Zusammenfassung
In diesem abschließenden Kapitel werden einige spezielle Themen behandelt. Dazu gehören: Wärmeaustausch zwischen Strömungen getrennt durch Wände; Strömungen mit freien Oberflächen oder variablen Fluideigenschaften; meteorologische und ozeanographische Anwendungen; die Behandlung beweglicher Ränder, die bewegliche Gitter erfordern; die Simulation von Kavitation; Fluid-Struktur-Wechselwirkung. Spezielle Effekte in Strömungen mit Wärme- und Massentransfer, Zwei-Phasen-Strömungen und Strömungen mit chemischen Reaktionen werden kurz diskutiert. Die Zwangsmethoden, wie sie z.B. zur Verhinderung der Wellenreflexion an den Rändern des Lösungsgebiets verwendet werden, werden ebenfalls beschrieben. Anhand von Beispielrechnungen mit kommerzieller CFD-Software werden diese speziellen Themen erläutert.
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Notes
- 1.
Gilmanov et al. (2015) berichten über FSI für mehrere Probleme, einschließlich einer Herzklappe; LES mit einer Teilschrittmethode.
Literatur
Abe, K., Jang, Y.-J. & Leschziner, M. A. (2003). An investigation of wall-anisotropy expressions and length-scale equations for non-linear eddy-viscosity models. Int. J. Heat Fluid Flow, 24, 181–198.
Armfield, S. & Street, R. (2005). A comparison of staggered and non-staggered grid Navier-Stokes solutions for the 8:1 cavity natural convection flow. ANZIAM J., 46 (E), C918–C934.
Beig, S. A. & Johnsen, E. (2015). Maintaining interface equilibrium conditions in compressible multiphase flows using interface capturing. J. Comput. Phys, 302, 548–566.
Berchiche, N., Östman, A., Hermundstad, O. A. & Reinholdtsen, S.-A. (2015). Experimental validation of CFD simulations of free-fall lifeboat launches in regular waves. Ship Technology Research, 62, 148–158.
Brackbill, J. U., Kothe, D. B. & Zemaach, C. (1992). A continuum method for modeling surface tension. J. Comput. Phys., 100, 335–354.
Bunner, B. & Tryggvason, G. (1999). Direct numerical simulations of three-dimensional bubbly flows. Phys. Fluids, 11, 1967–1969.
Cebeci, T. & Bradshaw, P. (1984). Physical and computational aspects of convective heat transfer. New York: Springer.
Chen, S., Johnson, D. B., Raad, P. E. & Fadda, D. (1997). The surface marker and micro-cell method. Intl. J. Num. Methods Fluids, 25, 749–778.
Crowe, C., Sommerfeld, M. & Tsuji, Y. (1998). Multiphase flows with droplets and particles. Boca Raton, Florida: CRC Press.
Deike, L., Melville, W. K. & Popinet, S. (2016). Air entrainment and bubble statistics in breaking waves. J. Fluid Mech., 801, 91–129.
Demirdžić, I. (2016). A fourth-order finite volume method for structural analysis. Appl. Math. Modelling, 40, 3104–3114.
Demirdžić, I. & Muzaferija, S. (1994). Finite volume method for stress analysis in complex domains. Int. J. Numer. Methods Engrg., 37, 3751–3766.
Demirdžić, I. & Muzaferija, S. (1995). Numerical method for coupled fluid flow, heat transfer and stress analysis using unstructured moving meshes with cells of arbitrary topology. Comput. Methods Appl. Mech. Engrg., 125, 235–255.
Demirdžić, I. & Perić, M. (1988). Space conservation law in finite volume calculations of fluid flow. Int. J. Numer. Methods Fluids, 8, 1037–1050.
Demirdžić, I. & Perić, M. (1990). Finite volume method for prediction of fluid flow in arbitrarily shaped domains with moving boundaries. Int. J. Numer. Methods Fluids, 10, 771–790.
Demirdžić, I., Muzaferija, S. & Perić, M. (1997). Benchmark solutions of some structural analysis problems using finite-volume method and multigrid acceleration. Int. J. Numer. Meth. Engrg., 40, 1893–1908.
Durst, F., Kadinskii, L., Perić, M. & Schäfer, M. (1992). Numerical study of transport phenomena in MOCVD reactors using a finite volume multigrid solver. J. Crystal Growth, 125, 612–626.
Enright, D., Fedkiw, R., Ferziger, J. H. & Mitchell, I. (2002). A hybrid particle level set method for improved interface capturing. J. Comput. Phys., 183, 83–116.
Farmer, J., Martinelli, L. & Jameson, A. (1994). Fast multigrid method for solving incompressible hydrodynamic problems with free surfaces. AIAA J., 32, 1175–1182.
Fenton, J. D. (1985). A fifth-order Stokes theory for steady waves. J. Waterway, Port, Coastal, Ocean Eng., 111, 216–234.
Forbes, L. K. (1988). Critical free surface flow over a semicircular obstruction. J. Engrg. Math., 22, 3–13.
Galpin, P. F. & Raithby, G. D. (1986). Numerical solution of problems in incompressible fluid flow: treatment of the temperature-velocity coupling. Numer. Heat Transfer, 10, 105–129.
Gilmanov, A., Le, T. B. & Sotiropoulos, F. (2015). A numerical approach for simulating fluid structure interaction of flexible thin shells undergoing arbitrarily large deformations in complex domains. J. Comput. Phys., 300, 814–843.
Gomes, J. P. & Lienhart, H. (2010). Fluid-structure interaction-induced oscillation of flexible structures in laminar and turbulent flows. J. Fluid Mech., 715, 537–572.
Gomes, J. P., Yigit, S., Lienhart, H. & Schäfer, M. (2011). Experimental and numerical study on a laminar fluid-structure interaction reference test case. J. Fluids & Struc., 27, 43–61.
Hadžić, H. (2005). Development and application of a finite volume method for the computation of flows around moving bodies on unstructured, overlapping grids (PhD Dissertation). Technische Universität Hamburg-Harburg.
Harlow, F. H. & Welsh, J. E. (1965). Numerical calculation of time dependent viscous incompressible flow with free surface. Phys. Fluids, 8, 2182–2189.
Harvie, D. J. E., Davidson, M. R. & Rudman, M. (2006). An analysis of parasitic current generation in Volume-of-Fluid simulations. Appl. Math. Modelling, 30, 1056–1066.
Heinke, H. J. (2011). Potsdam propellet test case (Bericht Nr. 3753). Potsdam, Germany: SVA Potsdam.
Heus, T., van Heerwaarden, C. C., Jonker, H. J. J., Siebesma, A. P. & amp et al. (2010). Formulation of the Dutch atmospheric large-eddy simulation (DALES) and overview of its applications. Geosci. Model Dev., 3, 415–444.
Hino, T. (1992). Computation of viscous flows with free surface around an advancing ship. In Proc. 2nd Osaka Int. Colloquium on Viscous Fluid Dynamics in Ship and Ocean Technology. Osaka Univ.
Hirt, C. W. & Nichols, B. D. (1981). Volume of fluid (VOF) method for dynamics of free boundaries. J. Comput. Phys., 39, 201–221.
Hodges, B. R. & Street, R. L. (1999). On simulation of turbulent nonlinear free-surface flows. J. Comput. Phys., 151, 425–457.
Ishii, M. (1975). Thermo-fluid dynamic theory of two-phase flow. Paris: Eyrolles.
Ishii, M. & Hibiki, T. (2011). Thermo-fluid dynamics of two-phase flow. New York: Springer.
Johnsen, E. & Ham, F. (2012) . Preventing numerical errors generated by interface-capturing schemes in compressible multi-material flows. J. Comput. Phys., 231, 5705–5717.
Kadinski, L. & Perić, M. (1996). Numerical study of grey-body surface radiation coupled with fluid flow for general geometries using a finite volume multigrid solver. Int. J. Numer. Meth. Heat Fluid Flow, 6, 3–18.
Kawamura, T. & Miyata, H. (1994). Simulation of nonlinear ship flows by density-function method. J. Soc. Naval Architects Japan, 176, 1–10.
Kays, W. M. & Crawford, M. E. (1978). Convective heat and mass transfer. New York: McGraw-Hill.
Khani, S. & Porté-Agel, F. (2017). A modulated-gradient parameterization for the large-eddy simulation of the atmospheric boundary layer using the Weather Research and Forecasting model. Boundary-Layer Meteorol. 165, 385–404.
Koshizuka, S., Tamako, H. & Oka, Y. (1995). A particle method for incompressible viscous flow with fluid fragmentation. Computational Fluid Dynamics J., 4, 29–46.
Lafaurie, B., Nardone, C., Scardovelli, R., Zaleski, S. & Zanetti, G. (1994). Modelling merging and fragmentation in multiphase flows with SURFER. J. Comput. Phys., 113, 134–147.
Leonard, B. P. (1997). Bounded higher-order upwind multidimensional finite-volume convection-diffusion algorithms, Chap. 1. In W. J. Minkowycz & E. M. Sparrow (Hrsg.), Advances in Numerical Heat Transfer (S. 1–57). New York: Taylor and Francis.
Lilek, Ž. (1995). Ein Finite-Volumen Verfahren zur Berechnung von inkompressiblen und kompressiblen Strömungen in komplexen Geometrien mit beweglichen Rändern und freien Oberflächen (PhD Dissertation). University of Hamburg, Germany.
McMurtry, P. A., Jou, W. H., Riley, J. J. & Metcalfe, R. W. (1986). Direct numerical simulations of a reacting mixing layer with chemical heat release. AIAA J., 24, 962–970.
Mellor, G. L. & Yamada, T. (1982). Development of a turbulence closure model for geophysical fluid problems. Rev. Geophysics, 20, 851–875.
Mørch, H. J., Enger, S., Perić, M. & Schreck, E. (2008). Simulation of lifeboat launching under storm conditions. In 6th international conference on CFD in oil and gas, metallurgical and process industries. Trondheim, Norway.
Mørch, H. J., Perić, M., Schreck, E., el Moctar, O. & Zorn, T. (2009). Simulation of Flow and Motion of Lifeboats. In ASME 28th International Conference on Ocean, Offshore and Arctic Engineering. Honolulu, Hawaii.
Morrison, H. & Pinto, J. O. (2005). Intercomparison of bulk cloud microphysics schemes in mesoscale simulations of springtime arctic mixed-phase stratiform clouds. Mon. Wea. Rev., 134, 1880–1900.
Mortazavi, M., Le Chenadec, V., Moin, P. & Mani, A. (2016). Direct numerical simulation of a turbulent hydraulic jump: Turbulence statistics and air entrainment. J. Fluid Mech., 797, 60–94.
Muzaferija, S. & Perić, M. (1997). Computation of free-surface flows using finite volume method and moving grids. Numer. Heat Transfer,Part B, 32, 369–384.
Muzaferija, S. & Perić, M. (1999). Computation of free surface flows using interface-tracking and interface-capturing methods. In O. Mahrenholtz & M. Markiewicz (Hrsg.), Nonlinear Water Wave Interaction, Chap. 2 (S. 59–100). Southampton: WIT Press.
Osher, S. & Fedkiw, R. (2003). Level set methods and dynamic implicit surfaces. New York: Springer-Verlag.
Osher, S. & Sethian, J. A. (1988). Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys., 79, 12–49.
Patankar, S. V. & Spalding, D. B. (1977) Genmix: A general computer program for two-dimensional parabolic phenomena. Oxford: Pergamon Press.
Perić R. & Abdel-Maksoud, M. (2018). Analytical prediction of reflection coefficients for wave absorbing layers in flow simulations of regular free-surface waves. Ocean Engineering, 47, 132-147.
Perié R. (2019). Minimierung unerwünschter Wellenreflexionen an den Gebietsrändern bei Strömungssimulationen mit Forcing Zones (PhD Dissertation). Technische Universität Hamburg, Germany.
Peters, N. (2000). Turbulent Combustion. Cambridge: Cambridge Univ. Press.
Poinsot, T., Veynante, D. & Candel, S. (1991). Quenching processes and premixed turbulent combustion diagrams. J. Fluid Mech., 228, 561–605.
Qin, Z., Delaney, K., Riaz, A. & Balaras, E. (2015). Topology preserving advection of implicit interfaces on Cartesian grids. J. Comput. Phys., 290, 219–238.
Raithby, G. D., Xu, W.- X. & Stubley, G. D. (1995). Prediction of incompressible free surface flows with an element-based finite volume method. Comput. Fluid Dynamics J., 4, 353–371.
Reinecke, M., Hillebrandt, W., Niemeyer, J. C., Klein, R. & Gröbl, A. (1999). A new model for deflagration fronts in reactive fluids. Astronomy and Astrophysics, 347, 724–733.
Rider, W. J. & Kothe, D. B. (1998). Reconstructing volume tracking. J. Comput. Phys., 141, 112–152.
Sauer, J. (2000). Instationär kavitierende Strömungen - ein neues Modell, basierend auf Front Capturing (VoF) und Blasendynamik (PhD Dissertation). University of Karlsruhe, Germany.
Scardovelli, R. & Zaleski, S. (1999). Direct numerical simulation of free-surface and interfacial flow. Annu. Rev. Fluid Mech., 31, 567–603.
Schalkwijk, J., Griffith, E., Post, F. H. & Jonker, H. J. J. (2012a). High-performance simulations of turbulent clouds on a desktop PC: Exploiting the GPU. Bull. Amer. Met. Soc., 93, 307–314.
Schalkwijk, J., Jonker, H. J. J., Siebesma, A. P. & van Meijgaard, E. (2015). Weather forecasting using GPU-based large-eddy simulations. Bull. Amer. Met. Soc., 96, 715–723.
Schnerr, G. H. & Sauer, J. (2001). Physical and Numerical Modeling of Unsteady Cavitation Dynamics. In Fourth International Conference on Multiphase Flow. New Orleans, USA.
Sethian, J. A. (1996). Level set methods. Cambridge: Cambridge U. Press.
Shabana, A. A. (2013). Dynamics of Multibody Systems (4. Aufl.). New York, USA: Cambridge U. Press.
Shi, X., Hagen, H. L., Chow, F. K., Bryan, G. H. & Street, R. L. (2018a). Large-eddy simulation of the stratocumulus-capped boundary layer with explicit filtering and reconstruction turbulence modeling. J. Atmos. Sci., 75, 611–637.
Shi, X., Chow, F. K., Street, R. L. & Bryan, G. H. (2018b). An evaluation of LES turbulence models for scalar mixing in the stratocumulus-capped boundary layer. J. Atmos. Sci., 75, 1499–1507.
Skyllingstad, E. D. & Samelson, R. M. (2012). Baroclinic frontal instabilities and turbulent mixing in the surface boundary layer. Part I: Unforced simulations. J. Phys. Ocean., 42, 1701–1716.
Smiljanovski, V., Moser, V. & Klein, R. (1997). A capturing-tracking hybrid scheme for deflagration discontinuities. Combustion Theory and Modelling, 1, 183–215.
Spalding, D. B. (1978). General theory of turbulent combustion. J. Energy, 2, 16–23.
Sullivan, P. P., C., W. J., Patton, E. G., Jonker, H. J. J. & Mironov, D. V. (2016). Turbulent winds and temperature fronts in large-eddy simulations of the stable atmospheric boundary layer. J. Atmos. Sci., 73, 1815–1840.
Sussman, M. (2003). A second-order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles. J. Comput. Phys., 187, 110–136.
Sussman, M., Smereka, P. & Osher, S. (1994). A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys., 114, 146–159.
Thé, J. L., Raithby, G. D. & Stubley, G. D. (1994). Surface-adaptive finite-volume method for solving free-surface flows. Numer. Heat Transfer, Part B, 26, 367–380.
Tregde, V. (2015). Compressible air effects in CFD simulations of free fall lifeboat drop. In it ASME 34th International Conference on Ocean, Offshore and Arctic Engineering. St John’s, Newfoundland, Canada.
Tryggvason, G. & Unverdi, S. O. (1990). Computations of 3-dimensional Rayleigh-Taylor instability. Phys. Fluids A, 2 656–659.
Ubbink, O. (1997). Numerical prediction of two fluid systems with sharp interfaces. (PhD Dissertation). University of London, London.
Vukčević, V., Jasak, H. & Gatin, I. (2017). Implementation of the ghost fluid method for free surface flows in polyhedral finite volume framework. Computers Fluids, 153, 1–19.
Washington, W. M. & Parkinson, C. L. (2005). An introduction to three-dimensional climate modeling (2. Aufl.). Sausalito, CA: University Sci. Books.
Weymouth, G. & Yue, D. K. P. (2010). Conservative volume-of-fluid method for free-surface simulations on Cartesian grids. J. Comput. Phys., 229, 2853–2865.
Williams, F. A. 1985. Combustion theory: the fundamental theory of chemically reacting flow systems. Menlo Park, CA: Benjamin-Cummings Pub. Co.
Youngs, D. L. (1982). Time-dependent multi-material flowwith large fluid distortion. In K.W. Morton & M. J. Baines (Hrsg.), Numerical methods for fluid dynamics (S. 273-285). Academic Press, New York.
Zhang, H., Zheng, L. L., Prasad, V. & Hou, T. Y. (1998). A curvilinear level set formulation for highly deformable free surface problems with application to solidification. Numer. Heat Transfer, 34, 1–20.
Zwart, P. J., Gerber, G. & Belamri, T. (2004). A two-phase flow model for prediction of cavitation dynamics. In Fifth International Conference on Multiphase Flow. Yokohama, Japan.
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Ferziger, J.H., Perić, M., Street, R.L. (2020). Spezielle Themen. In: Numerische Strömungsmechanik. Springer Vieweg, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46544-8_13
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