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Numerical Exploration of Oscillation Modes in Rapidly Rotating Stars

  • Chapter
Studying Stellar Rotation and Convection

Part of the book series: Lecture Notes in Physics ((LNP,volume 865))

Abstract

In this chapter, we show that two-dimensional oscillation codes help us to improve our knowledge of the effects of rapid rotation on acoustic (p) and gravity (g) modes. We first discuss how to solve the full problem of stellar oscillations in rapidly rotating stars by including the effects of the Coriolis force as well as those of the centrifugal distortion. We illustrate the development and the validation of a 2-D code using the Two-dimensional Oscillation Program (TOP) as an example. We then describe what strategies are being developed to explore the p- and g-mode spectra, how effective these methods are, and what intrinsic difficulties they face. In the last part of this chapter, we present results obtained with these techniques.

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Notes

  1. 1.

    Basic Linear Algebra Subprograms http://www.netlib.org/blas.

  2. 2.

    Linear Algebra PACKage http://www.netlib.org/lapack.

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Acknowledgements

The authors acknowledge financial support from the “Agence nationale de la recherche” for the SIROCO project. A part of this work was performed using high-performance computing resources from CALMIP (“CALcul en MIdi-Pyrénées”). D.R.R. gratefully acknowledges financial support through a postdoctoral fellowship from the “Subside fédéral pour la recherche 2011,” University of Liège.

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  1. Institut de Recherche en Astrophysique et Planétologie, CNRS, UPS-OMP, Université de Toulouse, 14 avenue Edouard Belin, 31400, Toulouse, France

    Jérôme Ballot & François Lignières

  2. Institut d’Astrophysique et Géophysique de l’Université de Liège, Allée du 6 Août 17, 4000, Liège, Belgium

    Daniel R. Reese

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  2. François Lignières
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  3. Daniel R. Reese
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Correspondence to Jérôme Ballot .

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Editors and Affiliations

  1. LESIA, Observatoire de Paris-Meudon, place Jules Janssen, batiment 14 5, Meudon Cedex, 92195, France

    Mariejo Goupil

  2. LESIA, Observatoire de Paris-Meudon, place Jules Janssen 5, Meudon Cedex, 92195, France

    Kévin Belkacem

  3. LESIA, Observatoire de Paris-Meudon, place Jules Janssen, batiment 14 5, Meudon Cedex, 92195, France

    Coralie Neiner

  4. Institut de Recherche en Astrophysique, et Planétologie, Observatoire Midi-Pyrénées, avenue Édouard Belin 14, Toulouse, 31400, France

    Francois Lignières

  5. Observatoire de Paris-Meudon, LESIA, Place Jules Janssen 5, Meudon, 92190, France

    John J. Green

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Ballot, J., Lignières, F., Reese, D.R. (2013). Numerical Exploration of Oscillation Modes in Rapidly Rotating Stars. In: Goupil, M., Belkacem, K., Neiner, C., Lignières, F., Green, J. (eds) Studying Stellar Rotation and Convection. Lecture Notes in Physics, vol 865. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33380-4_5

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