107
Views
8
CrossRef citations to date
0
Altmetric
Section B

Application of the two-step Lax and Wendroff FCT and the CE-SE method to flow transport in wall-flow monoliths

, , &
Pages 71-84 | Received 19 Oct 2012, Accepted 02 Mar 2013, Published online: 15 Apr 2013

REFERENCES

  • V. Bermúdez, J.R. Serrano, P. Piqueras, and O. García-Afonso, Assessment by means of gas dynamic modelling of a pre-turbo diesel particulate filter configuration in a turbocharged HSDI diesel engine under full-load transient operation, Proc. Inst. Mech. Eng. D: J. Automob. Eng. 225(9) (2011), pp. 1134–1155. doi: 10.1177/0954407011402278
  • V. Bermúdez, J.R. Serrano, P. Piqueras, and O. García-Afonso, Analysis of heavy-duty turbocharged diesel engine response under cold transient operation with a pre-turbo aftertreatment exhaust manifold configuration, Int. J. Eng. Res. (2012). doi: 10.1177/1468087412457670
  • D. Book and J. Boris, Flux-corrected transport, II. Generalisations of the method, J. Comput. Phys. 18 (1975), pp. 248–283. doi: 10.1016/0021-9991(75)90002-9
  • J. Boris and D. Book, Flux-corrected transport, I. SHASTA, a fluid transport algorithm that works, J. Comput. Phys. 11 (1973), pp. 38–69. doi: 10.1016/0021-9991(73)90147-2
  • G. Briz and P. Giannattasio, Applicazione dello schema numerico Conservation Element – Solution Element al calcolo del flusso intazionario nei condotti dei motori a C.I., Proceedings of the 48th ATI National Congress, Taomina, Italy, 1993, pp. 233–247.
  • S. Chang and W. To, A new numerical framework for solving conservation laws – the method of space–time conservation element and solution element, NASA Technical Memorandum 104495, 1991.
  • J.M. Desantes, J.R. Serrano, F.J. Arnau, and P. Piqueras, Derivation of the method of characteristics for the fluid dynamic solution of flow advection along porous wall channels, Appl. Math. Model. 36 (2012), pp. 3134–3152. doi: 10.1016/j.apm.2011.09.090
  • J. Galindo, J.R. Serrano, F.J. Arnau, and P. Piqueras, Description of a semi-independent time discretization methodology for a one-dimensional gas dynamics model, J. Eng. Gas Turbines Power 131(3) (2009) 034504–5. doi: 10.1115/1.2983015
  • J. Galindo, J.R. Serrano, P. Piqueras, and O. García-Afonso, Heat transfer modelling in honeycomb wall-flow diesel particulate filters, Energy 43 (2012), pp. 201–2013. doi: 10.1016/j.energy.2012.04.044
  • L. Gascón, Estudio de esquemas en diferencias finitas para el cálculo del flujo compresible, unidimensional, no estacionario y no isoentrópico, Ph.D. thesis, Universitat Politècnica de València, 1995.
  • T. Ikeda and T. Nakagawa, On the SHASTA FCT algorithm for the equation , Math. Comput. 33 (1979), pp. 1157–1169.
  • W. Kaplan, Advanced Calculus, Chap. §5.5 Green's Theorem, Addison-Wesley, Reading, MA, 1991.
  • P. Lax and B. Wendroff, Systems of conservation laws, Comm. Pure Appl. Math. 17 (1964), pp. 381–398. doi: 10.1002/cpa.3160170311
  • J. Liu, N. Schorn, C. Schernus, and L. Peng, Comparison studies on the method of characteristics and finite difference methods for one-dimensional gas flow through IC engine manifold, SAE Technical Paper 960078, SAE International, Detroit, MI, 1996.
  • H. Niessner and T. Bulaty, A family of flux-correction methods to avoid overshoot occurring with solutions of unsteady flow problems, Proceedings of the GAMM Conference of Numerical Methods in Fluid Mechanics, Paris, France, 1981, pp. 241–50.
  • F. Payri, J.M. Desantes, and A. Broatch, Modified impulse method for the measurement of the frequency response of acoustic filters to weakly nonlinear transient excitations, J. Acoust. Soc. Am. 107(2) (2000), pp. 731–738. doi: 10.1121/1.428256
  • F. Piscaglia and G. Ferrari, A novel 1D approach for the simulation of unsteady reacting flows in diesel exhaust after-treatment systems, Energy 34 (2009), pp. 2051–2062. doi: 10.1016/j.energy.2008.08.022
  • M. Schejbal, J. Stepanek, M. Marek, P. Kocia, and M. Kubicek, Modelling of soot oxidation by NO2 in various types of diesel particulate filters, Fuel 89 (2010), pp. 2365–2375. doi: 10.1016/j.fuel.2010.04.018
  • J.R. Serrano, F.J. Arnau, P. Piqueras, A. Onorati, and G. Montenegro, 1D gas dynamic modelling of mass conservation in engine duct systems with thermal contact discontinuities, Math. Comput. Model. 49 (2009), pp. 1078–1088. doi: 10.1016/j.mcm.2008.03.015
  • J.R. Serrano, H. Climent, P. Piqueras, and O. García-Afonso, Analysis of shock capturing methods for chemical species transport in unsteady compressible flow, Math. Comput. Model. 57 (2012), pp. 1751–1759. doi: 10.1016/j.mcm.2011.11.026
  • A.J. Torregrosa, J.R. Serrano, F.J. Arnau, and P. Piqueras, A fluid dynamic model for unsteady compressible flow in wall-flow diesel particulate filters, Energy 36 (2011), pp. 671–684. doi: 10.1016/j.energy.2010.09.047
  • X.Y. Wang, C.Y. Chow, and S.C. Chang, Application of the space–time conservation element and solution element method to shock-tube problem, NASA TM-106806, NASA, Cleveland, OH, 1994.
  • X.Y. Wang, S.C. Chang, and P.C.E. Jorgenson, Accuracy study of the space–time CE/SE method for computational aeroacoustics problems involving shock waves, 38th Aerospace Science Meeting & Exhibit, Reno, USA, AIAA-2000-0474, 2000.
  • D. Winterbone and R. Pearson, Theory of Engine Manifold Design: Wave Action Methods for IC Engines, Professional Engineering Publishing, London and Bury St. Edmunds, UK, 2000.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.