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A Coupled Eulerian-Lagrangian Framework for the Modeling and Simulation of Turbulent Multiphase Flows

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Modeling and Simulation of Turbulent Mixing and Reaction

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Abstract

Interfacial multiphase flows are challenging to simulate because they involve many spatio-temporal scales and discontinuous fluid properties. This chapter describes a new framework for simulating interfacial flows (with an emphasis on sprays) that is consistent and conservative. The framework is based on the coupling of point mass particles (PMPs) with an Eulerian grid. Three different simulation methods are derived by enforcing different levels of coupling between the PMPs and the Eulerian grid. We first develop an expression that relates the PMP velocity to the fluid velocity, and use this expression to define a methodology for tracking an arbitrary number of phases and scalars. Performance of this approach is demonstrated in the context of heated air blast atomization. Next, we derive a governing equation for the fluid velocity in the context of the PMP, and present a consistent and conservative framework for solving the multiphase Navier-Stokes equations. The chapter concludes with the development of a formulation for consistent and conservative large eddy simulation, with particular attention paid to the importance of closure models.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN, 55455, USA

    Everett A. Wenzel & Sean C. Garrick

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  1. Everett A. Wenzel
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  2. Sean C. Garrick
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Correspondence to Sean C. Garrick .

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Editors and Affiliations

  1. CCS-2, Computational Physics and Methods, Los Alamos National Laboratory, Los Alamos, NM, USA

    Daniel Livescu

  2. School of Engineering, University of Pittsburgh, Pittsburgh, USA

    Arash G. Nouri

  3. Mechanical and Aerospace Engineering, University at Buffalo, The State University of New York, Buffalo, NY, USA

    Francine Battaglia

  4. School of Engineering, University of Pittsburgh, Pittsburgh, PA, USA

    Peyman Givi

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Wenzel, E.A., Garrick, S.C. (2020). A Coupled Eulerian-Lagrangian Framework for the Modeling and Simulation of Turbulent Multiphase Flows. In: Livescu, D., Nouri, A., Battaglia, F., Givi, P. (eds) Modeling and Simulation of Turbulent Mixing and Reaction. Heat and Mass Transfer. Springer, Singapore. https://doi.org/10.1007/978-981-15-2643-5_10

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  • DOI: https://doi.org/10.1007/978-981-15-2643-5_10

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