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Кирил Стоянов Щерев


Секция: Математическо моделиране и числени симулации


Тел.: +359 2 979 2007


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Научни степени, организация, година:




ТУ София - филиал Пловдив, Факултет за специална подготовка, инженер бакалавър по "Авиационна техника и технологии", 2002
доктор,  математическо моделиране и приложение на математиката в механиката, Институт по механика - БАН, 2010

Области на професионален интерес (ключови думи):


метод на крайните обеми, изчислителна механика на флуидите, микротечения в канали при дозвукови и свръхзвукови скорости, C++, паралелно програмиране на базата на стандарт MPI


Области на бъдещ професионален интерес: молекулерни модели, хибринди схеми между молекулярни и континуални модели за пресмятане на микро- и нано-флуидни течения

Допълнителна инфомация


Избрани публикации:

Journal papers

  1. K. Shterev, The Correctness of the Simplified Bernoulli Trial (SBT) Collision Scheme of Calculations of Two-Dimensional Flows, Micromachines 2021, 12, 127,, doi: 10.3390/mi12020127, IF 3.523, Q2, (click here to download the paper).
  2. Kiril Shterev, Emil Manoach. Geometrically Non-Linear Vibration of a Cantilever Interacting with Rarefied Gas Flow, Cybernetics and Information Technologies, 20, 6, 2020, ISSN:1311-9702, DOI:10.2478/cait-2020-0067, 126-139. SJR (Scopus):0.31, Q2, URL:
  3. Shterev, K., Manoach, E., Stefanov, S.. Hybrid numerical approach to study the interaction of the rarefied gas flow in a microchannel with a cantilever 2019. International Journal of Non-Linear Mechanics, 117, 103239, Elsevier, 2019, DOI:10.1016/j.ijnonlinmec.2019.103239, JCR-IF (Web of Science):2.313, Q1, URL:
  4. Kiril S. Shterev, Stefan K. Stefanov, A two-dimensional computational study of gas flow regimes past of square cylinder confined in a long microchannel, European Journal of Mechanics - B/Fluids, Available online 14 March 2017, ISSN 0997-7546,, IF 1.969 (5-Year Impact Factor: 2.098).
  5. N.K. Kulakarni, K. Shterev, S.K. Stefanov, Effects of finite distance between a pair of opposite transversal dimensions in microchannel configurations: DSMC analysis in transitional regime, International Journal of Heat and Mass Transfer, Volume 85, June 2015, Pages 568–576, ISSN: 0017-9310, doi:10.1016/j.ijheatmasstransfer.2015.02.011, IF 2.868
  6. K. Shterev, Iterative process acceleration of calculation of unsteady, viscous, compressible, and heat-conductive gas flows, International Journal for Numerical Methods in Fluids, Volume 77, Issue 2, 2015, Pages 108-122, ISSN 1097-0363, doi: 10.1002/fld.3979, URL, IF 1.329, SJR 1.146
  7. K. Shterev and S. Stefanov, Pressure based finite volume method for calculation of compressible viscous gas flows, Journal of Computational Physics 229 (2010) pp. 461-480,  doi:10.1016/ - the accepted manuscript can be downloaded from here, the paper in it`s final mode is available here. IF 3.023



  1. Kiril S. Shterev, GPU implementation of algorithm SIMPLE-TS for calculation of unsteady, viscous, compressible and heat-conductive gas flows, URL:, 2018.
  2. Kiril S. Shterev, On convective terms approximation approach that corresponds to pure convection, URL:, 2018.


Conferences and proceedings

  1. Kiril Shterev, Emil Manoach, Stefan Stefanov, GAS FLOW IN A MICRO-CHANNEL WITH AN ELASTIC OBSTACLE, Proceedings of the International Symposium on Thermal Effects in Gas flows In Microscale, October 24-25, 2019 – Ettlingen, Germany.
  2. Kiril Shterev, Emil Manoach, NUMERICAL APPROACH TO STUDY PRESSURE DRIVEN RAREFIED GAS FLOW IN A MICROCHANNEL WITH AN ELASTIC OBSTACLE, International Conference on Nonlinear Solid Mechanics (ICoNSoM 2019), 16 – 19.06.2019, Rome, Italy.
  3. K. Shterev, E. Manoach, S. Stefanov, Couette Gas Microflow with an Elastic Obstacle, Fourth International Conference on Recent Advances in Nonlinear Mechanics (RANM2019), May 7-10 2019, Lodz, Poland.
  4. K. Shterev, E. Manoach, S. Stefanov, Gas flow in a micro-channel with an elastic obstacle. Proceedings of EUROMECH Colloquium 603 Dynamics of micro and nano electromechanical systems: multi-field modelling and analysis. Editors Pedro Ribeiro, Stefano Lenci, Sondipon Adhikari, Universidade do Porto. Reitoria, 2018, ISBN:978-989-746-185-9, 137-140
  5. K. Shterev and S. Stefanov, Determination of zone of flow instability in a gas flow past a square particle in a narrow microchannel at all speeds, Proceedings of the 2nd European Conference on Non-equilibrium Gas Flows, December 9-11, 2015, Eindhoven, the Netherlands.
  6. K. S. Shterev and S. K. Stefanov, Strouhal number analysis for a Karman vortex gas flow past a square in a microchannel at low Mach number, AIP Conference Proceedings 1629 (2014), pp. 319-326, URL, DOI, ISBN: 978-0-7354-1268-2, International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences ‐ AMiTaNS ’14, 26 June–1 July 2014, Albena, Bulgaria, SJR 0.161
  7. K. S. Shterev, Acceleration of iterative algorithm for calculation of unsteady, viscous, compressible and heat-conductive gas flows on GPU, International Conference on "Numerical Methods for Scientific Computations and Advanced Applications", May 19-22, 2014, Bansko, Bulgaria, Institute of Information and Communication Tecnologies - Bulgarian Academy of Sciences, in cooperation with  Society for Industrial and Applied Mathematics (SIAM), ISBN: 978-954-91700-7-8, URL:
  8. Kiril S. Shterev, Emanouil I. Atanassov and Stefan K. Stefanov, GPU calculations of unsteady viscous compressible and heat conductive gas flow at supersonic speed, 9th International Conference on "Large-Scale Scientific Computations" June 3-7, 2013, Sozopol, Bulgaria, pp. 549-556, doi=10.1007/978-3-662-43880-0_63, url=, ISBN: 978-3-662-43879-4, 2014.
  9. Stefan K. Stefanov, Naveen K. Kulakarni and Kiril S. Shterev, Modeling of Gas Flows through Microchannel Configurations, APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 4th International Conference - AMiTaNS '13, 24-29 June 2013, Albena, Bulgaria, SJR 0.161
  10. Kiril Shterev and Stefan Stefanov, Determination of Zone of Flow Instability in a Gas Flow Past a Square Particle in a Narrow Microchannel, High-Performance Computing Infrastructure for South East Europe's Research Communities vol. 2, Springer International Publishing, ISBN 978-3-319-01519-4, pp. 43-50, doi=10.1007/978-3-319-01520-0_5, url:, The book series Modeling and Optimization in Science and Technologies (MOST), Volume 2 2014, ISSN: 2196-7326. The original publication is availible at
  11. K. S. Shterev and S. Ivanovska, Comparison of some approximation schemes for convective terms for solving gas flow past a square in a microchanne, APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 4th International Conference - AMiTaNS '12, 11-16 June 2012, St. Constantine and Helena, Bulgaria, AIP Conf. Proc. 1487, pp. 79-87; doi:, ISBN 978-0-7354-1099-2, SJR 0.161. The original publication is availible at here. Authors copy is availible freely from here.
  12. K. Shterev, S. Stefanov, Influence of reservoirs on pressure driven gas flow in a micro-channel, Application of Mathematics in Technical and Natural Sciences, Albena, Bulgaria, June 20-25, 2011, AIP Conf. Proc. 1404, 122 (2011), ISBN: 978-0-7354-0976-7; doi: 10.1063/1.3659911, SJR 0.161.
  13. K. Shterev, S. Stefanov and E Atanassov, A parallel algorithm with improved performance of Finite Volume Method (SIMPLE-TS), 8th International Conference on "Large-Scale Scientific Computations" June 6-10, 2011, Sozopol, Bulgaria, I. Lirkov, S. Margenov, and J. Wansiewski (Eds.): LSSC 2011, LNCS 7116, ISBN 978-3-642-29842-4, pp. 351–358, 2012. Springer-Verlag Berlin Heidelberg 2012.
  14. K. Shterev and S. Stefanov, Unsteady State Gaseous Flow past a Square Confined in a Micro-channel, 2nd International Conference, Sozopol, Bulgaria, November 21-26, 2010, APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: Proceedings of the 2nd International Conference, 25.11.2010, Volume 1301, pp. 520-530, doi:10.1063/1.3526654
  15. K. S. Shterev and S. K. Stefanov, A Parallelization of Finite Volume Method for Calculation of Gas Microflows by Domain Decomposition Methods, 7th Internnational Conference - Large-ScaleScientific Computations, Sozopol, Bulgaria, June 04-08, 2009. Lecture Notes in Computer Science Volume 5910, 2010, DOI: 10.1007/978-3-642-12535-5

  16. K. S. Shterev, S. K. Stefanov, Finite Volume Calculations of Gaseous Slip Flow Past a Confined Square in a Two-Dimensional Microchannel, Proceedings of the 1st European Conference on Microfluidics - Microfluidics 2008 - Bologna, December 10-12, 2008.

  17. K. S. Shterev, S. K. Stefanov, Two-dimensional Slip-Velocity Gaseous Flow past a Confined Square in a Microchannel, 25th International symposium on Rarefied Gas Dynamics, Saint-Petersburg, Russia, 15 – 21 July, 2006.

  18. Kiril Shterev, Mathematical modeling of velocity slip gaseous flows by using finite volume method, In: Proc. 10th National Congress on Theoretical and Applied Mechanics, Vol. II, pp. 427-432, Varna, 13 - 16 September, 2005.


Първа награда за конкурса "Млад учен" в института по механика, 2006

Първа награда за конкурса "Млад учен" в института по механика, 2010

Грамота от Съюза на учените в България за дисертацията „Числено моделиране на микро-течения на свиваем. Вискозен, топлопроводящ газ“, 2011

Сорс кодът на алгоритъма SIMPLE-TS написан на C++ и повечето от задачите от статия „Pressure based finite volume method for calculation of compressible viscous gas flows” са достъпни от тук.

Последна промяна:29-06-2022