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IUTAM Symposium on Turbulence in the Atmosphere and Oceans pp 289–298Cite as

The HyperCASL algorithm

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Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 28))

Abstract

This paper outlines a major new extension to the diabatic Contour-Advective Semi-Lagrangian (CASL) algorithm  (Dritschel and Ambaum, 1997, 2006). The extension, called the ‘HyperCASL’ (HCASL) algorithm, advects material potential vorticity contours like in CASL, but treats diabatic forcing or damping with a Vortex-In-Cell (VIC) algorithm. As a result, HCASL is fully Lagrangian regarding advection. A conventional underlying grid is used as in CASL for ‘inversion’, namely for obtaining the advecting velocity from the potential vorticity.

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References

  1. Andrews, D.G., Holton, J.R., Leovy, C.B.: Middle Atmosphere Dynamics. Academic Press (1987)

    Google Scholar 

  2. Christiansen, J.P., Zabusky, N.J.: Instability, coalescence and fission of finite-area vortex structures. J. Fluid Mech. 61, 219–243 (1973)

    Article  Google Scholar 

  3. Dritschel, D.G.: Contour surgery: a topological reconnection scheme for extended integrations using contour dynamics. J. Comput. Phys. 77, 240–266 (1988)

    Article  Google Scholar 

  4. Dritschel, D.G.: Contour dynamics and contour surgery: numerical algorithms for extended, high-resolution modelling of vortex dynamics in two-dimensional, inviscid, incompressible flows. Computer Phys. Rep. 10, 77–146 (1989)

    Article  Google Scholar 

  5. Dritschel, D.G., Ambaum, M.H.P.: A contour-advective semi-Lagrangian numerical algorithm for simulating fine-scale conservative dynamical fields. Quart. J. Roy. Meteorol. Soc. 123, 1097–1130 (1997)

    Article  Google Scholar 

  6. Dritschel, D.G., Polvani, L.M., Mohebalhojeh, A.R.: The contour-advective semi-Lagrangian algorithm for the shallow water equations. Mon. Wea. Rev. 127, 1551–1565 (1999)

    Article  Google Scholar 

  7. Dritschel, D.G., Viúdez, Á.: A balanced approach to modelling rotating stably-stratified geophysical flows. J. Fluid Mech. 488, 123–150 (2003)

    Article  Google Scholar 

  8. Dritschel, D.G., Ambaum, M.H.P.: The diabatic contour advective semi-Lagrangian algorithm. Mon. Weather Rev. 134, 2503–2514 (2006)

    Article  Google Scholar 

  9. Dritschel, D.G., McIntyre, M.E.: Multiple jets as PV staircases: the Phillips effect and the resilience of eddy-transport barriers. J. Atmos. Sci. 65, 855–874 (2008)

    Article  Google Scholar 

  10. Dritschel, D.G., Scott, R.K., Macaskill, C., Gottwald, G.A., Tran, C.V.: Unifying scaling theory for vortex dynamics in two-dimensional turbulence. Phys. Rev. Lett. 101, 094501 (2008)

    Article  Google Scholar 

  11. Dritschel, D.G., Scott, R.K.: On the simulation of nearly inviscid two-dimensional turbulence. J. Comput. Phys. 228, 2707–2711 (2009)

    Article  Google Scholar 

  12. Durran, R.R.: Numerical Methods for Wave Equations in Geophysical Fluid Dynamics. Springer (1999)

    Google Scholar 

  13. Fontane, J., Dritschel, D.G.: The HyperCASL Algorithm: a new approach to the numerical simulation of geophysical flows. J. Comput. Phys. 228, 6411–6425 (2009)

    Article  Google Scholar 

  14. Gill, A.E.: Atmosphere-Ocean Dynamics. Academic Press (1982)

    Google Scholar 

  15. Mohebalhojeh, A.R., Dritschel, D.G.: The diabatic contour-advective semi-Lagrangian algorithms for the spherical shallow water equations. Mon. Wea. Rev. 137, 2979–2994 (2009)

    Article  Google Scholar 

  16. Panetta, R.L.: Zonal jets in wide baroclinically unstable regions: persistence and scale selection. J. Atmos. Sci. 50, 2073–2106 (1993)

    Article  Google Scholar 

  17. Pierrehumbert, R.T.: The hydrologic cycle in deep time climate problems. Nature 419, 191–198 (2002)

    Article  Google Scholar 

  18. Rhines, P.B.: Jets. Chaos 4, 313–339 (1994)

    Article  Google Scholar 

  19. Schaerf, T.M.: On contour crossings in contour-advective simulations of geophysical fluid flows, Ph.D. Thesis, University of Sydney (2006)

    Google Scholar 

  20. Smolarkiewicz, P.K., Pudykiewicz, P.: A class of semi-Lagrangian approximations for fluids. J. Atmos. Sci. 49, 2082–2096 (1992)

    Article  Google Scholar 

  21. Zabusky, N.J., Hughes, M.H., Roberts, K.V.: Contour dynamics for the Euler equations in 2 dimensions. J. Comput. Phys. 30, 96–106 (1979)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Mathematical Institute, University of St Andrews, St Andrews, KY16 9SS, Scotland

    David G. Dritschel

Authors
  1. David G. Dritschel
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  2. Jérôme Fontane
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Corresponding author

Correspondence to David G. Dritschel .

Editor information

Editors and Affiliations

  1. Dept. Mathematics, University of St. Andrews, St. Andrews, Fife, KY16 9SS, United Kingdom

    David Dritschel

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Dritschel, D.G., Fontane, J. (2010). The HyperCASL algorithm. In: Dritschel, D. (eds) IUTAM Symposium on Turbulence in the Atmosphere and Oceans. IUTAM Bookseries, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0360-5_23

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  • DOI: https://doi.org/10.1007/978-94-007-0360-5_23

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0359-9

  • Online ISBN: 978-94-007-0360-5

  • eBook Packages: EngineeringEngineering (R0)

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