List of publications of Dr Vladimir Titarev

Dorodnicyn Computing Center of Federal Research Center Computer Science and Control of RAS, Moscow, Russia

Last update: 26/12/2016

Journal Papers

1.       V.A. Titarev. Numerical modeling of high-speed rarefied gas flows over blunt bodies using model kinetic equations // European Journal of Mechanics / B Fluids, doi 10.1016/j.euromechflu.2016.12.005, in press.

2.       D. Valougeorgis, N. Vasileiadis, V.Titarev. Validity range of linear kinetic modeling in rarefied pressure driven single gas flows through circular capillaries // European Journal of Mechanics / B Fluids, doi 10.1016/j.euromechflu.2016.11.004, in press.

3.       V.A. Titarev and S.V. Utyuzhnikov and A.V. Chikitkin. OpenMP + MPI parallel implementation of a numerical method for solving a kinetic equation // Computational Mathematics and Mathematical Physics V. 56, N. 11, 2016, pp. 1919-1928.

4.    N.A. Konopelko , V.A. Titarev, E.M. Shakhov. Unsteady rarefied gas flow in a microchannel driven by a pressure difference // Computational Mathematics and Mathematical Physics. V 56. N. 3, 2016, pp. 470-482.

5.    N.A. Konopelko, V.A. Titarev, E.M. Shakhov. Rarefied gas deceleration in a channel in the case of expansion into a vacuum // Fluid Dynamics. 2015. V. 50. N 2. p. 294-305.

6.    V.A. Titarev and E.M. Shakhov.  Rarefied gas flow into vacuum through a pipe composed of two circular sections of different radii // Vacuum. SI "Advances in Vacuum Gas Dynamics". 2014, V. 109.  p. 236-245.

7.    E.M. Shakhov and V.A. Titarev. Non-stationary rarefied gas flow into vacuum from a circular pipe closed at one end // Vacuum. SI "Advances in Vacuum Gas Dynamics". 2014. V. 109.  p. 284-293.

8.       V.A. Titarev. Computer package Nesvetay-3D for modelling three-dimensional flows of monatomic rarefied gases // Science & Education. Scientifical periodic of the Bauman MSTU. 2014, N. = 6, p. 124-154, doi=10.7463/0614.0712314, url=http://technomag.bmstu.ru/doc/712314.html.

9.       V.F. Kopiev, V. A. Titarev, I. V. Belyaev. Development of a methodology for propeller noise calculation on high-performance supercomputers // TsAGI Science Journal. 2014. V. 45. N. 34. p. 293-327.

10.   V.V. Aristov, E.M. Shakhov, V.A. Titarev, S.A. Zabelok. Comparative study for rarefied gas flow into vacuum through a short circular pipe // Vacuum. 2014. V. 103, p. 5-8.

11.   V. Titarev, M. Dumbser and S. Utyuzhnikov. Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions // Journal of Computational Physics. 2014. V. 256, p. 17-33.

12.   V.A. Titarev, E.M. Shakhov and S.V. Utyuzhnikov. Rarefied gas flow through a diverging conical pipe into vacuum // Vacuum. 2014. V. 101. P. 10-17.

13.   V.A. Titarev, S.V. Utyuzhnikov and E.M. Shakhov. Rarefied gas flow through a pipe of variable square cross section into vacuum // Computational Mathematics & Mathematical Physics. 2013. V. 53, N. 8, p. 1221 1230.

14.   V.A. Titarev and E.M. Shakhov. End effects in rarefied gas outflow into a vacuum through a long tube // Fluid Dynamics. 2013. V. 48, N. 5, pp. 697-707.

15.   I.G. Brykina, B.V. Rogov, G.A. Tirskiy, V.A. Titarev, S.V. Utyuzhnikov. A comparative analysis of approaches for investigating hypersonic flow over blunt bodies in a transitional regime // Journal of Applied Mathematics and Mechanics. 2013. V. 77, p. 9-16.

16.   M. Dumbser, V.A. Titarev, S.V. Utyuzhnikov. Implicit multiblock method for solving a kinetic equation on unstructured meshes // Computational Mathematics & Mathematical Physics. 2013. V. 53, N. 5, p. 601-615.

17.   V.A. Titarev. Rarefied gas flow in a circular pipe of finite length // Vacuum. 2013. V. 94. p. 92-103.

18.   V.A. Titarev. Rarefied gas flow in a planar channel caused by arbitrary pressure and temperature drops // International Journal of Heat and Mass Transfer. 2012. V. 55. N. 21-22, p. 59165930.

19.   V.A. Titarev and E.M. Shakhov. Poiseuille flow and thermal creep in a capillary tube on the basis of the kinetic R-model // Fluid Dynamics. 2012. V. 47. N 5. P. 661672

20.   V.A. Titarev and E.M. Shakhov. Computational study of a rarefied gas flow through a long circular pipe into vacuum // Vacuum, Special Issue ``Vacuum Gas Dynamics''. 2012. V. 86, N. 11, p. 1709-1716.

21.   V.A. Titarev and E.M. Shakhov. Efficient method for computing rarefied gas flow in a long finite plane channel // Computational Mathematics & Mathematical Physics. 2012. V. 52, N 2, p. 269-284.

22.   V.A. Titarev. Efficient deterministic modelling of three-dimensional rarefied gas flows // Communications in Computational Physics. 2012. V. 12, N. 1. p. 162-192.

23.   V.A. Titarev. Implicit high-order method for calculating rarefied gas flow in a planar microchannel // Journal of Computational Physics. 2012. V. 231. p. 109-134.

24.   V.A. Rykov, V.A. Titarev and E.M. Shakhov. Rarefied Poiseuille flow in elliptical and rectangular tubes // Fluid Dynamics. 2011. V. 6. N. 3. p. 456-466.

25.   V.A. Titarev and D. Drikakis. Uniformly high-order schemes on arbitrary unstructured meshes for advection-diffusion equations // Computers & Fluids. 2011. V. 46. N. 1. p. 467-471.

26.   P. Tsoutsanis, V.A. Titarev and D. Drikakis. WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions // Journal of Computational Physics. 2011. V. 230. P. 1585 - 1601.

27.   V.A. Titarev and E.M. Shakhov. Non-isothermal flow in a long channel on the basis of S-model kinetic equation // Computational Mathematics & Mathematical Physics. Phys. 2010. V. 50. N. 12. P. 2131-2144.

28.   V.A. Titarev. Implicit numerical method for computing three-dimensional rarefied gas flows using unstructured meshes // Computational Mathematics & Mathematical Physics. 2010. V. 50. N. 10. p. 17191733.

29.   V.A. Titarev and E.M. Shakhov. Kinetic analysis of the isothermal flow in a long rectangular microchannel // Computational Mathematics & Mathematical Physics. 2010. V. 50, N. 7, p. 12211237.

30.   V.A. Titarev, P. Tsoutsanis and D. Drikakis. WENO schemes for mixed-element unstructured meshes // Communications in Computational Physics. 2010. Vol. 8. No. 3. p. 585-609.

31.   V.A. Titarev. Implicit unstructured-mesh method for calculating Poiseuille flows of rarefied gas // Communications in Computational Physics. 2010. V. 8. N 2. p. 427-444.

32.   V.A. Titarev and E.M. Shakhov. High-order accurate conservative method for computing the Poiseuille rarefied gas flow in a channel of arbitrary cross section // Computational Mathematics & Mathematical Physics. 2010. V 50. No. 3. p. 537548.

33.   P. Barton, D. Drikakis, E. Romenski and V.A. Titarev. Exact and approximate solutions of Riemann problems in non-linear elasticity // Journal of Computational Physics. 2009. V. 228. P. 7046-7068.

34.   V.A. Titarev. Numerical method for computing two-dimensional unsteady rarefied gas flows in arbitrarily shaped domains // Computational Mathematics & Mathematical Physics. 2009. Vol. 49. No. 7. p. 11971211.

35.   V.A. Rykov, V.A. Titarev and E.M. Shakhov. Effect of surface gas condensation on the velocity of a reflected shock wave // Fluid Dynamics. 2009. V. 44. N 3. P. 464-474.

36.   V.A. Titarev and E.M. Shakhov. Development and tending to steady state of subsonic gas condensation on a plane condensed phase // Computational Mathematics & Mathematical Physics. 2009. Vol. 49. No. 6. p. 10541068.

37.   V.A. Titarev, E. Romenski, D. Drikakis, E. Surrey. Computational modelling of the IFMIF lithium target // Fusion Engineering and Design. 2009. Vol. 84. N. 1, p. 4956.

38.   E.M. Shakhov and V.A. Titarev. Numerical study of the generalized cylindrical Couette flow of rarefied gas // European Journal of Mechanics B/Fluids. 2009. N. 28. p. 152-168.

39.   V.A. Rykov, V.A. Titarev and E.M. Shakhov. Shock wave structure in a diatomic gas based on a kinetic model // Fluid Dynamics. 2008. V. 43. N 2. p. 316-326.

40.   R. Bernetti, V.A. Titarev and E.F. Toro. Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry // Journal of Computational Physics. 2008. V. 227. p. 32123243.

41.   G. Vignoli, V.A. Titarev and E.F. Toro. ADER schemes for the shallow water equations in channel with irregular bottom elevation // Journal of Computational. Physics. 2008. V. 227. N. 1. p. 2463-2480.

42.   V.A. Titarev, E. Romenski, E.F. Toro. MUSTA-type upwind fluxes for non-linear elasticity // International Journal for Numerical Methods in Engineering. 2008. V. 73. p. 897-926.

43.   M. Dumbser, M. Käser, V.A. Titarev and E. F. Toro. Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems // Journal of Computational Physics. 2007. V. 221, N.2, p. 693-723. 

44.   V.A. Titarev and E.F. Toro. Analysis of ADER and ADER-WAF schemes // IMA Journal of Numerical Analysis. 2007. V. 27. p. 616-630.

45.   V. A. Titarev. Conservative numerical methods for model kinetic equations // Computers and Fluids. 2007. V. 36. N. 9. p. 1446 1459.

46.   V. A. Rykov, V. A. Titarev, and E. M. Shakhov. Numerical study of the transverse supersonic flow of a diatomic rarefied gas past a plate // Computational Mathematics & Mathematical Physics. 2007. V 47. N 1. p. 136-150.

47.   E. Romenski, V.A. Titarev and E.F. Toro. Perfectly matched layers with high rate damping for hyperbolic systems // CFD Journal. 2006. V. 15. N. 2. p. 240-246.

48.   E.F. Toro and V.A. Titarev. MUSTA schemes for systems of conservation laws // Journal of Computational Physics. 2006. V. 216. N 2. p. 403-429.

49.   V.A. Titarev and E.M. Shakhov. Numerical study of spiral Couette flow of rarefied gas between coaxial cylinders // Computational Mathematics & Mathematical Physics. 2006. V. 46. N 3. p. 505-513.

50.   V.A. Titarev and E.M. Shakhov. Kinetic analysis of longitudinal Couette flow between coaxial cylinders // Fluid dynamics. 2006. V. 41. N. 1. P. 86 - 99.

51.   E.F. Toro and V.A. Titarev. Derivative Riemann solvers for systems of conservation laws and ADER methods // Journal of Computational Physics. 2006. V. 212. N. 1. P. 150-165.

52.   V.A. Titarev and E.M. Shakhov. Numerical calculation of the hypersonic rarefied transverse flow past a cold flat plate // Fluid dynamics. 2005. V. 40. N. 5. P. 790 - 804.

53.   E.F. Toro and V.A. Titarev. TVD fluxes for the high-order ADER schemes // Journal of Scientific Computing. 2005. V 24. N 3. p. 285-309.

54.   V.A. Titarev and E.F. Toro. MUSTA schemes for multi-dimensional hyperbolic systems: analysis and improvements // International Journal for Numerical Methods in Fluids. 2005 V. 49. N. 2. p. 117147.

55.   V.A. Titarev and E.M. Shakhov. Numerical study of unsteady evaporation and heat transfer from a spherical surface // Fluid Dynamics. 2005. V. 40. N 1. P. 159-168.

56.   V.A. Titarev and E.F. Toro. ADER schemes for three-dimensional nonlinear hyperbolic systems // Journal of Computational Physics. 2005. V. 204, N. 2, P. 715-736.

57.   E.F. Toro and V.A. Titarev. ADER schemes for scalar hyperbolic conservation laws with source terms in three space dimensions // Journal of Computational Physics. 2005. V. 202. N. 1. P. 196-215.

58.   V.A. Titarev and E.F. Toro. WENO schemes based on upwind and centred TVD fluxes // Computers and Fluids. 2005. V 34. N. 6. p. 705-720.

59.   V.A. Titarev and E.F. Toro. Finite-volume WENO schemes for three-dimensional conservation laws // Journal of Computational Physics. 2004. V. 201. N. 1. P. 238-260.

60.   V. A. Titarev and E. M. Shakhov. Numerical study of intense unsteady evaporation from the surface of a sphere // Computational Mathematics & Mathematical Physics. 2004. V. 44. N 7. p. 1245-1258.

61.   V.A. Titarev and E.F. Toro. High order ADER schemes for the scalar advection-reaction-diffusion equations // CFD Journal. 2003. V11. N. 1. p. 7-18.

62.   V. A. Titarev and E. M. Shakhov. Heat transfer and evaporation from a plane surface into a half-space upon a sudden increase in body temperature // Fluid Dynamics. 2002. V. 37. N1. p. 126-137.

63.   E.F. Toro and V.A. Titarev. Solution of the generalized Riemann problem for advection-reaction equations // Proceedings of Royal Society of London. 2002. 458(2018). P. 271-281.

64.   V.A. Titarev and E.F. Toro. ADER: arbitrary high order Godunov approach // Journal of Scientific Computing. 2002. V17. p. 609-618.

65.   V. A. Titarev and E. M. Shakhov. Flow computation in the bottom vacuum region behind a plate in a hypersonic rarefied gas stream // Computational Mathematics & Mathematical Physics. 2001. V 41. N9. p. 1372- 1384.

66.   V. A. Titarev and E. M. Shakhov. Supersonic rarefied gas flow behind the trailing edge of a smooth plate // Computational Mathematics & Mathematical Physics. 2000. . 40. N. 3, . 483-494.

67.   V.A. Titarev and E.M. Shakhov. Mixing layer of supersonic rarefied streams past trailing edge of a smooth plate plane // Journal of Mathematical Modelling (in Russian). 1999. V 11. N4. p 37-48.

68.   V.A. Titarev and E.M. Shakhov. Two-dimensional flow of rarefied gas in half-space caused by absorption at part of plane boundary // Journal of Mathematical Modelling (in Russian). 1999. V 11. N4. p. 3-16.

 

Conference Proceedings

1.       .. . // , 2015 .

2.       E.M. Shakhov and V.A. Titarev. Time-dependent rarefied gas flow into vacuum from a long circular pipe closed at one end // Rarefied Gas Dynamics. Proc. 29th Int. Symp., AIP Conf. Proc. 1628, 2014, p. 1071-1078.

3.       V.A. Titarev and E.M. Shakhov. Rarefied gas flow into vacuum through a long circular pipe composed of two sections of different radii // Rarefied Gas Dynamics. Proc. 29th Int. Symp., AIP Conf. Proc. 1628, 2014, p. 815-823.

4.       V.A. Titarev and E.M. Shakhov. Numerical study of the Poiseuille and thermal creep flow of nitrogen in long capillaries // Rarefied Gas Dynamics. Proc. 28th Int. Symp., AIP Conf. Proc. 1501, 2012, p. 765-770.

5.       V.A. Titarev. Direct numerical solution of model kinetic equations for flows in arbitrary three-dimensional geometries // Rarefied Gas Dynamics. Proc. 28th Int. Symp., AIP Conf. Proc. 1501, 2012, p. 262-271.

6.       V.A. Titarev and E.M. Shakhov. Rarefied gas flow through a long circular pipe into vacuum // Rarefied Gas Dynamics. Proc. 28th Int. Symp., AIP Conf. Proc. 1501, 2012, p. 465-472.

7.       E.M. Shakhov and V.A. Titarev. Efficient solution method for rarefied gas flow in long finite-length channels // Rarefied Gas Dynamics. Proc. 28th Int. Symp., AIP Conf. Proc. 1501, 2012, p. 473-480.

8.       V.A. Titarev. Efficient numerical solution of the model kinetic equations. 2013, Numerical Methods for Hyperbolic Equations, editor Vazquez-Cendon et al., p. 293-300, Taylor \& Francis Group, London.

9.       V.A. Titarev, Direct numerical solution of model kinetic equations for flows in arbitrary three-dimensional geometries, 2012, Rarefied Gas Dynamics. Proc. 28th Int. Symp., AIP Conf. Proc. 1501, p. 262-271.

10.   V.A. Titarev and E.M. Shakhov, Rarefied gas flow through a long circular pipe into vacuum, 2012, Rarefied Gas Dynamics. Proc. 28th Int. Symp., AIP Conf. Proc. 1501, p. 465-472.

11.   E.M. Shakhov and V.A. Titarev, Efficient solution method for rarefied gas flow in long finite-length channels, 2012, Rarefied Gas Dynamics. Proc. 28th Int. Symp., AIP Conf. Proc. 1501, p. 473-480.

12.   V.A. Titarev and E.M. Shakhov, Numerical study of the Poiseuille and thermal creep flow of nitrogen in long capillaries, 2012, Rarefied Gas Dynamics. Proc. 28th Int. Symp., AIP Conf. Proc. 1501, p. 765-770

13.   S. Tissera, V. Titarev and D. Drikakis. Chemically Reacting Flows around a Double-cone, Including Ablation Effects. AIAA 2010-1285 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition 4 - 7 January 2010, Orlando, Florida

14.   Zhong, B., Scheurich, F., Titarev, V., Drikakis, D. Turbulent flow simulations around a multi-element airfoil using URANS, DES and ILES approaches. 2009. 19th AIAA Computational Fluid Dynamics Conference , art. no. 2009-3799

15.   Russo G, Toro EF, Titarev VA. ADER-Runge-Kutta schemes for conservation laws in one space dimension. 11th International Conference on Hyperbolic Problems, JUL 17-21, 2006 Lyon, France. Hyperbolic problems: Theory, numerics, applications Proceedings of the 11th international conference on hyperbolic problems   Pages: 929-936   Published: 2008.

16.   V.A. Titarev, E.M. Shakhov, V.A. Rykov, V. G. Soudakov. Numerical study of transverse supersonic flow of monatomic and diatomic gases past a plate. In Proceedings of the 25th International Symposium on Rarefied Gas Dynamics (RGD), Editors: M.S. Ivanov and A.K. Rebrov, Novosibirsk, 2007, pp. 274279.

17.   E.M. Shakhov, V V.A. Titarev. Numerical study of the spiral cylindrical Couette flow of rarefied gas. In Proceedings of the 25th International Symposium on Rarefied Gas Dynamics (RGD), editors M.S. Ivanov and A.K. Rebrov, Novosibirsk, 2007, pp. 257--262

18.   E.F. Toro, M. Dumbser, V.A. Titarev and M. Kaser. The Derivative Riemann Problem: The Basis for High Order ADER Schemes. In Proceedings of ECCOMAS CFD 2006 Conference, September 5-8, 2006 Editors: P. Wessling, E. Onate and J. Periaux. Tu Delft. The Netherlands.

19.   G. Vignoli, E.F. Toro and V. Titarev. ADER schemes for the shallow water equations in channels with irregular bottom elevation. In Proceedings of ECCOMAS CFD 2006 Conference, September 5-8, 2006 Egmond van Zee, The Netherlands.

20.   V.A. Titarev, Conservative numerical methods for advanced model kinetic equations. In Proceedings of ECCOMAS CFD 2006 Conference, September 5-8, 2006 Egmond van Zee, The Netherlands.

21.   V. A. Titarev, E.I. Romenski and E.F. Toro. Development and application of generalized MUSTA schemes. In Proceedings of ECCOMAS CFD 2006 Conference, September 5-8, 2006 Egmond van Zee, The Netherlands.

22.   V.A. Titarev and E.F. Toro. ADER schemes for hyperbolic conservation laws with reactive terms. In Proceedings of ECCOMAS CFD 2006 Conference, September 5-8, 2006 Egmond van Zee, The Netherlands.

23.   C Woodley, D. Finbow, V. Titarev and E.Toro (2005). Two-dimensional modelling of mortar internal ballistics. 22nd International symposium on ballistics. Vancouver BC, Canada, 14-18 November, pp 307 314.

24.   V.A. Titarev and E.M. Shakhov (2004). Numerical study of essentially unsteady evaporation. In Proceedings of the 24th International Symposium on Rarefied Gas Dynamics (RGD), Bari, Italy, 2004, pp. 379-448.

25.   V.A. Titarev and E.F. Toro. (2004). ADER schemes for shallow water equations with pollutant transport. In Proceedings of XXIX Convegno di Idraulica e Costruzioni Idrauliche, Trento, Italia, 7-10 settembre 2004, V. 1, pp. 909-914

26.   V.A. Titarev. Towards fully conservative numerical methods for the nonlinear model Boltzmann equation. 2003, Preprint NI03031-NPA, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, Cambridge, UK, p. 13.

27.   V.A. Titarev and E.F. Toro. (2003). Advanced computational methods for multiphase flow. In Proceedings of the International Workshop on Advanced Numerical Methods for Multidimensional Simulation of Two-Phase Flow, September 15-16, 2003 at GRS Garching.

28.   E.F. Toro and V.A. Titarev (2001). Very high order Godunov-type schemes for nonlinear scalar conservation laws. In: European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS Computational Fluid Dynamics Conference 2001, Swansea, Wales, UK, 4-7 September, 2001.

29.   E.F. Toro and V.A. Titarev (2001). The ADER approach for nonlinear advection-diffusion-reaction equations. In: The 8th National Conference on Computational Fluid Dynamics, E-Land, Taiwan, August 18-20, 2001.

30.   R.C. Millington, V.A. Titarev and E.F. Toro (2001). ADER: High-Order Non-Oscillatory Advection Schemes. Hyperbolic Problems: Theory, Numerics, Applications. Freistulher H and Warnecke G (Editors). ISNM, Vol. 140-1. Birkhauser, pp 723-732, 2001. Germany.

31.   V.A. Titarev and E.M. Shakhov. (2000). Hypersonic rarefied gas flow past a flat plate at right angle of attack. Sbornik: Computational dynamics of rarefied gas, pp. 104-119. Dorodnicyn Computing Center of Russian Academy of Sciences, Moscow, Russia.

32.   V.A. Titarev and E.M. Shakhov. (1998). Rarefied gas motion induced by thermal contact with a hot plane wall. Proceedings of the Second National Russian Conference for Heat Transfer. October 26-30 1998 V. 2, pp. 248 251