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When one has to deal with fluid flows, magnetic fields or heat transfer in stars, one faces the partial differential equations that govern these processes. These phenomena are naturally multi-dimensional and their study requires new and sophisticated models. This volume gathers the lecture notes which summarize the essence of the lectures and conferences given by world experts in the field of multi-dimensional modelling of stars, during the 2018 Evry Schatzman School held in Roscoff, France. It gives the present status of our understanding of several processes that occur in stars, like thermal convection, double-diffusive convection, dynamo effect or baroclinic flows. Every subject is discussed under the light of the most recent results of nowadays research and is made accessible to all newcomers, either students or researchers who wish to join the field.


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Publié par

Date de parution

07 janvier 2020

Nombre de lectures

1

EAN13

9782759824373

Langue

English

Poids de l'ouvrage

23 Mo

Mult-Dimensional Processes
In Stellar Physics
Evry Schatzman School 2018
Michel Rieutord, Isabelle Baraffe and Yveline Lebreton, Eds
Mult-Dimensional Processes
When one has to deal with fluid flows, magnetc fields or heat transfer in stars,
one faces the partal differental equatons that govern these processes. These
phenomena are naturally mult-dimensional and their study requires new and
In Stellar Physics
sophistcated models. This volume gathers the lecture notes which summarize the
essence of the lectures and conferences given by world experts in the field of
mult-dimensional modelling of stars, during the 2018 Evry Schatzman School held
Evry Schatzman School 2018
in Roscoff, France. It gives the present status of our understanding of several
processes that occur in stars, like thermal convecton, double-diffusive convecton,
dynamo effect or baroclinic flows. Every subject is discussed under the light of the
most recent results of nowadays research and is made accessible to all newcomers,
either students or researchers who wish to join the field.
Michel Rieutord, Isabelle Baraffe
and Yveline Lebreton, Eds
ISBN : 978-2-7598-2416-8
9 782759 824168
www.edpsciences.org
Mult-Dimensional Pr
ocesses In St
ellar Ph
y
sics

E
vry Scha
tzman School 2018Mult-Dimensional Processes
In Stellar Physics
Evry Schatzman School 2018
Michel Rieutord, Isabelle Baraffe and Yveline Lebreton, Eds
Mult-Dimensional Processes
When one has to deal with fluid flows, magnetc fields or heat transfer in stars,
one faces the partal differental equatons that govern these processes. These
phenomena are naturally mult-dimensional and their study requires new and
In Stellar Physics
sophistcated models. This volume gathers the lecture notes which summarize the
essence of the lectures and conferences given by world experts in the field of
mult-dimensional modelling of stars, during the 2018 Evry Schatzman School held
Evry Schatzman School 2018
in Roscoff, France. It gives the present status of our understanding of several
processes that occur in stars, like thermal convecton, double-diffusive convecton,
dynamo effect or baroclinic flows. Every subject is discussed under the light of the
most recent results of nowadays research and is made accessible to all newcomers,
either students or researchers who wish to join the field.
Michel Rieutord, Isabelle Baraffe
and Yveline Lebreton, Eds
ISBN : 978-2-7598-2416-8
9 782759 824168
www.edpsciences.org
Mult-Dimensional Pr
ocesses In St
ellar Ph
y
sics

E
vry Scha
tzman School 2018Mul -Dimensional Processes
In Stellar Physics
Evry Schatzman School 2018
Michel Rieutord, Isabelle Baraffe
and Yveline Lebreton, EdsPrinted in France

ISBN(print): 978-2-7598-2416-8 – ISBN(ebook): 978-2-7598-2437-3

All rights relative to translation, adaptation and reproduction by any means whatsoever
are reserved, worldwide. In accordance with the terms of paragraphs 2 and 3 of Article 41
of the French Act dated March 11, 1957, “copies or reproductions reserved strictly for
private use and not intended for collective use” and, on the other hand, analyses and short
quotations for example or illustrative purposes, are allowed. Otherwise, “any
representation or reproduction – whether in full or in part – without the consent of the
author or of his successors or assigns, is unlawful” (Article 40, paragraph 1). Any or reproduction, by any means whatsoever, will therefore be deemed an
infringement of copyright punishable under Articles 425 and following of the French Penal
Code.

© EDP Sciences, 2020 Multi-Dimensional Processes In Stellar Physics 3
Sponsors
Centre National de la Recherche Scientifique (CNRS, Formation Permanente)
Programme National de Physique Stellaire (PNPS) of CNRS/INSU (Institut National des
Sciences de l’Univers du CNRS)
Centre National d’Etudes Spatiales (CNES)
Centre de Recherche Astrophysique de Lyon (CRAL)
Agence Nationale de la Recherche (Projet ESRR - grant ANR-16-CE31-0007-01)
Scientific Organizing Committee
Isabelle Baraffe - co-Chair (University of Exeter)
Boris Dintrans (Institut de Recherche en Astrophysique et Planétologie, IRAP-UMR CNRS
5277, Université Toulouse III)
Yveline Lebreton (LESIA-UMR CNRS 8109, Observatoire de Paris et Institut de Physique
de l’Université de Rennes 1)
Julien Morin (LUPM-UMR CNRS 5299, Université de Montpellier)
Michel Rieutord - co-Chair (Institut de Recherche en Astrophysique et Planétologie,
IRAPUMR CNRS 5277, Université Toulouse III)4 Evry Schatzman School 2018
A few participants closing the school and waiting for the bus. From left to right: Jérôme
Guilet, Sutirtha Sengupta, François Lignières, Pascale Garaud, Laurène Jouve, Bertrand
Putigny, Julien Morin, Bastien Gouhier et Damien Gagnier.List of Participants
- Amard Louis, l.amard@exeter.ac.uk, University of Exeter
- Baraffe Isabelle, i.baraffe@exeter.ac.uk, University of Exeter et CRAL, ENS Lyon
- Belkacem Kevin, kevin.belkacem@obspm.fr, LESIA - Observatoire de Paris
- Bouchaud Kevin, kevin.bouchaud@oca.eu, obs. de Nice, obs. de Paris Meudon
- Breimann Angela, aab222@exeter.ac.uk, University of Exeter
- Browning Matthew, browning@exeter.ac.uk, University of Exeter
- Brun Allan Sacha, sacha.brun@cea.fr, DAp-AIM, CEA Paris-Saclay
- Buldgen Gaël, gbuldgen@ulg.ac.be Observatoire de Genève, Université de Genève
- Chabrier Gilles, gilles.chabrier@ens-lyon.fr, CRAL, ENS Lyon
- Charlet Arthur, arthur.charlet@ens-lyon.fr, ENS Lyon
- Christophe Steven, steven.christophe@obspm.fr, LESIA, Observatoire de Paris
- Currie Laura, lcurrie@exeter.ac.uk, University of Exeter
- Debras Florian, florian.debras@ens-lyon.fr, CRAL, ENS Lyon
- Dintrans Boris, dintrans@cines.fr, CINES, Montpellier
- Dumont Thibaut, thibaut.dumont@unige.ch, Observatoire de Genève / LUPM
- Farnir Martin, martin.farnir@uliege.be, Université de Liège
- Finley Adam, af472@exeter.ac.uk, University of Exeter
- Gagnier Damien, damien.gagnier@irap.omp.eu, IRAP, Toulouse
- Garaud Pascale, pgaraud@ucsc.edu, University of California in Santa-Cruz
- Gouhier Bastien, bastien.gouhier@hotmail.fr, IRAP, Toulouse
- Guilet Jérôme, jerome.guilet@cea.fr, CEA Saclay, Département d’astrophysique
- Jouve Laurène, ljouve@irap.omp.eu, IRAP, Toulouse
- Khan Saniya, sxk1008@bham.ac.uk, University of Birmingham
- Kupka Friedrich, friedrich.kupka@uni-goettingen.de, University of Göttingen
- Lebreton Yveline, Yveline.Lebreton@obspm.fr, LESIA, Observatoire de Paris
- Lebreuilly Ugo, ugo.lebreuilly@ens-lyon.fr, ENS Lyon
- Lignières François, francois.lignieres@irap.omp.eu, IRAP, Toulouse
- Manchon Louis, louis.manchon@ias.u-psud.fr, Université Paris-Saclay
- Menu Melissa, melissa.menu@lra.ens.fr, Université Paris-Saclay
- Mirouh Giovanni, gmirouh@sissa.it, SISSA Trieste
- Morin Julien, julien.morin@umontpellier.fr, LUPM, Montpellier
- Padioleau Thomas, thomas.padioleau@cea.fr, CEA Saclay
- Petitdemange Ludovic, ludovic@lra.ens.fr, LRA, ENS Paris
- Philidet Jordan, jordan.philidet@obspm.fr, Observatoire de Paris
- Pinçon Charly, charly.pincon@uliege.be, IAS, Université Paris XI6 Evry Schatzman School 2018
- Putigny Bertrand bertrand.putigny@gmail.com, IRAP, Toulouse
- Raynaud Raphaël, raphael.raynaud@cea.fr, CEA Saclay
- Reese Daniel, daniel.reese@obspm.fr, LESIA, Observatoire de Paris
- Rieutord Michel, Michel.Rieutord@irap.omp.eu, IRAP, Toulouse
- Samadi Réza, reza.samadi@obspm.fr, LESIA, Observatoire de Paris
- Sengupta Sutirtha, sutirtha@ucsc.edu, University of California in Santa-Cruz
- Tremblin Pascal, pascal.tremblin@cea.fr, Maison de la Simulation, CEA
ParisSaclayTable of contents




List of Participants 5


Preface 11


Double-diffusive processes in stellar astrophysics 13
Pascale Garaud

1 Introduction ........................................................................................................................ 13
2 Linear instability of double-diffusive systems ........................................................... 15
2.1 Model setup ............................................................................................................................... 15
2.2 Linear stability properties of homogeneous double-diffusive systems ..................... 17
2.3 Where is fingering convection likely to occur in stars? ................................................. 22
2.4 Where is ODDC/semiconvection likely to occur is stars? .............................................. 22
2.5 Beyond linear theory ............................................................................................................... 24
3 Mixing by fingering convection ..................................................................................... 25
3.1 Traditional models of "thermohaline" mixing ................................................................... 25
3.2 Numerical simulations of small-scale fingering convection ............................................ 26
3.3 The Brown et al. 2013 model for small-scale fingering convection ........................... 29
3.4 Large-scale instabilities? ........................................................................................................ 31
3.5 Conclusions for now ................................................................................................................ 35
3.6 Applications to stellar astrophysics .................................................................................... 36
4 Oscillatory double-diffusive convection and layered convection .......................... 38
4.1 Traditional models of mixing by ODDC .............................................................................. 38
4.2 Numerical simulations of ODDC ........................................................................................... 41
4.3 Transport in non-layered ODDC ........................................................................................... 42
4.4 Criterion for layer formation ..................

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