We use cookies.
By using the site, you agree to our Privacy Policy.

Laboratory for Inter-disciplinary Power Engineering Problems

Contract number
075-15-2021-584
Time span of the project
2021-2023
Head of the laboratory

As of 01.12.2023

42
Number of staff members
63
scientific publications
12
Objects of intellectual property
General information

Name of the project: 

Development of methods of applied mathematics to solve inter-disciplinary problems of of environmentally friendly power generation from municipal and industrial waste

Goals and objectives

Goals of project:

The creation of a world-class scientific laboratory and the development of efficient methods of applied mathematics for the solution of inter-disciplinary problems of environmentally friendly power generation from urban and industrial waste, including the machine-based search for breakthrough technological solutions, the development, research and optimisation of their digital twins

The practical value of the study

Scientific results:

  1. The concept of a platform of models and methods for creating trainable digital twins of clean energy technologies, the analytical core of which is based on the joint numerical solution of problems of non-stationary gas dynamics, heat and mass transfer and conversion of the working fluid in the combustion chamber, taking into account detailed chemical kinetics and a set of mutually influencing technological factors (including including heterogeneity and fluctuations in the composition of composite gas fuel based on landfill gases and intermediate products of energy waste recycling, the intensity of swirling of the fuel-air mixture, the form factors of the combustion chamber and the resulting reaction zones, factors of thermal and dynamic unsteadiness , including pulsations of heat release and pressure), and also contains a neural network add-on for machine learning based on the results of a series of computational experiments.
  2. Representative technological prototypes (solutions that have the potential for environmentally friendly energy waste disposal) for the creation and subsequent comprehensive study of their digital twins (patents for inventions and utility models No. 210008, 208401, 208400). The prospects for using twisting for ultra-poor people have been established fuel-air mixtures and composite gas fuels for the purpose of technological support for their low-emission sustainable combustion, for the implementation of which preliminary technical solutions and their structural description have been developed.
  3. Functionally selected methods of a multi-step structure with improved dispersion and dissipation properties for the efficient solution of emerging applied inverse problems of searching for initial values.
  4. A neural network method for obtaining Runge-Kutta pairs, tuned for scalar autonomous problems, as well as Runge-Kutta pairs “trained” to best solve problems with oscillating solution behavior.
  5. Self-similar solutions to problems of gas dynamics and heat transfer in weakly swirling jets, constructed on the basis of the asymptotic expansion of velocities and pressure in series in a small parameter, which, when used as an initial approximation in numerical calculations of reacting swirling jets, provide the opportunity to significantly reduce the cost of computer time for implementing a computational experiment with specified accuracy.
  6. Systematization and development of mathematical models of transfer and computational gas dynamics of a reacting working fluid with a variable pressure gradient, including swirling of the reacting jet, have been carried out in applications to the design of environmentally friendly fuel energy technologies. The prospects for using twists for ultra-poor people have been confirmed fuel-air mixtures and composite gas fuels for the purpose of technological support for their low-emission sustainable combustion, for the implementation of which preliminary technical solutions and their mathematical description have been developed.
  7. A kinetic equation is obtained that describes the process of wandering of a particle of an ultra-lean fuel mixture, taking into account the constant velocity of the particle, and fractional differential equations that describe the asymptotic behavior of the process. It is shown that in the case of finite and infinite mathematical expectation of paths, these equations have a completely different form. To solve the resulting equations, the local estimation method of the Monte Carlo method was applied and a solution algorithm was developed.
  8. The software implementation of mathematical models according to paragraphs . 3.1 and 3.2 with the creation of a problem-oriented software and information complex for studying, through a computational experiment, the kinetics and evolution of a dispersed cluster of a reacting working fluid in a combustion chamber. The complex implements an automated preprocessor for the ANSYS Fluent solver with the preparation of parameterized geometric, physical and initial conditions of unambiguity, as well as chemical kinetics data from the open C3M information base from NETL Multiphase Flow Science (https://mfix.netl.doe.gov/c3m/). In the process of creating a problem-oriented complex, exclusive rights to the results of intellectual activity arose and were registered in the form of three original computer programs No. State. reg. 2021615282, 2021616986 and 2021619052.
  9. Digital twins of technological solutions have been developed and are being improved to ensure sustainable combustion of ultra-lean fuel mixtures based on landfill gas and thermal decomposition products of municipal and industrial waste, minimizing chemical underburning and neutralizing combustion products, as well as methodological solutions for their production and research.
  10. Preliminary results of exploratory research were obtained in the form of digital twins of technological solutions to ensure sustainable combustion of ultra-lean fuel mixtures based on landfill gas and thermal decomposition products of municipal and industrial waste, minimizing chemical underburning and neutralizing combustion products obtained on the basis of representative technological prototypes (TGME-energy boiler 464, hot water boiler PTVM-100, original composite fuel burners and burner devices of the GMU-45 and GDS-100 type).
  11. Created, researched, verified A digital platform of interdisciplinary coupled models of detailed chemical kinetics, heat and mass transfer and gas dynamics of reacting flows, effective computational methods, as well as software tools for implementing computational experiments in the application to the design of technologies for environmentally friendly energy production using original software add-ons to the Star CCM+ software package. Results of a study of the technological and technical-economic efficiency of new and obtained at previous stages of technical solutions (patents for inventions No. 27832, 2775611, 2775610, 2782674, utility models No. 208401, 208400, 208485, 210008, 215037, 215191). 

Education and personnel occupational retraining:

A new master’s educational program has been developed and opened in the direction of “Thermal Power Engineering and Heating Engineering”, profile “Technologies for the production of environmentally friendly electrical and thermal energy”, to train personnel for the renewable energy sector in the region.

A new postgraduate educational program in direction 2.4.5 “Energy systems and complexes” has been developed and opened to train personnel for regional renewable energy.

Laboratory staff Zolotov A.N. , Mizher U.D., Busygin S.V. defended their PhD dissertations in the specialty 05.13.18 - Mathematical modeling, numerical methods and software packages (scientific advisor V.N. Kovalnogov ).

Laboratory staff Demidov D.A., Karpov D.A., Maleshina M.A., Sherkunov V.V., Shepelev I.I. completed a 30-day scientific internship at the Faculty of Mathematics of the University of Western Macedonia (Kastoria, Greece) under the direct supervision of the leading scientist prof. Simos , while simultaneously mastering the educational course " Computational Methods with MATLAB and Mathematica " and increasing your skills in the field of modern computational methods.

Laboratory staff Boyarkin M.S., Chamchiyan Yu.E. and Chukalin A.V. completed a scientific and technological internship at Vereinigte landfills Ville (Cologne, Germany) and Braunschweigischen Kohlen-Bergwerke AG (Brunschweig, Germany), and also visited the laboratories of the Cologne Technical University and the European Greener Manufacturing Show (November 10-11, 2021, Cologne, Germany), increasing their qualifications in the field of energy waste management technologies, separate waste collection, deep processing, obtaining methane from waste.

10 laboratory employees underwent intensive practice-oriented training at Sarov Engineering Center LLC (the official partner of Siemens in Russia and the CIS countries), acquired practical skills and improved their qualifications in the field of computational fluid dynamics and modeling of combustion processes in the STAR-CCM+ software package .

Cooperation:

With the assistance of a leading scientist, scientific cooperation has been established with scientific groups from Greek universities: the University of Western Macedonia (Kastoria), the University of Democritus (Thrace) and the National Kapodistrian University of Athens (Athens). There are joint developments and publications in the field of numerical methods. At the University of Western Macedonia last year, under the leadership of leading scientist prof. Simosa T.E. Young laboratory employees undergo regular scientific internships.

Since 2022, the laboratory has begun interacting with the laboratory for modeling convective heat and mass transfer processes at Tomsk State University.

Interaction with the European Society of Computational Methods in Sciences and Engineering is also developing (European Society of Computational Methods in Sciences and Engineering), under whose patronage annual thematic symposia on the ongoing project are organized within the framework of international conferences International Conference of Computational Methods in Sciences and Engineering ICCMSE and International Conference of Numerical Analysis and Applied Mathematics ICNAAM.

Hide Show full
V.N. Kovalnogov, R.V. Fedorov, Y.A. Khakhalev, T.E. Simos, C. Tsitouras
A neural network technique for the derivation of Runge–kutta pairs adjusted for scalar autonomous problems / Mathematics (Q1), Volume 9, Issue 16, 2021, ISSN 22277390, https://doi.org/10.3390/math9161842.
V.N. Kovalnogov, R.V. Fedorov, A.V. Chukalin, , T.E. Simos, C. Tsitouras
Evolutionary derivation of runge–kutta pairs of orders 5(4) specially tuned for problems with periodic solutions / Mathematics (Q1), Volume 9, Issue 18, 2021, ISSN 22277390, https://doi.org/10.3390/math9182306.
V.N. Kovalnogov, R.V. Fedorov, D.A. Generalov, E.V. Tsvetova, T.E. Simos, C. Tsitouras
On a New Family of Runge– Kutta–Nyström Pairs of Orders 6(4) / Mathematics (Q1), Volume 10, Issue 6, 2022, ISSN 22277390, https://doi.org/10.3390/math10060875.
V.N. Kovalnogov, M.I. Kornilova, Y.A. Khakhalev, D.A. Generalov, T.E. Simos, C. Tsitouras
(2022). New family for Runge‐Kutta‐Nyström pairs of orders 6 (4) with coefficients trained to address oscillatory problems. Mathematical Methods in the Applied Sciences, 45(12), 7715-7727. https://doi.org/10.1002/mma.8273.
M.I. Kornilova, V.N. Kovalnogov, R.V. Fedorov, M.M. Zamaleev, V.N. Katsikis, S.D. Mourtas, T.E. Simos
Zeroing Neural Network for Pseudoinversion of an Arbitrary Time-Varying Matrix Based on Singular Value Decomposition / Mathematics (Q1), Volume 10, Issue 8, 2022, ISSN 22277390, https://doi.org/10.3390/math10081208.
Kovalnogov, V. N., Matveev, A. F., Generalov, D. A., Karpukhina, T. V., Simos, T. E., & Tsitouras, C.
(2023). Runge–Kutta–Nyström Pairs of Orders 8 (6) for Use in Quadruple Precision Computations. Mathematics, 11(4), 891. https://doi.org/10.3390/math11040891 7. Kovalnogov, V. N., Fedorov, R. V., Sh
Kovalnogov, V. N., Fedorov, R. V., Shepelev, I. I., Sherkunov, V. V., Simos, T. E., Mourtas, S. D., & Katsikis, V. N.
(2023). A novel quaternion linear matrix equation solver through zeroing neural networks with applications to acoustic source tracking. AIMS Math, 8, 25966-25989. https://doi.org/10.3934/math.20231323
Other laboratories and scientists
Hosting organization
Field of studies
City
Invited researcher
Time span of the project
Laboratory «Probability techniques in analysis» (10)

Saint Petersburg State University - (SPbU)

Maths

St. Petersburg

Hedenmalm Haakan Per

Sweden

2024-2028

Laboratory «Nonlinear and nonlocal equations and their applications»

Peoples' Friendship University of Russia - (RUDN University)

Maths

Moscow

Kuksin Sergei Borisovich

Russia, France

2022-2024

Probabilistic Methods in Analysis

Saint Petersburg State University - (SPbU)

Maths

St. Petersburg

Hedenmalm Haakan Per

Sweden

2021-2023