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Numerical tools for three dimensional simulations of the rotating detonation engine in complex geometries

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EN
This paper describes the development of a computational code REFLOPS USG (REactive FLOw solver for Propulsion Systems on UnStructured Grids) based on the Favre averaged Navier-Stokes equations with chemical reactions for semi-ideal multicomponent gas to predict the structure and dynamics of three-dimensional unsteady detonation as it occurs in the Rotating Detonation Engine (RDE). This work provides an overview of second order accurate in time and space finite volume method applied to conservation equations and its implementation on unstructured self-adaptive tetrahedral or hexahedral three-dimensional cell-centred meshes. The inviscid fluxes are given by the Riemann solver and stabilization is ensured by the proper limiters inherited from the TVD theory or gradient based limiters. The stiff equations of chemical kinetics are solved by use of implicit DVODE (Double precision Variablecoefficient Ordinary Differential Equation solver, with fixed-leading-coefficient implementation) routine or by explicit Chemeq2 routine. Additional improvements are incorporated into the code such as parallelization in OpenMP and implementation of NVIDIA CUDA technology. REFLOPS USG has become a fundamental numerical tool in the research of RDE at the Institute of Aviation in Warsaw, in frame of Innovative Economy project UDA-POIG.01.03.01-14-071 ‘Turbine engine with detonation combustion chamber’ supported by EU and Ministry of Regional Development, Poland. The simulations presented in this paper are based on inviscid or viscous multicomponent semi-ideal gas flow with chemical reactions. Due to high computational costs only simple chemical reaction mechanisms are used here.
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  • Institute of Aviation, Propulsion Department Krakowska Av. 110/114, 02-256 Warsaw, Poland tel.: +48 22 8460011, ext. 361, fax: +48 22 8464432
autor
  • Institute of Aviation, Propulsion Department Krakowska Av. 110/114, 02-256 Warsaw, Poland tel.: +48 22 8460011, ext. 361, fax: +48 22 8464432
autor
  • Institute of Aviation, Propulsion Department Krakowska Av. 110/114, 02-256 Warsaw, Poland tel.: +48 22 8460011, ext. 361, fax: +48 22 8464432
autor
  • Institute of Aviation, Propulsion Department Krakowska Av. 110/114, 02-256 Warsaw, Poland tel.: +48 22 8460011, ext. 361, fax: +48 22 8464432
autor
  • Institute of Aviation, Propulsion Department Krakowska Av. 110/114, 02-256 Warsaw, Poland tel.: +48 22 8460011, ext. 361, fax: +48 22 8464432
Bibliografia
  • [1] Chase, M. W., et al., JANAF Thermochemical Tables, 3rd ed. J. Phys. Chem. Ref. Data., Vol. 15. Suppl. 1, 1985.
  • [2] Folusiak, M., Development of simulation methods of rotating detonation in complex geometries, PhD diss., WUT, Warsaw 2013.
  • [3] Hu, X. Y., et al., The structure and evolution of a two-dimensional H2/O2/Ar cellular detonation, Shock Waves, Vol. 14., pp. 37-44, 2005.
  • [4] Kindracki, J., et al., Experimental and numerical study of the Rotating Detonation Engine in hydrogen-air mixtures, Progress in Propulsion Physics, Vol. 2, pp. 555-582, 2011.
  • [5] Kindracki, J., Experimental research and numerical simulations of the inititiation of gaseous rotating detonation, PhD diss., WUT, Warsaw 2008.
  • [6] Kuo, K. K. Y., Principles of Combustion, 2nd edition, John Wiley and Sons, New York 2005.
  • [7] Leblanc, J. E., Lefebvre, M. H., Fujiwara, T, Detailed Flowfields of a RAMAC Device in H2- O2 Full Chemistry, Shock Waves, Vol. 6., pp. 85-92, 1996.
  • [8] Lefebvre, M. H., Fujiwara, T., Robust Euler Codes for Hypersonic Reactive Flows, Memoirs of the School of Engineering, Vol. 26, pp. 1-54, Nagoya 1994.
  • [9] Milanowski, K., et al., Numerical Simulation of Rotating Detonation in Cylindrical Channel, 21st ICDERS, Poitiers 2007.
  • [10] Petersen, E. L., Hanson, R. K., Reduced Kinetics Mechanisms for Ram Accelerator Combustion, Journal of Propulsion and Power, Vol. 15, pp. 591-600, 1999.
  • [11] Sarkar, S., Balakrishnan, L., Application of a Reynolds-Stress turbulence model to the compressible shear layer, ICASE Report 90-18, NASA CR 182002, Hampton 1990.
  • [12] Swiderski, K., Numerical modelling of the rotating detonation combustion chamber, PhD diss., WUT, Warsaw 2013.
  • [13] Toro, E. F., A weighted average flux method for hyperbolic conservation laws, Proc Roy Soc Lond A., Vol. 423, pp. 401-418, 1989.
  • [14] Toro, E. F., Riemann Solvers and Numerical Methods for Fluid Dynamics, 3rd edition, Springer, Berlin 2010.
  • [15] Toro, E.F., Spruce, M., Speares, W., Restoration of the Contact Surface in the HLL-Riemann Solver, Technical Report CoA-9204, Department of Aerospace Science, Collegue of Aeronautics, Cranfield Institute of Technology, UK 1992.
  • [16] Toro, E. F., et al., Restoration of the Contact Surface in the HLL–Riemann Solver, Shock Waves, Vol. 4, pp. 25-34, 1994.
  • [17] Toro, E. F., The weighted average flux method applied to the Euler equations, Philos Trans Roy Soc Lond A., Vol. 341, pp. 499-530, 1992.
  • [18] Tsuboi, N., Katoh, S., Hayashi, A. K., Three-dimensional numerical simulation for hydrogen/air detonation: Rectangular and diagonal structures, Proceedings of the Combustion Institute, Vol. 29, pp. 2783-2788., Pittsburg 2002.
  • [19] Zeldovich, Y. B., Kompaneets, A. S., Theory of Detonation, Academic Press, New York & London 1960.
  • [20] Ziegler, J. L., et al., An adaptive high-order hybrid scheme for compressive, viscous flows with detailed chemistry, J. Comput. Phys., Vol. 230, pp. 7598-7630, Pasadena 2011.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6fea5737-7cd9-4e66-b21d-07266ecb639e
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