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Fundamental and applied research project of the Latvian Council of Science
 

Analysis of complex dynamical systems

in fluid mechanics and heat transfer
 
 
About project   Project summary   Research group
Conferences   Publicity
Publications: Journals and Conference Proceedings
Publications: Conference Abstracts
 

About project
 
Project title: Analysis of complex dynamical systems in fluid mechanics and heat transfer
Project number: lzp-2020/1-0076
Project applicant: Riga Technical University
Project cooperation partner: Daugavpils University
Project science field: Mathematics
Type of research: Fundamental research
Project leader: Andrei Kolyshkin [Andrejs.Koliskins@rtu.lv]
DU project coordinator: Armands Gritsans [armands.gricans@du.lv]
Project implementation period: 01.01.2021.-31.12.2023.
 

Project summary
 

The project is devoted to fundamental research of different types of unsteady phenomena with broad range of applications in fluid mechanics and heat transfer.

The main objective of the project is to develop mathematical models and algorithms to study the following three groups of problems:

  • analysis of factors contributing to efficient biomass thermal conversion, clean energy production and utilization of waste;

  • investigation of fast transient processes in heat transfer and fluid mechanics (including solution of inverse problems);

  • analysis of multiple heat conduction regimes in presence of radial symmetry and investigation of related nonlinear boundary value problems, their solvability, branching of solutions, and bifurcations.

The expected results are as follows:

  • developed mathematical models, algorithms and computer programs to analyze dynamic systems related to biomass thermal conversion, clean energy production and utilization of waste;

  • use of developed models for analysis and control of unsteady processes in heat transfer, solution of inverse time-dependent hyperbolic processes (with applications in steel quenching);

  • analysis of fast transient flows in pipes and channels based on the notions of absolute and convective instability;

  • new methods of analysis of nonlinear boundary problems for ordinary differential equations and their systems.

Research group
 
  Riga Technical University:
 		  
  Andrei Kolyshkin Dr.math., professor
  Mohamed Ghidaoui PhD, professor
  Inta Volodko Dr.math., professor
  Ilmārs Iltiņš Dr.sc.ing., professor
  Marija Iltiņa Dr.sc.ing., associate professor
  Valentīna Koliškina Dr.math., docent
  Maksims Žigunovs Mg.sc.ing.
 
Daugavpils University:
 		  
  Armands Gritsans Dr.math, associate professor
  Felix Sadyrbaev Dr.habil.math, professor
  Inara Yermachenko Dr.math, associate professor
  Diāna Ogorelova Mg.math.
  Inna Samuilika Mg.math.
  Olga Kozlovska Mg.math.

Conferences
 

Publicity
 

Publications: Journals and Conference Proceedings
 

Publications: Conference Abstracts