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A Multidimensional Kinetic Upwind Method for Euler Equations

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Computational Fluid Dynamics 2006

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Abstract

The study of directional derivative lead to the development of a rotationally invariant kinetic upwind method (KUMARI)3 which avoids dimension by dimension splitting. The method is upwind and rotationally invariant and hence truly multidimensional or multidirectional upwind scheme. The extension of KUMARI to second order is as well presented.

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References

  1. S M Deshpande: “Meshless method, accuracy, symmetry breaking, upwinding and LSKUM”, Fluid mechanics report Report No 2003 FM 1, Department of Aerospce engineering, Indian Institute of Science, Bangalore.

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  2. Keshav S Malagi, P S. Kulkarni, S M Deshpande: “Rotationally invariant kinetic upwind method(KUMARI)”, Fluid mechanics report Report No 2004 FM 23, Department of Aerospce engineering, Indian Institute of Science, Bangalore.

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  3. Keshav Shrinivas Malagi: “Rotationally invariant kinetic upwind method(KUMARI)”, MSc thesis submitted, Department of Aerospce engineering, Indian Institute of Science, Bangalore.

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  4. Mandal J C and S M. Deshpande: “Kinetic Flux Vector Splitting for Euler Equations”, Computers and Fluids, Vol 23. No.2, pp.447-478, 1994.

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  5. Keshav S. Malagi, P S. Kulkarni, S M. Deshpande: “Rotationally invariant kinetic upwind method (KUMARI)”, Proceedings of “8th Annual AeSI CFD Symposium”, Aug-2005, NAL, Bangalore India.

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  7. S M. Deshpande, K Anandhanarayanan, C. Praveen and V. Ramesh: “Theory and applications of 3-D LSKUM based on entropy variables”, Int. J for Num. Methods in Fluids: vol40, Nos 1-2, pp.47-62, 2002.

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Author information

Authors and Affiliations

  1. CFD Centre & JATP, Dept. of Aerospace Engg, Indian Institute of Science, Bangalore, India

    Keshav S Malagi & P S Kulkarni

  2. Engg. Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, India

    S M Deshpande

Authors
  1. Keshav S Malagi
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  2. P S Kulkarni
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  3. S M Deshpande
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Corresponding author

Correspondence to Keshav S Malagi .

Editor information

Editors and Affiliations

  1. Dynamique des Fluides, Institut von Karman de, Chaussee de Waterloo 72, Rhode-St.-Genese, 1640, Belgium

    Herman Deconinck

  2. Fac. Engineering, University of Ghent, Sint-Pietersnieuwstraat 41, Gent, 9000, Belgium

    E. Dick

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© 2009 Springer-Verlag Berlin Heidelberg

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Malagi, K.S., Kulkarni, P.S., Deshpande, S.M. (2009). A Multidimensional Kinetic Upwind Method for Euler Equations. In: Deconinck, H., Dick, E. (eds) Computational Fluid Dynamics 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92779-2_28

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  • DOI: https://doi.org/10.1007/978-3-540-92779-2_28

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-92778-5

  • Online ISBN: 978-3-540-92779-2

  • eBook Packages: EngineeringEngineering (R0)

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