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An Implicit High-Order Discontinuous Galerkin Approach for Variable Density Incompressible Flows

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Droplet Interactions and Spray Processes

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 121))

Abstract

In this work we present a high-order discontinuous Galerkin approach for the simulation of variable density incompressible (VDI) flows. Here, the density is treated as a purely advected property tracking possibly multiple (more than two) components, while the fluids interface is captured in a diffuse fashion by the high-degree polynomial solution thus not requiring any geometrical reconstruction. Specific care is devoted to deal with density over/undershoots, spurious oscillations at flows interfaces and Godunov numerical fluxes at inter-element boundaries. Time integration is performed with high-order implicit schemes thus preventing any time step restriction condition. Promising results with high-degree polynomial representation and relatively coarse meshes are achieved on numerical experiments involving high-density ratios (water–air) and the possible interaction of more than two components.

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Acknowledgements

F. Massa is supported by the Supporting Talented Researchers (STaRS) programm of the University of Bergamo.

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Authors and Affiliations

  1. University of Bergamo, Bergamo, Italy

    Francesco Carlo Massa, Francesco Bassi, Lorenzo Botti & Alessandro Colombo

Authors
  1. Francesco Carlo Massa
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  2. Francesco Bassi
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  3. Lorenzo Botti
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  4. Alessandro Colombo
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Corresponding author

Correspondence to Francesco Carlo Massa .

Editor information

Editors and Affiliations

  1. Institute of Aerospace Thermodynamics, University of Stuttgart, Stuttgart, Baden-Württemberg, Germany

    Grazia Lamanna

  2. Dipartimento di Ingegneria e Scienze Applicate, Università degli Studi di Bergamo, Dalmine, Bergamo, Italy

    Simona Tonini

  3. Dipartimento di Ingegneria e Scienze Applicate, Università degli Studi di Bergamo, Dalmine, Bergamo, Italy

    Gianpietro Elvio Cossali

  4. Institute of Aerospace Thermodynamics, University of Stuttgart, Stuttgart, Baden-Württemberg, Germany

    Bernhard Weigand

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Massa, F.C., Bassi, F., Botti, L., Colombo, A. (2020). An Implicit High-Order Discontinuous Galerkin Approach for Variable Density Incompressible Flows. In: Lamanna, G., Tonini, S., Cossali, G., Weigand, B. (eds) Droplet Interactions and Spray Processes. Fluid Mechanics and Its Applications, vol 121. Springer, Cham. https://doi.org/10.1007/978-3-030-33338-6_15

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  • DOI: https://doi.org/10.1007/978-3-030-33338-6_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-33337-9

  • Online ISBN: 978-3-030-33338-6

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