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Results Obtained with a Semi-lagrangian Mass-Integrating Transport Algorithm by Using the GME Grid

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Large-Scale Scientific Computing (LSSC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4818))

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Abstract

The defect of mass by actual schemes within the GME has motivated the implementation of a conservative semi-Lagrangian scheme on an icosahedral mesh. This scheme for the GME-mesh is unique. The properties are demonstrated by applying the new algorithm to typical test cases as they can be derived from the shallow water test suite. The results using coarse grids show: this scheme is extremely attractive for a climate version of the GME. Even for periods longer than those as specified in the SWE test suite, a defect of mass in the range of accuracy of the machine is obtained. The relative error results show that the order of accuracy of the proposed algorithm is two.

This work has been funded by the German Research Foundation (DFG) under grant number Jo 554/1-1 and Jo 554/1-2 within SPP 1167.

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References

  1. Majewski, D.: Documentation of the new Global Model GME of the DWD, Deutscher Wetterdienst, Offenbach (1996)

    Google Scholar 

  2. Staniforth, A., Côté, J.: Semi-Lagrangian Integration Schemes for Atmospheric Models — A Review. Mon. Wea. Rev. 119, 2206–2223 (1991)

    Article  Google Scholar 

  3. Williamson, D., Drake, J., Hack, J., Jacob, R., Swartztrauber, P.: A Standart Test Set for Numerical Approximations to the Shallow Water Equations in Spherical Geometry. Journal of Computational Physics 102, 211–224 (1992)

    Article  MathSciNet  Google Scholar 

  4. Temperton, C., Staniforth, A.: An efficient two-time level semi-Lagrangian semi-implicit Integration Scheme. Quart. J. Royal Meteorological Society 113, 1025–1039 (1987)

    Article  Google Scholar 

  5. Laprise, J., Plante, A.: A Class of Semi-Lagrangian Integrated-Mass Numerical Transport Algorithms. Monthly Weather Review 123, 553–656 (1995)

    Article  Google Scholar 

  6. Chorin, A., Marsden, J.E.: A Mathematical Introduction to Fluid Mechanics, 3rd edn. Springer, New York (1992)

    MATH  Google Scholar 

  7. Nakamura, T., Tanaka, R., Yabe, T., Takizawa, K.: Exactly Conservative Semi-Lagrangian Scheme for Multi-dimensional Hyperbolic Equations with Directional Splitting Technique. Journal of Computational Physics 174, 171–207 (2001)

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. University of Applied Sciences Bonn-Rhein-Sieg, 53757, Sankt Augustin, Germany

    Wolfgang Joppich

  2. Fraunhofer Institute for Algorithms and Scientific Computing, Schloß Birlinghoven, 53754, Sankt Augustin, Germany

    Sabine Pott

Authors
  1. Wolfgang Joppich
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  2. Sabine Pott
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Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl. 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, Richard Petersen Plads, Building 321, DK-2800, Kongens Lyngby, Denmark

    Jerzy Waśniewski

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© 2008 Springer-Verlag Berlin Heidelberg

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Joppich, W., Pott, S. (2008). Results Obtained with a Semi-lagrangian Mass-Integrating Transport Algorithm by Using the GME Grid. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2007. Lecture Notes in Computer Science, vol 4818. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78827-0_47

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  • DOI: https://doi.org/10.1007/978-3-540-78827-0_47

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78825-6

  • Online ISBN: 978-3-540-78827-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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