Large eddy simulation of multiphase flows using the volume of fluid method: Part 1—Governing equations and a priori analysis

Markus Klein1, S. Ketterl1, Josef Haßlberger1
1Department of Aerospace Engineering, Bundeswehr University Munich, Werner-Heisenberg-Weg 39, 85577, Neubiberg, Germany

Tóm tắt

Từ khóa


Tài liệu tham khảo

Alajbegovic, A. 2001. Large-eddy simulation formalism applied to multiphase flows. In: Proceedings of ASME 2001 Fluids Engineering Division Summer Meeting, 529–534.

Aniszewski, W., Boguslawski, A., Marek, M., Tyliszczak, A. 2012. A new approach to sub-grid surface tension for LES of two-phase flows. J Comput Phys, 231: 7368–7397.

Buonfiglioli, M., Mendonça, F. 2005. LES-VOF simulation of primary diesel spray break-up with synthetic inlet perturbations. In: Proceedings of the 18th International Conference on Liquid Atomization and Spray Systems, 93.

Chesnel, J., Menard, T., Reveillon, J., Demoulin, F. X. 2011a. Subgrid analysis of liquid jet atomization. Atomization Spray, 21: 41–67.

Chesnel, J., Reveillon, J., Menard, T., Demoulin, F. X. 2011b. Large eddy simulation of liquid jet atomization. Atomization Spray, 21: 711–736.

Clark, R. A., Ferziger, J. H., Reynolds, W. C. 1979. Evaluation of subgrid-scale models using an accurately simulated turbulent flow. J Fluid Mech, 91: 1–16.

De Villiers, E., Gosman, A., Weller, H. 2004. Large eddy simulation of primary diesel spray atomization. SAE Technical Paper 2004-01-0100.

Fulgosi, M., Lakehal, D., Banerjee, S., de Angelis, V. 2003. Direct numerical simulation of turbulence in a sheared air-water flow with a deformable interface. J Fluid Mech, 482: 319–345.

Garnier, E., Adams, N., Sagaut, P. 2009. Large Eddy Simulation for Compressible Flows. Dordrecht: Springer Netherlands.

Hasslberger, J., Ketterl, S., Klein, M., Chakraborty, N. 2019. Flow topologies in primary atomization of liquid jets: A direct numerical simulation analysis. J Fluid Mech, 859: 819–838.

Hasslberger, J., Klein, M., Chakraborty, N. 2018. Flow topologies in bubble-induced turbulence: A direct numerical simulation analysis. J Fluid Mech, 857: 270–290.

Herrmann, M. 2013. A sub-grid surface dynamics model for sub-filter surface tension induced interface dynamics. Comput Fluids, 87: 92–101.

Herrmann, M. 2015. A dual-scale LES subgrid model for turbulent liquid/gas phase interface dynamics. In: Proceedings of the 15th International Symposium on Numerical Methods for Multiphase Flow, Paper No. AJKFluids2015-21052.

Ishii, M. 1975. Thermo-fluid dynamic theory of two-phase flow. NASA Sti/recon Technical Report A.

Joshi, J. B. 2001. Computational flow modelling and design of bubble column reactors. Chem Eng Sci, 56: 5893–5933.

Kempf, A. M., Wysocki, S., Pettit, M. 2012. An efficient, parallel low-storage implementation of Klein’s turbulence generator for LES and DNS. Comput Fluids, 60: 58–60.

Ketterl, S., Klein, M. 2018. A-priori assessment of subgrid scale models for large-eddy simulation of multiphase primary breakup. Comput Fluids, 165: 64–77.

Klein, M., Chakraborty, N., Gao, Y. 2016. Scale similarity based models and their application to subgrid scale scalar flux modelling in the context of turbulent premixed flames. Int J Heat Fluid Flow, 57: 91–108.

Klein, M., Sadiki, A., Janicka, J. 2003. A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations. J Comput Phys, 186: 652–665.

Kobayashi, H. 2005. The subgrid-scale models based on coherent structures for rotating homogeneous turbulence and turbulent channel flow. Phys Fluids, 17: 045104.

Kobayashi, H. 2018. Improvement of the SGS model by using a scale-similarity model based on the analysis of SGS force and SGS energy transfer. Int J Heat Fluid Flow, 72: 329–336.

Labourasse, E., Lacanette, D., Toutant, A., Lubin, P., Vincent, S., Lebaigue, O., Caltagirone, J. P., Sagaut, P. 2007. Towards large eddy simulation of isothermal two-phase flows: Governing equations and a priori tests. Int J Multiphase Flow, 33: 1–39.

Lakehal, D., Smith, B. L., Milelli, M. 2002. Large-eddy simulation of bubbly turbulent shear flows. J Turbul, 3, DOI: https://doi.org/10.1088/1468-5248/3/1/025.

Larocque, J., Vincent, S., Lacanette, D., Lubin, P., Caltagirone, J. P. 2010. Parametric study of LES subgrid terms in a turbulent phase separation flow. Int J Heat Fluid Flow, 31: 536–544.

Lefebvre, A. H. 1989. Atomization and Sprays. Hemisphere Publishing Corporation.

Ling, Y., Zaleski, S., Scardovelli, R. 2015. Multiscale simulation of atomization with small droplets represented by a Lagrangian point-particle model. Int J Multiphase Flow, 76: 122–143.

Liovic, P., Lakehal, D. 2007a. Interface-turbulence interactions in large-scale bubbling processes. Int J Heat Fluid Flow, 28: 127–144.

Liovic, P., Lakehal, D. 2007b. Multi-physics treatment in the vicinity of arbitrarily deformable gas-liquid interfaces. J Comput Phys, 222: 504–535.

Liovic, P., Lakehal, D. 2012. Subgrid-scale modelling of surface tension within interface tracking-based large eddy and interface simulation of 3D interfacial flows. Comput Fluids, 63: 27–46.

Liu, S. W., Meneveau, C., Katz, J. 1994. On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet. J Fluid Mech, 275: 83–119.

Lu, J. C., Tryggvason, G. 2008. Effect of bubble deformability in turbulent bubbly upflow in a vertical channel. Phys Fluids, 20: 040701.

Mitran, S. M. 2000. Closure Models for the Compuation of Dilute Bubbly Flows. Forschungszentrum Karlsruhe GmbH, Karlsruhe.

Nicoud, F., Toda, H. B., Cabrit, O., Bose, S., Lee, J. 2011. Using singular values to build a subgrid-scale model for large eddy simulations. Phys Fluids, 23: 085106.

Sabisch, W. 2000. Dreidimensionale numerische Simulation der Dynamik von aufsteigenden Einzelblasen und Blasenschwärmen mit einer Volume-of-Fluid Methode. Forschungszentrum Karlsruhe, Wissenschaftliche Berichte FZKA 6478.

Sabisch, W., Wörner, M., Grötzbach, G., Cacuci, D. G. 2001. 3D volume-of-fluid simulation of wobbling bubble in a gas-liquid system of low Morton number. In: Proceedings of the 4th International Conference on Multiphase Flow.

Sagaut, P. 2002. Large Eddy Simulation for Incompressible Flows. Springer Berlin Heidelberg.

Schumann, U. 1975. Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli. J Comput Phys, 18: 376–404.

Shinjo, J., Umemura, A. 2011. Detailed simulation of primary atomization mechanisms in diesel jet sprays (isolated identification of liquid jet tip effects). P Combust Inst, 33: 2089–2097.

Smagorinsky, J. 1963. General circulation experiments with the primitive equations. Mon Wea Rev, 91: 99–164.

Toutant, A., Chandesris, M., Jamet, D., Lebaigue, O. 2009. Jump conditions for filtered quantities at an under-resolved discontinuous interface. Part 1: Theoretical development. Int J Multiphase Flow, 35: 1100–1118.

Toutant, A., Labourasse, E., Lebaigue, O., Simonin, O. 2008. DNS of the interaction between a deformable buoyant bubble and a spatially decaying turbulence: A priori tests for LES two-phase flow modelling. Comput Fluids, 37: 877–886.

Tryggvason, G., Dabiri, S., Aboulhasanzadeh, B., Lu, J. C. 2013. Multiscale considerations in direct numerical simulations of multiphase flows. Phys Fluids, 25: 031302.

Tryggvason, G., Scardovelli, R., Zaleski, S. 2011. Direct Numerical Simulations of Gas-Liquid Multiphase Flows. Cambridge University Press.

Vincent, S., Larocque, J., Lacanette, D., Toutant, A., Lubin, P., Sagaut, P. 2008. Numerical simulation of phase separation and a priori two-phase LES filtering. Comput Fluids, 37: 898–906.

Vreman, A. W. 2004. An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications. Phys Fluids, 16: 3670.

Vreman, B., Geurts, B., Kuerten, H. 1995. A priori tests of large eddy simulation of the compressible plane mixing layer. J Eng Math, 29: 299–327.