LV
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Latvijas Zinātnes padomes
Fundamentālo un lietišķo pētījumu programmas projekts |
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Šķidruma mehānikas un
siltuma vadīšanas
sarežģīto dinamisko sistēmu analīze |
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Par projektu
Projekta kopsavilkums
Zinātniskā
grupa |
Konferences
Publicitāte
Publikācijas |
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Par projektu
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Projekta nosaukums: |
Šķidruma mehānikas un siltuma vadīšanas
sarežģīto dinamisko sistēmu analīze |
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Projekta numurs: |
lzp-2020/1-0076 |
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Projekta iesniedzējs: |
Rīgas Tehniskā universitāte |
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Projekta sadarbības partneris: |
Daugavpils Universitāte |
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Projekta zinātnes nozare: |
Matemātika |
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Pētījuma veids: |
Fundamentālie pētījumi |
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Projekta vadītājs: |
Andrejs Koliškins [Andrejs.Koliskins@rtu.lv] |
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Projekta
koordinators DU: |
Armands Gricāns
[armands.gricans@du.lv]
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Projekta īstenošanas periods: |
01.01.2021.-31.12.2023. |
Projekta
kopsavilkums
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Projekts ir veltīts vairāku
nestacionāru problēmu fundamentāliem pētījumiem un to pielietojumiem siltuma
vadīšanā un šķidruma mehānikā.
Projekta mērķis ir izstrādāt
matemātiskos modeļus un algoritmus, lai pētītu trīs galveno problēmu grupas:
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faktoru, kas ietekmē efektīvo biomasas
pārstrādi, tīras enerģijas ražošanu un atkritumu utilizāciju, analīze;
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siltuma vadīšanas un šķidruma mehānikas ātro
nestacionāro procesu pētīšana (ieskaitot inverso uzdevumu risināšanu);
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vairāku siltuma vadīšanas režīmu analīze
radiālās simetrijas gadījumā un atbilstošo nelineāro robežproblēmu
atrisināmības, atrisinājumu sazarošanās un bifurkāciju pētīšana.
Sagaidāmie rezultāti ir šādi:
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izstrādāti matemātiskie modeļi, algoritmi un
datorprogrammas, lai analizētu dinamiskās sistēmas, kas ir saistītas ar
biomasas siltuma pārstrādi, tīras enerģijas ražošanu un atkritumu
utilizāciju;
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siltuma vadīšanas nestacionāru procesu analīze
un kontrole ar izstrādāto modeļu palīdzību, inverso nestacionāro
hiperbolisko procesu atrisināšana (ar pielietojumiem tērauda rūdīšanā);
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pārējas uz turbulenci ātri palēnināto plūsmu
caurulēs un kanālos analīze, izmantojot absolūtās un konvektīvās
nestabilitātes jēdzienus;
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parasto diferenciālvienādojumu un to sistēmu
nelineāro robežproblēmu analīzes jaunas metodes.
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Zinātniskā
grupa
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Rīgas Tehniskā universitāte:
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Andrejs Koliškins |
Dr.math., profesors |
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Inta Volodko |
Dr.math., profesore |
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Ilmārs Iltiņš |
Dr.sc.ing., profesors |
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Marija Iltiņa |
Dr.sc.ing., asociētā profesore |
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Mohamed Ghidaoui |
PhD, profesors |
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Valentīna Koliškina |
Dr.math., docente |
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Maksims Žigunovs |
Mg.sc.ing. |
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Daugavpils Universitāte:
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Armands Gricāns |
Dr.math., asociētais profesors |
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Felikss Sadirbajevs |
Dr.habil.math., profesors |
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Ināra Jermačenko |
Dr.math., asociētā profesore |
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Diāna Ogorelova |
Mg.math. |
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Inna Samuilika |
Mg.math. |
Konferences
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M.Y Lam, A. Kolyshkin,
and M.S. Ghidaoui, Initial dynamics
responsible for wave radiation in shallow shear flows,
39th IAHR World Congress, June 19-24, 2022, Granada, Spain.
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A. Gritsans, V.
Koliskina, A. Kolyshkin, and F. Sadyrbaev, Instability of a flow of a
reacting fluid in a vertical fluid layer,
8th European Congress on Computational Methods in
Applied Sciences and Engineering (ECCOMAS CONGRESS 2022),
June 5-9, 2022, Oslo, Norway.
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V. Koliskina,
A.
Kolyshkin, and M. Zigunovs, Stability of convective
flows caused by internal heating,
25th International Conference Mathematical
Modelling and Analysis, May 30-June 2, 2022, Druskininkai, Lithuania.
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A. Gritsans, A.
Kolyshkin, D. Ogorelova, F. Sadyrbaev, I. Samuilik, and I. Yermachenko,
On a nonlinear boundary value problem arising in heat transfer,
25th International Conference Mathematical
Modelling and Analysis, May 30-June 2, 2022, Druskininkai, Lithuania.
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T. Treilande and I.
Iltins, Non-standard method of solving direct and inverse problems for
hyperbolic equations, 21st
International Scientific Conference
Engineering for Rural Development (ERDev2022),
May 25-27,
2022, Jelgava, Latvia.
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A. Gritsans, A.
Kolyshkin, D. Ogorelova, F. Sadyrbaev, I. Samuilik, and I. Yermachenko,
Multiplicity of positive solutions for a boundary value problem arising
in heat transfer,
64th International Scientific Conference of
Daugavpils University, April 21-22, 2022,
Daugavpils, Latvia.
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A. Gritsans, A.
Kolyshkin, D. Ogorelova, F. Sadyrbaev, I. Samuilika, and I. Yermachenko,
The application of the Krasnosel’skii-Guo fixed point theorem to a
boundary value problem arising in heat transfer,
80th International Scientific Conference of the
University of Latvia, February 25,
2022, Riga, Latvia.
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V. Koliskina, A.
Kolyshkin, and I. Volodko,
Stability of combined steady convective flow in a vertical fluid layer
with permeable boundaries,
13th Conference of the Euro-American Consortium
for Promoting the Application of Mathematics in Technical and Natural
Sciences (AMiTaNS'21), June 24-29, 2021, Albena,
Bulgaria.
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A. Gritsans, V.
Koliskina, A. Kolyshkin, and F. Sadyrbaev, On the stability of a steady
convective flow in a vertical layer of a chemically reacting fluid,
9th International Conference on Computational
Methods for Coupled Problems in Science and Engineering (COUPLED
PROBLEMS 2021), June 13-16, 2021.
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A. Gritsans, A.
Kolyshkin, D. Ogorelova, F. Sadyrbaev, I. Samuilika, and I. Yermachenko,
Solutions of nonlinear boundary value problem with applications to
biomass thermal conversion, 20th International Scientific Conference
Engineering for Rural Development (ERDev2021),
May 26-28,
2021, Jelgava, Latvia.
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A. Gritsans, A.
Kolyshkin, D. Ogorelova, F. Sadyrbaev, I. Samuilika, and I. Yermachenko,
On a Dirichlet problem for second order nonlinear nonautonomous ordinary
differential equations,
63rd International Scientific Conference of
Daugavpils University, April 15-16, 2021,
Daugavpils, Latvia.
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A. Gritsans, A.
Kolyshkin, D. Ogorelova, F. Sadyrbaev, I. Samuilika, and I. Yermachenko,
On some nonlinear boundary values problems for ordinary differential
equations in heat conduction theory,
79th International Scientific Conference of the
University of Latvia, February 26, 2021, Riga, Latvia.
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A. Gritsans, A.
Kolyshkin, and F. Sadyrbaev, Stability of convective flows in the
presence of nonlinear heat source,
79th International Scientific Conference of the
University of Latvia, February 26, 2021, Riga, Latvia.
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Publicitāte
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Publikācijas
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A. Kolyshkin,
V. Koliskina, and I. Volodko, Stability of a
convective flow generated by non-uniform heat sources in a transverse
magnetic field, submitted for publication to JP Journal of Heat and Mass
Transfer on February 16, 2022, 15 pages. (Currently under the
first revision).
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M.Y. Lam, A. Kolyshkin,
and M.S. Ghidaoui, Initial dynamics
responsible for the stabilizing effect of Froude number in shallow shear
flows, Proceedings of the 39th IAHR World Congress (June 19–24,
Granada, Spain), 2022, 9 pages. (Accepted for publication).
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I. Samuilik and F.
Sadyrbaev, On a system without critical points arising in heat
conductivity theory,
WSEAS Transactions on
Heat and Mass Transfer, 2022, 17,
pp. 151-160.
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T. Treilande and I.
Iltins, Non-standard method of solving direct and inverse problems for
hyperbolic equations,
Proceedings of 21st International Scientific
Conference "Engineering for Rural Development" (May 25-27, Jelgava,
Latvia), 2022, pp. 383-888.
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M. Zigunovs, I. Iltins,
and M. Iltina, Fluid driven thermal distribution in porous media
applying parallel calculations,
JP Journal of Heat and Mass Transfer,
22(2), 2021, pp. 305-335.
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M. Zigunovs, A.
Kolyshkin, and I. Iltins, Linear stability of a steady convective flow
between permeable cylinders,
Fluids, 6(10):342, 2021.
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A. Gritsans, V.
Koliskina, A. Kolyshkin, and F. Sadyrbaev, On
the stability of a steady convective flow in a vertical layer of a
chemically reacting fluid, in: 9th edition of the International
Conference on Computational Methods for Coupled Problems in Science and
Engineering (COUPLED
PROBLEMS 2021), Vol. IS34 - Multiphysics Problems, 2021,
10 pp.
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A. Gritsans,
A. Kolyshkin, D. Ogorelova,
F. Sadyrbaev, I. Samuilik, and
I. Yermachenko, Solutions of nonlinear boundary value problem
with applications to biomass thermal conversion,
Proceedings of 20th International Scientific
Conference "Engineering for Rural Development" (May 26-28, Jelgava,
Latvia), 2021, pp. 837-842.
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