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Electronic Course: Dynamics of Compressible Media


Dynamics of Compressible Media: Modern Electronic Course

Tech Area / Field

  • INF-IMA/High-Definition Imaging and Displays/Information and Communications
  • INF-SOF/Software/Information and Communications

3 Approved without Funding

Registration date

Leading Institute
VNIITF, Russia, Chelyabinsk reg., Snezhinsk

Supporting institutes

  • MIFI (Snezhinsk branch), Russia, Chelyabinsk reg., Snezhinsk


  • University of Cantabria, Spain, Santander\nUniversity of Illinois, USA, IL, Urbana\nUniversity of Manchester, UK, Manchester

Project summary

In recent years a remarkable great advance in development of computer facilities and programming aids has happened. In this connection it has become possible to effectively apply computer graphics, computational geometry and information technologies for complex fundamental and applied purposes. To increase the educational process effectiveness it is appropriate to enhance the traditional teaching methods with state-of-the-art resources for visual comprehension and active algorithmized representation of the studied material.

The aim of the Project is to elaborate a specialized electron-diffraction training course “Dynamics of compressible media” (DCM). *

Applying state-of-the-art potential of computer technology and programming aids enables to ensure active mastering of traditional material and new scientific results, encourages further study and independent researches.

The methodical basis of the Project implies a course of lectures, which were and are taught in SPTI (Snezhinsk Physical and Technical Institute) MEPI (Moscow Engineering and Physical Institute) and in Chelyabinsk State University by professors and lecturers of RFNC-VNIITF and SPTI MEPI.

The research basis of the Project implies the results of fundamental researches of RFNC-VNIITF and SPTI MEPI scientists, scientifically established and field-proven original techniques of numerical and analytical solutions, algorithms and methods of scientific visualization, developed in RFNC-VNIITF.

The practical basis of the Project implies five implemented original techniques of numerical simulation, software (S), developed in a laboratory for scientific visualization and in a laboratory for databases in RFNC-VNIITF, as well as the great experience of integration and scientific and applied team-work of scientists and specialists in software development. We note that with the numerical simulation techniques put within the course by the supposed implementation it would be possible to solve just the limited set of the problems specified in the course.

The main tasks of the Project:

1. Creating and compiling a text for the training course. The course will include more comprehensive sections on the following trends:

- The DCM main equations, their output, various representations and characteristics;
- Thermodynamic fundamentals and representations of media characteristics;
- Basic continuous solutions, characteristics and implementation;
- Solutions with discontinuities, their characteristics and methods of research;
- Various types of complex solutions;
- Flows with viscosity, turbulence, heat conductivity and diffusion;
- Limiting cases of weak compressibility – acoustic approximation and incompressible media;
- Media with tensor characteristics.

(The detailed content of the course is presented in Chapter 4 of Section 3).

2. Compiling and accumulating the database (DB) of the course:

- Approximate and numerical models, examples, problems, results, substance characteristics and equations of state;
- Illustrations;
- Supplemental information;
- References.

3. Development of logical prototype of electron-diffraction implementation of the course:

- Hypertext, graphical and algorithmized representation of the course materials.

4. Choice, development and optimization of the course software:

- A system of algorithms and methods for full-scale scientific visualization of the course;
- Dynamic visualization;
- Implementation and adaptation of numerical and analytical methods of solution for the training course;
- Creating a demo version of the course for Internet;
- Creating an opportunity of friendly interface on input and output data formats with MatLab, Maple, Origin packages.

5. Approbation of the course teaching in SPTI MEPI:

- Testing and correcting the training course according to the results of teaching it to students.

6. Compiling the Project component parts:

- The hypertext;
- The system of scientific visualization;
- The database;
- The system of examination;
- The demo version.

The main results of the Project:

1. An electronic version of the DCM training course (in Russian and in English);
2. A make-up page of the DCM training course monograph (in Russian and in English).

During the process of the Project implementation the following accompanying results being the components of the main results are expected:

1. Integrated software environment “ViST” for electronic implementation of the course;
2. The system of dynamic and static visualization;
3. The data base;
4. The system of examination;
5. Problem and solution book;
6. Demonstration of solutions with original numerical techniques and a set of analytical solutions;
7. The demo version of the course for Internet.

In RFNC-VNIITF and SPTI MEPI there exists a unique potential for creating a necessary versatile creative team of scientists and engineers for the given Project implementation.

Students from a chair of applied mathematics and physics of SPTI MEPI are supposed to take part in the Project implementation.

Teaching of the course is intended for study in an auditorium, equipped with appropriate hardware. A lecturer would present the material with the help of a system with a sensing screen and a laser pointer, and the audience would have a possibility to work with the material using personal computers at their desks. Inpidual work of students for profound study of the material is supposed as well. The course would include recommendations on widening and extending specific sections and chapters in a form of a catalogue of references to publications and Web-pages containing the referred information. The nominal course is intended for two semesters, at the same time the in-depth widening of the material up to four semesters is presented.

Results of works under the Project might become a basis for further development of the Project concept by the following trends:

— widening and complication of problem statement;
— consideration of a higher set of physical processes;
— widening and extension of sections and chapters;
— an opportunity of creating another tutorials on special sections;
— application of experience and the results of work under the Project for other application domains.

The Project answers the purpose of ISTC i.e. to give scientists and specialists, earlier engaged in weapons development, an opportunity to reorientate their knowledge and intellectual potential to peaceful purposes.

* - The neutral name “Dynamics of Compressible Media“ was chosen by the authors purposely to take into account the unstable terminology. The English literature often uses the notion “hydrodynamics“, and in the Russian literature – “gasdynamics” and “mechanics of continua”.


The International Science and Technology Center (ISTC) is an intergovernmental organization connecting scientists from Kazakhstan, Armenia, Tajikistan, Kyrgyzstan, and Georgia with their peers and research organizations in the EU, Japan, Republic of Korea, Norway and the United States.


ISTC facilitates international science projects and assists the global scientific and business community to source and engage with CIS and Georgian institutes that develop or possess an excellence of scientific know-how.

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