. It is noted that the use of modern computer technologies and mathematical models ensure progress in the search and exploration of hydrocarbons. Contact and remote exploration methods and technologies have been outlined. Among contact ones, the field and analytical methods have been compared, and among remote ones, geomorphological and structurometric techniques and computer geodynamic simulation (CGDS) developed by the authors have been successively analyzed. Based on expert analysis, it has been concluded that remote-sensing methods are significantly cheaper (3-10 times). Geomorphological and structurometric remote-sensing methods are based on GPS images, i.e. they use the ‘top view’ technology. On the contrary, the CGDS technique implements the ‘view from inside’ technology based on a system of geodynamic models. It does not require preliminary fieldwork, and its application may be focused on poorly developed, complex areas such as the Arctic zone.

Preface

2020 7th International Conference on Computer-Aided Design, Manufacturing, Modeling and Simulation (CDMMS 2020) This proceeding is a collection of invited contributions from the presenters and the participants of the 2020 7th International Conference on Computer-Aided Design, Manufacturing, Modeling and Simulation (CDMMS 2020), held in Busan, South Korea during November 14-15, 2020. CDMMS 2020 is an annual conference co-organized by Central South University (China) and Pukyong National University (South Korea). The aim of this conference is to present the latest research and results of scientists related to computer-aided design, advanced manufacturing, modeling and simulation topics. CDMMS 2020 provides opportunities for the different areas delegates to exchange new ideas and application experiences face to face, to establish business or research relations and to find global partners for future collaboration. We hope that the conference results constituted significant contribution to the knowledge in these scientific fields.Due to the Covid-19 pandemic, CDMMS 2020 was organized virtually by using a combination of Zoom, WeChat and Google Meet. And we offered the opportunity to all the global researchers to share their view through digital platform without any restrictions. Distinguished researchers from South Korea, China, India and Hong Kong (China) were invited to deliver keynote address regarding the latest research discoveries in their respective areas of expertise. Each presentation made by authors was confined in 20 minutes, following by questions and answers. We hope that all the participants will get large opportunities to widen their knowledge and network.This volume compiled more than 300 papers in the areas of applied physics in manufacturing, algorithm design and computational science, mathematical modeling and simulation. All accepted papers were subject to peer-review by conference committee and invited reviewers. The papers were selected based on their quality and their relevance to the conference. We would like to thank the reviewers for their valuable time and advice which helped in improving the quality of the papers selected for presentation at the conference and for publication in the proceedings.Warm regards,Conference Organizing ChairBusan, South Korea

Analysis of Thermal Characteristics of Airborne Integrated Environmental Control System

Taking the simplified airborne integrated thermal management system as the research object, the change characteristics of the system under different control modes are analyzed, which provides a theoretical basis for the study of system control schemes. Using a combination of mathematical models and computer models to establish an integrated airborne thermal management system model with fuel as the main heat sink, air/fuel heat exchanger, fuel/PAO heat exchanger and other main components, and A fuzzy self-tuning PID control method is proposed to analyze system characteristics such as fuel/PAO heat exchanger and electronic equipment thermal changes. The results show that compared to open-loop control under thermal extreme conditions, the fuzzy self-tuning PID control mode can not only effectively control a series of equipment such as fuel pumps to maintain proper speed, but also ensure the electronic cabin and fuel/PAO heat exchanger the outlet temperature is kept within a predetermined range to meet the design requirements of the onboard thermal management system.

Research on the Application of Computer Technology in Economic Analysis Combined with Higher Mathematics Modeling

In recent years, the development of science and technology in China rapidly, as has the development of computer technology. Therefore, in the economic and management process, the application of computer technology and mathematical knowledge has become more extensive and in-depth. In the process of solving many economic problems, it is necessary to apply computer technology and mathematical models to ensure the scientific nature of decision-making. Computer technology and higher mathematics are widely used in various fields in our country, and corresponding achievements have also been made. In economic analysis of our country, it mainly provides an important guarantee for economic analysis modeling, thereby effectively improving the quality and efficiency of economic analysis. This article mainly analyzes the influence and function of computer technology combined with higher mathematical modeling in financial and economic analysis, and discusses its application in economic analysis[1]. The knowledge of higher mathematics is rich, including not only probability theory and calculus, but also linear mathematics. Due to the needs of the industry, each part of knowledge plays an important role in each industry. Especially the application in economic analysis can effectively improve the efficiency of economic analysis. In many applications, higher mathematics is transformed into other knowledge to provide corresponding services for economic construction[2-3].

Biological computation and computational biology: survey, challenges, and discussion

Biological computation involves the design and development of computational techniques inspired by natural biota. On the other hand, computational biology involves the development and application of computational techniques to study biological systems. We present a comprehensive review showcasing how biology and computer science can guide and benefit each other, resulting in improved understanding of biological processes and at the same time advances in the design of algorithms. Unfortunately, integration between biology and computer science is often challenging, especially due to the cultural idiosyncrasies of these two communities. In this study, we aim at highlighting how nature has inspired the development of various algorithms and techniques in computer science, and how computational techniques and mathematical modeling have helped to better understand various fields in biology. We identified existing gaps between biological computation and computational biology and advocate for bridging this gap between “wet” and “dry” research.

Strategies for the treatment of breast cancer: from classical drugs to mathematical models.

Breast cancer is one of the most common cancers and generally affects women. It is a heterogeneous disease that presents different entities, different biological characteristics, and differentiated clinical behaviors. With this in mind, this literature review had as its main objective to analyze the path taken from the simple use of classical drugs to the application of mathematical models, which through the many ongoing studies, have been considered as one of the reliable strategies, explaining the reasons why chemotherapy is not always successful. Besides, the most commonly mentioned strategies are immunotherapy, which includes techniques and therapies such as the use of antibodies, cytokines, antitumor vaccines, oncolytic and genomic viruses, among others, and nanoparticles, including metallic, magnetic, polymeric, liposome, dendrimer, micelle, and others, as well as drug reuse, which is a process by which new therapeutic indications are found for existing and approved drugs. The most commonly used pharmacological categories are cardiac, antiparasitic, anthelmintic, antiviral, antibiotic, and others. For the efficient development of reused drugs, there must be a process of exchange of purposes, methods, and information already available, and for their better understanding, computational mathematical models are then used, of which the methods of blind search or screening, based on the target, knowledge, signature, pathway or network and the mechanism to which it is directed, stand out. To conclude it should be noted that these different strategies can be applied alone or in combination with each other always to improve breast cancer treatment.

Cost analysis of amazon web services – From an eye of architect and developer

The basic concept to use any cloud platform is to reduce the overall cost involved in the development, maintenance, and required infrastructure as per the need. However, in case we are not wary of the basic principles behind the usage of the cloud platform, the cost advantage goes haywire and organizations failed to realize the benefits of services available on the cloud platform. An attempt is made in this paper to conceptualize mathematical model for cost computation and to bring many other hidden attributes which may play a very significant role in determining the overall cost. To parameterize the AWS Costing, in this endeavor four factors are considered to build the mathematical model to arrive at a high-level cost of using a cloud platform.

Digital Mapping of Soil Associations and Eroded Soils (Prokhorovskii District, Belgorod Oblast)

A new method of digital mapping of the soil cover pattern with calculation of the share of soils of different taxa and degree classes for soil erosion in the soil associations is proposed. A comparative analysis of soil maps obtained using different methods of construction (visual expert and digital) and with their different contents (displaying the dominant soil or soil associations) has been performed. In the case of mapping by the visual expert method (with the display of the dominant soil), a significant underestimation of the total area of moderately and strongly eroded soils in comparison with the digital mapping is noted. These differences are due to the underestimation of the area of small polygons with moderately and strongly eroded soils in the composition of soil associations on slopes of low steepness and in shallow hollows in the visual expert method of mapping. When the content of digital maps is generalized from soil associations to dominant soil categories, a significant change in information on the degree of soil degradation by erosion is also noted. Comparison of visual expert and digital methods for mapping soils of different taxa indicates a high degree of compliance between the spatial location and area of soil delineations with similar component content in both cases. The greatest differences between the soil maps created by these methods are noted for the soils with periodic overmoistening, namely, meadow-chernozemic (Luvic Chernic Phaeozem (Oxyaquic)) and chernozemic-meadow (Luvic Stagnic Chernic Phaeozem) soils because of the poor consideration for microtopography in traditional mapping. In general, it can be concluded that the creation of a digital map is more difficult in terms of the need to use specialized computer programs and mathematical models. However, the resulting digital databases contain information of a higher level of detail than traditional soil maps.

Computational mathematical techniques model for investment strategies

Computational mathematical techniques model for investment strategies

International Conference «Marchuk Scientific Readings 2020» (MSR-2020), dedicated to the 95th anniversary of the birthday of Academician Guri I. Marchuk

PrefaceThese Conference Proceedings contain the selected papers of the International Conference «Marchuk Scientific Readings 2020» (MSR-2020) held on October 19 - 23, 2020, in Akademgorodok, Novosibirsk, Russia.The conference is dedicated to the 95th anniversary of the birthday of Academician Guri I. Marchuk. He was the founder and the first Director of the Computer Centre of the Siberian Branch of the USSR Academy of Sciences (currently, the Institute of Computational Mathematics and Mathematical Geophysics SB RAS). In different periods, he was the Chairman of the Siberian Branch of the USSR Academy of Sciences, Chairman of the USSR State Committee for Science and Technology, the last President of the USSR Academy of Sciences, Chairman of the Council of the USSR Academy of Sciences for Space. Hero of Socialist Labour and Lenin Prize winner, Academician Guri I. Marchuk was an outstanding scientist, recognized specialist in computational mathematics and mathematical modelling, nuclear reactor theory, atmospheric physics and geophysics, space, and environmental sciences, medicine, and immunology. He authored more than 350 scientific papers and monographs.Academician Marchuk was a distinguished organizer of science. He created a huge scientific school and was actively working on the introduction of scientific achievements to industry. Guri I. Marchuk made a significant contribution to the development of nuclear reactor technology. He was one of the pioneers of space exploration, the organizer of the international project “World ocean”, international systems for remote sensing of the Earth from space and space station flights to Venus.The purpose of the «Marchuk Scientific Readings» conference series is to gather specialists in numerical analysis, applied mathematics, mathematical modelling, computational technologies, information systems, artificial intelligence, and machine learning to discuss, identify and systematize current results, applications, and promising directions in computational mathematics and computer science.The conference program included 31 plenary, 298 oral, and 46 poster presentations. They were presented in 11 sections and two mini-symposia.The conference sections were:• Numerical solution of differential and integral equations• Computational algebra and approximation methods• Numerical statistical modeling and Monte-Carlo methods• Mathematical geophysics• Mathematical models of atmospheric physics, ocean and environment• Programming• Supercomputer computations• Inverse problems• Informational and computational systems• Machine learning and artificial intelligence methods• Computer biology, medicine and biotechnologyTwo mini-symposia were held:• Computational geosciences across the scales• Particle-based methods: numerical aspects and modern applicationsAll contributions selected for publication in this volume have been peer-reviewed according to rigorous international standards. We are grateful to the reviewers for maintaining the manuscripts’ standards and quality throughout the reviewing process. However, the authors take full responsibility for the content of their papers.The event was organized by the Institute of Computational Mathematics and Mathematical Geophysics SB RAS and Novosibirsk State University. It was supported by the Russian Foundation for Basic Research (under project 20-01-20025) and the Siberian Branch of the Russian Academy of Sciences. We gratefully acknowledge all our sponsors.EditorsCorresponding Member of the RAS Gennady A. MikhailovCorresponding Member of the RAS Sergey I. KabanikhinProfessor Yurii M. LaevskiiProfessor Vladimir V. PenenkoProfessor Boris M. GlinskyPh.D. Alexey V. Penenko

Low speed performance based standards for the Nordic countries

Performance based standards (PBS) is an effective regulator policy which can address variation complexity in vehicle combinations. This paper investigates aspects of using computer simulation and mathematical models to assess the performance of vehicle combinations in low speed manoeuvring, and in particular roundabouts. A set of 22 vehicle combinations, including existing conventional heavy vehicles as well as prospective high capacity vehicles, is used to study the effects of turn angle and road surface conditions on the friction demand and swept path measures. Simulation results suggest that the friction demand measure is dependent on the available grip. This makes it hard to interpret and may not be suitable in the PBS framework. The swept path measure is relatively unaffected by friction levels, and can hence be calculated with simple and robust expressions not considering the road interaction. However, turn angle affects the swept path measure considerably, and should be addressed when designing the PBS scheme implementation into the legislations.

Математическая модель управления спросом на каршеринг

A significant increase of carsharing service in Russia and worldwide has led to need a formal description of the process orders fulfilling on the service. The paper presents a mathematical model for computation the distance between customers and free car, which is built on the basis of the "nearest neighbor-method. A model of demand generation is proposed. The demand depends on the potential number of customers and the probability of finding a car in the area of walking distance. The number of free cars is described as stochastic process, which is based on a birth and death process. The death intensity in the process depends on the probability of finding a car. The estimation of the average number of free cars, their average load and the probability of finding a free car in the walking distance are obtained. The combination of the presented models allows to assess the impact of the number of carsharing vehicles on demand. In particular, a numerical example shows that an increase in the carsheribg fleet can lead to increaseasing in the cars average load. Thus, we can conclude that a larger car-sharing project can be cost-effective only if the carsharing service consists of a large fleet of vehicles, i.e. the service contains a high density of free cars.

Retracted] Computer Mathematical Modeling Based on the Improved Genetic Algorithm and Mobile Computing

In order to change the problem of data redundancy in a genetic algorithm, this paper proposes a computer mathematical model based on the combination of an improved genetic algorithm and mobile computing. Combined with the least square method, MATLAB software is used to solve the equations, determine the range of parameters, and solve the estimation parameter range and identification problems. The improved genetic algorithm combined with mobile computing and least square method to establish a mathematical model greatly increased the individual search space and increased the operation rate of 90% compared to the basic genetic algorithm or mobile computing. The results show that the improved genetic algorithm and mobile computing have a certain ability to identify the optimal solution and greatly improve the work efficiency.

Видеоанализ биомеханики позвоночника как объективный метод функциональной диагностики

The present scientific review of medical and technical literature presents the attempt to assess modern technological stage of spine biomechanical hardware diagnostics in terms of its objectivity, as well as diagnostic and prognostic value on the example of etiopathogenesis analysis of spine degenerative-dystrophic diseases. A set of structural and extra vertebral factors contributing to the onset and progression of spine degenerative-dystrophic diseases was identifi ed to determine diagnostic and prognostic value studying particular literature sources, which use empirical and mathematical research methods. Central indicator value of intersegmental compression-distractive kinetics and loads shift s related to these factors was also determined. When considering the objectivity of spine biomechanics video analysis, the reliability of kinetics and spinal motion segments kinematics was separately assessed. Furthermore, impropriety of the latter was established in terms of reliability and repeatability of diagnostic results. Only vertical force indicator is valid in kinetics, reflecting intersegmental compression load, due to the sufficient objectivity and weak dependence of its values on the type of computer mathematical models used by commercial systems of video motion analysis. Walking is optimal motional act for calculating vertical force by modern optoelectronic soft ware and hardware systems.

Applying Graph Theory and Mathematical-Computational Modelling to Study a Neurophysiological Circuit

The aim of the present study is to contribute to the knowledge about the functioning of the neuronal circuits. We built a mathematical-computational model using graph theory for a complex neurophysiological circuit consisting of a reverberating neuronal circuit and a parallel neuronal circuit, which could be coupled. Implementing our model in C++ and applying neurophysiological values found in the literature, we studied the discharge pattern of the reverberant circuit and the parallel circuit separately for the same input signal pattern, examining the influence of the refractory period and the synaptic delay on the respective output signal patterns. Then, the same study was performed for the complete circuit, in which the two circuits were coupled, and the parallel circuit could then influence the functioning of the reverberant. The results showed that the refractory period played an important role in forming the pattern of the output spectrum of a reverberating circuit. The inhibitory action of the parallel circuit was able to regulate the reverberation frequency, suggesting that parallel circuits may be involved in the control of reverberation circuits related to motive activities underlying precision tasks and perhaps underlying neural work processes and immediate memories.

Experimental study of pipeline movements in permafrost soils

In article present the developed methodology will allow monitoring pipeline displacements under changes in operating conditions, as well as simulating unfavorable processes (thawing of soil, formation of taliks, violation of thermal insulation). The planning of the experiment was carried out to obtain the calculated mechanical characteristics of the soil, depending on the temperature and humidity, used to calculate the stress-strain state of the pipeline. A mathematical computer model has been developed to determine the radius and temperature field of the thawing halo around the pipeline. A template for displaying experimental data for their use in the finite element analysis of pipeline displacements during soil thawing is presented.

The inheritance and creative design of traditional color scheme based on modern consumer's psychological perception: Taking Chinese traditional decorative pattern's color collocation as an example

AbstractColor in traditional decorative patterns is one of the most important characteristics that can not only be easily identified, but also be taken as a specific symbol of one country or nation. As most of the traditional color schemes are based on ancient aesthetics and wisdom, in order to make them more in line with the aesthetic cognition of modern consumers, an innovation of traditional color schemes is very necessary. This article conducted an experiment to test modern consumers' psychological perception towards different traditional color combinations based on PAD three‐dimensional model and SAM measurement scale. Then the computer image recognition technology and mathematical modeling were applied to establish the relationship between different psychological perceptions and traditional color schemes to guide further design. It was found that some colors have a positive effect on consumers' preference, while some others can reduce consumers' preference; certain color combinations convey feelings of joy or warmth; the appropriate use of high saturation and moderate value colors have more attractions for consumers. Based on the results, new combination schemes for traditional colors were presented, so as to realize the creative design of traditional colors based on the psychological perception of modern consumers.

Some peculiarities of the polarization structure of the electromagnetic field at high frequencies in geological sections: mathematical solutions and experiments

The effects of induced polarization (IP) in the ore bodies and host rocks in the frequencies above 1 000 000 Hz were considered. The phase response of the complex resistivity (CR) system equipment Geozond have been explored instrumentally. The reliability of high-frequency IP measurements was confirmed by independent verification by mining activities. The results confirm the presence of IP effects in the ore bodies and host rocks. They suggest the necessity to account for IP effects in the interpretation of electromagnetic data, in particular, in induction logging data. The purpose of mathematical computer modeling in this work was to study the propagation of a high frequency electromagnetic field from a linear current source in a material medium by solving Maxwell's equations using finite-difference approximations (iterations) in the time domain. The measurement results were processed according to a well-known scheme, using the method of iterative selection in automatic mode. This allows to use this method for end-to-end calculation of electromagnetic fields in complex three-dimensional inhomogeneous structures.

RETRACTED: Identification of microbial pollution sources in high-humidity buildings based on deep learning and image particle recognition

The presence of microorganisms in the air poses challenges to the hospital's control, commercial Indoor Air Quality (IAQ), and residential building projects. This work analyzes microbial control agencies for power generation, transmission, and air and proposes engineering control methods for ventilation commonly used to control microbial contamination of indoor air. Mathematical computational models of building ventilation systems are used to study microbial contamination control. Alone, the encompassing first-individual picture can be semantically connected with comparative circumstances before, individual chronicle space, and social design representation. All in all, first-individual recordings permit you to follow regular interests and connections to gatherings of people. It learns to use FPGAs to capture the egocentrism and visual implications of future orbital motor groups. Based on Deep Neural Network (DNN), deep learning architectures have successfully image recognition tasks of microbial particles. These architectures use a cascade of convolutional layers and activation functions. The number of layers for training, the number of neurons in each layer, the selection of activation functions, and the setting of optimization algorithms are significant. DNNs have been used to build cognitive feature extraction implementations and have been reported to achieve good results.