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Dr Vladimir Titarev
Leading Researcher
Department of Mechanics
Sector of kinetic theory of gases
Email: titarev (at) ccas.ru, titarev (at) mail.ru 		Vladimir Titarev foto

Background

       Dr Vladimir Titarev graduated from Bauman Moscow State Technical University (BMSTU) in 2000. He obtained PhD from BMSTU in 2003 (topic of the thesis – computational rarefied gas dynamics) and from University of Trento, Italy in 2005 under supervision of Professor E. F. Toro (topic of the thesis – arbitrary high order Godunov-type methods). The latter thesis was selected in 2007 as one of three best Italian Ph.D. theses in applied mathematics (INDAM-SIMAI award). From October 2005 till January 2007 he moved to the Fluid Mechanics and Computational Science group in the School of Engineering, at Cranfield University, where he worked as Research fellow and further Research fellow/Lecturer until March 2011. In March 2011 Dr Titarev joined Dorodnicyn Computing Centre of Russian Academy of Sciences as a Leading Researcher.

       Dr Titarev is a specialist in the field of computational fluid dynamics and associated numerical analysis. His research track record and interests include the Boltzmann equation with model collision integrals, hyperbolic conservation laws and numerical methods, very high-order essentially non-oscillatory methods in particular, for partial differential equations with applications in gas dynamics, rarefied flows, reactive multiphase flows as well as non-linear elasticity. In addition to this research experience, Dr Titarev have also been involved in industrial projects with a number of companies, including QINETIC UK, EURATOM/UKAEA Fusion Association, Eaton Aerospace UK, and Lockheed Martin UK, as well as in a European project “Generation of Advanced Helicopter Experimental Aerodynamic Database for CFD code validation” (GoAHEAD).

       The developed methods for rarefied gas flows and compressible aerodynamics have been implemented into the computer modelling package “Nesvetay”

       Research work and collaborations include with Professor E. M. Shakhov (BMSTU, Russia), Professors E. F. Toro and M. Dumbser (Trento, Italy), Professor V. F. Kopiev (TsAGI, Russia), Professor S. V. Utyuzhnikov (Manchester, UK & MIPT, Russia), Professor F. Sharipov (Brazil), Dr S. Karabasov (Cambridge, UK), Drs E. Shapiro and B. Thornber (Cranfield, UK) and Professor E. Romenskiy (Novosibirsk,Russia).

Publications

       Complete list of publications.

       Selected publications:

  1. V. A. Titarev and E. M. Shakhov (2012). Computational study of a rarefied gas flow through a long circular pipe into vacuum. Vacuum, Special Issue ``Vacuum Gas Dynamics'', in press.
  2. V. A. Titarev and E. M. Shakhov (2012). Efficient method of solution of a problem of rarefied gas flow in a planar channel of large finite length. Computational Mathematics and Mathematical Physics. V. 52, , N 2 pp. 269-284.
  3. V. A. Titarev (2012). Implicit high-order method for calculating rarefied gas flow in a planar microchannel. Journal of Computational Physics, V. 231, pp. 109-134.
  4. V. A. Titarev (2012). Efficient deterministic modelling of three-dimensional rarefied gas flows, Communications in Computational Physics, V. 12, , N 1 pp. 162-192.
  5. V. A. Titarev and E. M. Shakhov (2010). Non-isothermal flow in a long channel on the basis of S-model kinetic equation. Computational Mathematics and Mathematical Physics. V. 50, N. 12. pp. 2131 – 2144.
  6. V. A. Titarev (2010). Implicit numerical method for computing three-dimensional rarefied gas flows using unstructured meshes. Computational Mathematics and Mathematical Physics. V. 50, N. 10, pp. 1719 – 1733.
  7. P. Tsoutsanis, V. A. Titarev and D. Drikakis (2010). WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions. Journal of Computational Physics, V. 230, P. 1585 – 1601.
  8. V. A. Titarev (2010). Implicit unstructured-mesh method for calculating Poiseuille flows of rarefied gas. Communications in Computational Physics, V. 8, N 2, pp. 427 – 444.
  9. M. Dumbser, M. Kaser, V. A. Titarev and E. F. Toro (2007). Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. Journal of Computational Physics, V. 221, N. 2, pp. 693-723.
  10. V. A. Titarev (2007). Conservative numerical methods for model kinetic equations, Computers and Fluids, V. 36, N. 9, pp. 1446 – 1459.
  11. E. F. Toro and V. A. Titarev. (2006) MUSTA schemes for systems of conservation laws. Journal of Computational Physics. V. 216, N 2, pp. 403-429.
  12. V. A. Titarev and E. M. Shakhov. (2005). Numerical calculation of the hypersonic rarefied transverse flow past a cold flat plate. Fluid dynamics. V. 40, N. 5, pp. 790 – 804.
  13. V. A. Titarev and E. F. Toro. (2005). ADER schemes for three-dimensional nonlinear hyperbolic systems. Journal of Computational Physics, V.  204, N.  2, P. 715-736.
  14. E. F. Toro and V. A. Titarev. (2002). Solution of the generalized Riemann problem for advection-reaction equations. Proc. Roy. Soc. London, 458(2018):271-281
  15. Â. À. Òèòàðåâ è Å. Ì. Øàõîâ. (2001). Flow computation in the bottom vacuum region behind a plate in a hypersonic rarefied gas stream. Computational Mathematics and Mathematical Physics. V. 41, N 9, p. 1372- 1384.

Other activities:

       Co-supervised two Ph.D. students: P. Tsoutsanis, 2009, thesis title “Very high-order methods for 3D arbitrary unstructured grids”; S. Tissera, 2010, thesis title “Assessment of High-Resolution Methods in Hypersonic Real-Gas Flows”.

       Reviewer at Journal of Computational Physics, Communications in Computational Physics, Computers & Fluids, International Journal for Numerical Methods in Fluids, Numerical Algorithms, Journal of Aerospace Engineering, International Journal of Heat & Mass Transfer, Advances in Water Resources, Journal of Computational and Applied Mathematics, SIAM Journal on Scientific Computing.

       Invited speaker at the following conferences & workshops:

The page is allocated at July 21, 2011.
Last Revised: April 28, 2012.