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Kiril Stoyanov Shterev


Associate Prof.

Department: Mathematical Modeling and Numerical Simulations

Room number: 421

Phone: +359 2 979 2007


Click here to visit my ResearchGate profile.

Scientific degrees, institution, year:




Technical University Sofia, Bulgaria, branch Plovdiv, Faculty for Spesial Preperation, Dipl. Engineer – Bachelor of Aviation Technique and Technologies, 2002
Ph.D., Mathematical modeling and application of mathematics in mechnics, Institute of Mechanics - BAS, 2010

Fields of Research:


Finite Volume Method (FVM) - SIMPLE-TS, Computational Fluid Dynamic (CFD), microflows in channels at subsonic and supersonic speeds, C++, parallel programming based on standard MPI

Fields of future interests:

Molecular models, a continuum and molecular dynamics hybrid method for micro- and nano-fluid flow


Extended Information


Recent Publications:


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 2.523, 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 0.162.
  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, SJR 0.305.
  9. Stefan K. Stefanov, Naveen K. Kulakarni and Kiril S. Shterev, Modeling of Gas Flows through Microchannel Configurations, AIP Conf. Proc. 1561, 59 (2013),, APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 4th International Conference - AMiTaNS '13, 24-29 June 2013, Albena, Bulgaria, SJR 0.162.
  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 microchannel, 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 0.168. 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 0.146.
  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, SJR 0.305.
  14. K. Shterev and S. Stefanov, Unsteady State Gaseous Flow past a Square Confined in a Micro-channel, AIP Conf. Proc. 1301, 520 (2010);, 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, SJR 0.148.
  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, SJR 0.295.

  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.



Recent Projects:





1st Award of the competition "Young Scientist" in Institute of Mechanics, 2006

1st Award of the competition "Young Scientist" in Institute of Mechanics, 2010

Diploma from Union of Scientists in Bulgaria for thesis " Numerical simulation of compressible, viscous and heat-conductive gas microflows", 2011

The source code of the algorithm SIMPLE-TS written in C++ and most of the problems solved in paper "Pressure based finite volume method for calculation of compressible viscous gas flows", are availible here.



Modified date:02-04-2021