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Conservative Multidimensional Upwind Residual Distribution Schemes for Arbitrary Finite Elements

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Computational Fluid Dynamics 2002

Abstract

We introduce monotone first order fluctuation splitting schemes for solving hyperbolic systems on arbitrary finite elements, thereby generalizing the N-scheme previously proposed for linear P1 triangles. Conservation is retained by relaxing on strict monotonicity, using a simple method based on contour integration over the element boundaries. Numerical examples are given for the Euler equations solved on Q1 elements for applications ranging from transonic to hypersonic regimes.

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References

  1. E. van der Weide: Compressible Flow Simulation on Unstructured Grids using Multi-dimensional Upwind Schemes.PhD thesis, ULB, Belgium (1998)

    Google Scholar 

  2. H. Deconinck, K.Sermeus, R. Abgrall: Status of Multidimensional Upwind Residual Distribution Schemes and Applications in Aeronautics. AIAA CP 2000–2328(2000)

    Google Scholar 

  3. R. Abgrall: J. Computational Physics, 167, pp. 277–315 (2001)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. E. van der Weide, H. Deconinck: Fluctuation Splitting Schemes for the Euler Equations on Quadrilaterals Grids. ICFD Proceedings (1995)

    Google Scholar 

  5. A. Csík, M. Ricchiuto, H. Deconinck: J. Comp. Physics 179, pp. 286–312 (2002)

    Article  ADS  MATH  Google Scholar 

  6. R. Abgrall, T. Barth: Residual distribution schemes for conservations laws via adaptive quadrature. Submitted to SIAM Journal (2001)

    Google Scholar 

  7. S. Eidelman, P. Colella, R. Shreeve: AIAA Journal, 22, pp. 1609–1615 (1984)

    Article  ADS  MATH  Google Scholar 

  8. H. Deconinck, P.L. Roe, R. Stuijs: Computers & Fluids 22, pp. 215–222 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  9. B. Bruinsma: Conservative linearization of the Euler equations for fluctuation splitting schemes on hybrid grids, von Karman Institute Stagiaire Report (1996–05)

    Google Scholar 

  10. P.L. Roe: J. Computational Physics 43, pp. 357–372 (1981)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. T. Quintino: Multidimensional Upwind Residual Distribution schemes for Quadrilaterals in Hybrid Grids. Graduation Thesis, IST Lisbon (2001).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Dept. Aeronautics and Aerospace, von Karman Institute for Fluid Dynamics, Belgium

    Tiago Quintino, Mario Ricchiuto, Arpi Csík & Herman Deconinck

  2. Center Plasma Astrophysics, Katholieke Universiteit Leuven, Belgium

    Arpi Csík & Stefaan Poedts

Authors
  1. Tiago Quintino
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  2. Mario Ricchiuto
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  3. Arpi Csík
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  4. Herman Deconinck
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  5. Stefaan Poedts
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Editor information

Editors and Affiliations

  1. School of Aerospace, University of Sydney, Building J07, 2006, Sydney, Australia

    Steve W. Armfield (Professor), Patrick Morgan (Professor) & Karkenahalli Srinivas (Professor) (Professor),  (Professor) &  (Professor)

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© 2003 Springer-Verlag Berlin Heidelberg

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Quintino, T., Ricchiuto, M., Csík, A., Deconinck, H., Poedts, S. (2003). Conservative Multidimensional Upwind Residual Distribution Schemes for Arbitrary Finite Elements. In: Armfield, S.W., Morgan, P., Srinivas, K. (eds) Computational Fluid Dynamics 2002. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59334-5_9

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  • DOI: https://doi.org/10.1007/978-3-642-59334-5_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63938-8

  • Online ISBN: 978-3-642-59334-5

  • eBook Packages: Springer Book Archive

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