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Computing the Evolution of Interfaces Using Multi-component Flow Equations

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New Approaches in Modeling Multiphase Flows and Dispersion in Turbulence, Fractal Methods and Synthetic Turbulence

Part of the book series: ERCOFTAC Series ((ERCO,volume 18))

Abstract

A numerical scheme for computing compressible multi-component flows is examined. The numerical approach is based on a mathematical model that considers interfaces between fluids as numerically diffused zones. The hyperbolic problem is tackled using a high-resolution HLLC scheme on a fixed Eulerian mesh. The scheme for the non-conservative terms is derived to fulfill the interface condition. The results are demonstrated for several one and two-dimensional test cases.

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Authors and Affiliations

  1. Sheffield Fluid Mechanics Group, Department of Mechanical Engineering, The University of Sheffield, Mappin Street, Sheffield, S1 3JD, UK

    Fatma Ghangir & Andrzej F. Nowakowski

Authors
  1. Fatma Ghangir
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  2. Andrzej F. Nowakowski
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Corresponding author

Correspondence to Andrzej F. Nowakowski .

Editor information

Editors and Affiliations

  1. Sheffield Fluid Mechanics Group, Mechanical Engineering, University of Sheffield, Mappin Street, Sheffield, S1 3 JD, United Kingdom

    F.C.G.A. Nicolleau

  2. LMFA UMR CNRS 5509, Ecole Centrale de Lyon, Avenue Guy de Collongue 36, Ecully CEDEX, 69131, France

    C. Cambon

  3. UPC, Fisica Aplicada, Universidad Politecnica de Catalunya, Campus Nord, Barcelona, 08034, Spain

    J.-M. Redondo

  4. Department of Aeronautics, Imperial College, Prince Consort Road, South Kensington, London, SW7 2BY, United Kingdom

    J.C. Vassilicos

  5. School Mechanical & Systems Engineering, The University of Newcastle, Clermont Road, Newcastle, M1 7RU, United Kingdom

    M. Reeks

  6. Sheffield Fluid Mechanics Group, Mechanical Engineering, University of Sheffield, Mappin Street, Sheffield, S1 3 JD, United Kingdom

    A.F. Nowakowski

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Ghangir, F., Nowakowski, A.F. (2012). Computing the Evolution of Interfaces Using Multi-component Flow Equations. In: Nicolleau, F., Cambon, C., Redondo, JM., Vassilicos, J., Reeks, M., Nowakowski, A. (eds) New Approaches in Modeling Multiphase Flows and Dispersion in Turbulence, Fractal Methods and Synthetic Turbulence. ERCOFTAC Series, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2506-5_8

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  • DOI: https://doi.org/10.1007/978-94-007-2506-5_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-2505-8

  • Online ISBN: 978-94-007-2506-5

  • eBook Packages: EngineeringEngineering (R0)

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