Master degree program
Mechanics and Energy

Mechanics and Energy

QUALIFICATION

  • Scientific and pedagogical direction - Master of Natural Sciences

MODEL OF GRADUATING STUDENT

After completion of this program, it is expected that undergraduates will be able to:
1. ON1 understand and evaluate the role of science in the development of society, describe current problems of mechanics, the main trends and current trends in the development of mechanics as a science;
2. ON2 formulate and solve modern practical problems of mechanics and power engineering, determining and assessing the practical significance of the problem being solved;
3. ON3 apply computer simulations for solving energy systems problems with the subsequent processing of the results and presenting a quantitative and qualitative evaluation of the processes occurring in studied problems;
4. ON4 apply numerical simulation to solve engineering problems, based on the fundamental laws of mechanics and thermodynamics and advanced numerical methods;
5. ON5 apply analytical, qualitative and numerical methods for solving applied problems of energy systems;
6. ON6 analyze and apply analytical and numerical methods used to study compressible flows;
7. ON7 analyze and apply analytical and numerical methods used to study multiphase flow including in porous media;
8. ON8 analyze and apply numerical methods and software to study reactive processes in energy systems;
9. ON9 plan and conduct research activities on the chosen scientific topic, starting with the competent formulation of the problem, determining the appropriate mathematical model, making a reasonable choice of methods for solving and completing with the interpretation of the results obtained and developing recommendations for solving the problem;
10. ON10 evaluate the interdisciplinarity of studied problems, explain the research results and the proposed recommendations to specialists and non-specialists, as well as reasonably defend their point of view, critically and benevolently assessing the opinions of the listeners;
11. ON11 demonstrate the ability of self-study and successful work in a team, identify and analyze further ways of professional development, assessing the limitations and requirements of society;
12. ON12 to carry out the teaching of special disciplines in universities and colleges, creatively applying the knowledge of pedagogy and psychology of higher education in pedagogical activity.

Program passport

Speciality Name
Mechanics and Energy
Speciality Code
7M05405
Faculty
Mechanics and Mathematics

disciplines

Applied Problems of Mechanics and Energy
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The aim of the discipline is to develop undergraduates system knowledge and professional competence in studying the applied problems of mechanics and energy by using software. As a result of studying the discipline, students will master to apply software for studying key phenomena and processes in applied problems of mechanics and energy.

Foreign Language (professional)
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose is to acquire and improve competencies by international standards of foreign language education and to communicate in an intercultural, professional, and scientific environment. A master's student must integrate new information, understand the organization of languages, interact in society, and defend his point of view.

History and Philosophy of Science
  • Number of credits - 3
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The course forms knowledge about the history and theory of science; on the laws of the development of science and the structure of scientific knowledge; about science as a profession and social institution; оn the methods of conducting scientific research; the role of science in the development of society.

Methods of Study of Compressible Fluids
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to study the basic physical properties of liquids and gases, the general laws and equations of statics, kinematics and the dynamics of liquids and gases; features of physical and mathematical modeling of flows of compressible fluid flows for a wide range of energy problems.

Modeling of Multiphase Flows (UL)
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the course is to teach undergraduates the fundamentals of multiphase flows for problems of mechanics and energy. Within the framework of the course, methods of analytical and numerical analysis, as well as experimental methods for studying multiphase flows (gas, solid and liquid) will be studied.

Numerical methods
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The aim of the discipline is to develop the skills of undergraduates in applying modern numerical methods of a high order of accuracy to solve problems in mechanics and energy, including in complex domain. As part of the course, undergraduates will learn to set up implementations of modern numerical methods for problems in mechanics and energy.

Organization and Planning of Scientific Research (in English)
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form the research culture of the future specialist, and to study the theoretical and methodological principles of organizing research activities in the context of the development of science and society. The discipline is aimed at developing the ability to conduct independent scientific research using methods and techniques of analysis, and information scientific resources.

Pedagogy of Higher Education
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - Purpose: To provide pedagogical theories and practical strategies for effective teaching in higher education, fostering critical thinking, and academic success. The course explores instructional methods, curriculum design, assessment techniques, and classroom management strategies preparing educators to create inclusive and stimulating learning environments.

Psychology of management
  • Number of credits - 3
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The course reveals the subject, the basic principles of management psychology, personality in managerial interactions, personal behavior management, psychology of managing group phenomena and processes, psychological characteristics of the leader's personality, individual management style, psychology of influence in management activities, conflict management.

Similarity and dimension methods in mechanics
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The aim of the discipline is to build knowledge and professional competence of students on the theory of similarity and dimension in mechanics. Will be studied: system of defining dimensionless parameters, dimension theory, similarity theory, dimension theory for different quantities, dimensional quantities, dimensionless quantities, basic units of measurement, derived units of measurement, dimension formula, similarity numbers, dynamic similarity, modeling of physical processes.

Thermodynamics of energy systems
  • Number of credits - 5
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The aim of the discipline is to consolidate the fundamentals of thermodynamics by students and the development of skills for their application to study of real thermodynamic processes. As part of the course, students will get acquainted with the physical foundations of thermodynamic processes, the basic concepts and laws of thermodynamics, and learn how to apply modern methods of analyzing thermodynamic processes to solve practical problems.

Data for 2021-2024 years

disciplines

Applies Problems of Flows in Porous Media
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form competencies in the theory of filtration and master the skills of solving applications for the extraction of metals by the method of underground well leaching. Course content: Basic concepts and governing equations of flows in porous media. Mass and momentum conservation laws for flows in a porous medium, Darcy's law. Derivation of differential equations of filtration. Flow of an incompressible fluid in a non-deformable porous medium. Applications for the technology of metal mining by the method of In-Situ leaching.

Computational methods for turbulent flows
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to build knowledge and professional competence in the field of computational methods for turbulent flows, to familiarize undergraduates with the basic principles of the theory of turbulent flows and methods of mathematical modeling of their main statistical characteristics.

Fluid Dynamics
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The aim of the discipline is to teach graduate students the mathematical interpretation of the fundamental laws of nature (the mass, energy, momentum, conservation laws etc.) to establish the patterns of fluid flow. The course covers the basic conservation laws of physical quantities, theoretical aspects for the rational choice of a fluid model for studying the necessary phenomenon, as well as an analysis of the choice of an appropriate method for solving the problem.

High Performance Computing for Energy Systems
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The discipline is aimed at the formation of knowledge and competencies that allow the use of high-performance implementations of known methods of computational mathematics, analysis and data processing for solving energy systems. Upon mastering the discipline, the undergraduate will know the theoretical aspects of parallelization of algorithms; implementation of multi-threaded calculations and calculations on GPU.

Mathematical Foundations of Engineering Problems Solution
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The aim of the discipline is to increase the mathematical literacy of master students and the formation of professional skills in applying existing knowledge to solve engineering problems. The course includes the introduction to basic mathematical models for describing engineering problems, methods for solving them, and using visualization and static analysis methods to process results to develop practical recommendations and conclusions.

Methods of solving reverse transfer problems
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of this discipline is to develop undergraduates the skills of processing experimental data, determining the patterns of the flow of processes according to the results of the study. As a result of training, undergraduates will be able to: 1. demonstrate a systematic understanding of the physical fundamentals of thermodynamic processes, and possess the skills to process experimental data; 2. to formulate the physical formulation of the problem, to determine the laws of the processes by processing the experimental data (for example, by the method of least squares, etc.); 3. to determine the optimal modes of operation of thermodynamic systems; 4. analyze the calculation results with subsequent recommendations in the scope of their application.

Modeling of Multiphase Processes
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the course is to teach undergraduates the fundamentals of multiphase flows for problems of mechanics and energy. Within the framework of the course, methods of analytical and numerical analysis, as well as experimental methods for studying multiphase flows (gas, solid and liquid) will be studied.

Modeling of Reacting Flows
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form students' knowledge and professional competence in the field of modeling reacting flows, in mastering the laws of hydrodynamics and basic methods for modeling reacting flows, to teach them to understand the basic equations and fundamental axioms, hypotheses and modern approaches in modeling chemically reacting flows, as well as to familiarize students with the main reacting currents with practical examples.

Modeling of thermodynamic systems (UL)
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The aim of the discipline is to master modern methods of studying the problems of mechanics and energy based on the principles of thermodynamics. As part of the course, undergraduates will master software packages for studying the physical foundations of thermodynamic processes to determine the optimal operating modes of thermodynamic systems.

Nanotechnologies
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The aim of the discipline is to for knowledge and professional competence in the field of nanotechnologies, is introducing the main principles of measuring, study, obtaining and modification of the structure with size of 0.1 – 100 nm, as well as fundamental knowledge for studying flows at the nanoscale.

Numerical analysis
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The aim of this discipline is to teach undergraduates modern methods of developing and applying methods of solving practical problems of mechanics and energy. Within the course, students will master in the classification of types of differential equations and the corresponding methods for solving them for real problems, as well as the analysis of numerical algorithms in terms of stability and convergence.

Software for Energy Problems
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The purpose of the discipline is to form professional competencies in the use of software packages for solving energy problems, including modeling the processes of heat and mass transfer, energy storage, as well as evaluating the performance of heat and power systems.

Turbulence and Combustion
  • Type of control - [RK1+MT+RK2+Exam] (100)
  • Description - The aim of the discipline is to develop undergraduates skills in the study of turbulent flows and the combustion process in energy systems. As a result, undergraduates will be able to: 1. demonstrate systemic knowledge in the field of turbulence and an understanding of the physical mechanisms of the combustion process in energy systems; 2. demonstrate the skills of asymptotic and numerical studies of turbulent flows; 3. to formulate, adapt and apply models for the study of reacting turbulent flows and combustion processes; 4. analyze the conditions for the explosion of combustible gases and safe operation of energy systems; 5. to calculate the thermal energy during combustion and overpressure during the explosion; 6. to analyze the calculation results with subsequent recommendations in the scope of their application.

Data for 2021-2024 years

INTERNSHIPS

Pedagogical
  • Type of control - Защита практики
  • Description - Aim оf discipline: formation of the ability to carry out educational activities in universities, to design the educational process and conduct certain types of training sessions using innovative educational technologies.

Research
  • Type of control - Защита практики
  • Description - The purpose of the practice: gaining experience in the study of an actual scientific problem, expand the professional knowledge gained in the learning process, and developing practical skills for conducting independent scientific work. The practice is aimed at developing the skills of research, analysis and application of economic knowledge.

Data for 2021-2024 years