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Numerik und zukünftige Entwicklungen

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Grundlagen Verbrennungsmotoren

Part of the book series: ATZ/MTZ-Fachbuch ((ATZMTZ))

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Zusammenfassung

Dieses Kapitel ist den numerischen Verfahren zur Lösung der im vorigen Kapitel vorgestellten Navier-Stokes Gleichungen gewidmet. Der Schwerpunkt wird auf Finite-Volumen-Verfahren gelegt, die üblicherweise in motorischen CFD-Codes zum Einsatz kommen. Neben dem numerischen Schema spielt insbesondere das Berechnungsnetz eine Schlüsselrolle, was anhand verschiedener Beispiele diskutiert wird. Abgeschlossen wird das Kapitel mit der direkten Numerik-Simulation der Strömung im Brennraum, die aufgrund besonders hoher räumlicher und zeitlicher Auflösung ohne Modellierung der Turbulenz auskommt.

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Notes

  1. 1.

    Die Größe \(\text{Pe} = v\Updelta x/D\) nennt man auch Peclet‐Zahl.

  2. 2.

    θ(x) bezeichnet die Heaviside‐Funktion: \( \theta (x) = \begin{cases} +1 & x \geq 0 \\ -1 & x < 0 \end{cases}\).

Literatur

  • Ferziger, J.H., Perić, M.: Computational methods for fluid dynamics. Springer, Berlin, Heidelberg, New York (1996)

    Book  Google Scholar 

  • Fischer, P.F., Lottes, J.W., Kerkemeier, S.G.: nek5000 web page (2008). http://nek5000.mcs.anl.gov

    Google Scholar 

  • Hasse, C.: Scale-resolving simulations in engine combustion process design based on a systematic approach for model development. Int. J. Engine Res. 17(1), 44–62 (2016)

    Article  Google Scholar 

  • Hohenberg, G.F.: Advanced approaches for heat transfer calculations. SAE Technical Paper 790825. (1979)

    Google Scholar 

  • Jafargholi, M., Giannakopoulos, G.K., Frouzakis, C.E., Boulouchos, K. (2017), Effect of turbulence characteristics on flame propagation and flame/wall interactions: DNS of a syngas-air premixed flame in a closed cylindrical domain, in preparation for submission

    Google Scholar 

  • König, G., Blessing, M., Krüger, C., Michels, U., Schwarz, V.: Analysis of flow and cavitation phenomena in diesel injection nozzles and its effects on spray and mixture formation. 5th Internationales Symposium für Verbrennungsdiagnostik der AVL Deutschland, Baden-Baden. (2002)

    Google Scholar 

  • Mollenhauer, K., Tschöke, H.: Handbook of diesel engines Bd. 1. Springer, Berlin (2010)

    Book  Google Scholar 

  • Morse, A.P., Whitelaw, J.H., Yianneskis, M.: Turbulent flow measurements by laser-doppler anemometry in motored piston-cylinder assemblies. J. Fluids Eng. 101, 208–216 (1979)

    Article  Google Scholar 

  • Patankar, S.V.: Numerical heat transfer and fluid flow. Hemisphere Publishing, Mc-Graw Hill Comp. (1980)

    MATH  Google Scholar 

  • Schmitt, M. (2014), Direct numerical simulations in engine like geometries, Ph.D. thesis, No. 22284, ETH Zürich, C.H.

    Google Scholar 

  • Schmitt, M., Boulouchos, K.: Role of the intake thermal stratification on the temperature distribution at TDC of the compression stroke. Int. J. Engine Res. (2015)

    Google Scholar 

  • Schmitt, M., Frouzakis, C.E., Tomboulides, A.G., Wright, Y.M., Boulouchos, K.: Direct numerical simulation of multiple cycles in a valve/piston assembly. Phys. Fluids 26(3), 35105 (2014)

    Article  Google Scholar 

  • Schmitt, M., Frouzakis, C.E., Wright, Y.M., Tomboulides, A.G., Boulouchos, K.: Investigation of wall heat transfer and thermal stratification under engine-relevant conditions using DNS. Int. J. Engine Res. (2015)

    Google Scholar 

  • Schmitt, M., Frouzakis, C.E., Wright, Y.M., Tomboulides, A., Boulouchos, K.: Direct numerical simulation of the compression stroke under engine relevant conditions: local wall heat flux distribution. Int. J. Heat Mass Transf. 92, 718–731 (2016)

    Article  Google Scholar 

  • Woschni, G.: A universally applicable equation for the instantaneous heat transfer coefficient in the internal combustion engine. SAE Technical Paper 670931. (1967)

    Google Scholar 

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Correspondence to Christian Krüger .

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Krüger, C., Otto, F., Schmitt, M., Boulouchos, K. (2019). Numerik und zukünftige Entwicklungen. In: Merker, G., Teichmann, R. (eds) Grundlagen Verbrennungsmotoren. ATZ/MTZ-Fachbuch. Springer Vieweg, Wiesbaden. https://doi.org/10.1007/978-3-658-23557-4_48

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