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@article{agrawal2020turbulent,
author = {Agrawal, Rahul and Alexakis, Alexandros and Brachet, Marc E. and Tuckerman, Laurette S.},
title = {Turbulent cascade, bottleneck, and thermalized spectrum in hyperviscous flows},
journal = {Physical Review Fluids},
publisher = {American Physical Society (APS)},
year = {2020},
month = {02},
number = {2},
volume = {5},
url = {https://doi.org/10.1103%2Fphysrevfluids.5.024601},
doi = {10.1103/physrevfluids.5.024601}
}
@article{alizard2018space,
author = {Alizard, Frédéric and Cadiou, Anne and Le Penven, Lionel and Di Pierro, Bastien and Buffat, Marc},
title = {Space-time dynamics of optimal wavepackets for streaks in a channel entrance flow},
journal = {Journal of Fluid Mechanics},
publisher = {Cambridge University Press (CUP)},
year = {2018},
month = {4},
volume = {844},
pages = {669--706},
url = {https://doi.org/10.1017%2Fjfm.2018.191},
doi = {10.1017/jfm.2018.191}
}
@article{almgren1998conservative,
author = {Almgren, Ann S. and Bell, John B. and Colella, Phillip and Howell, Louis H. and Welcome, Michael L.},
title = {A Conservative Adaptive Projection Method for the Variable Density Incompressible {Navier–Stokes} Equations},
journal = {Journal of Computational Physics},
publisher = {Elsevier BV},
year = {1998},
month = {5},
number = {1},
volume = {142},
pages = {1--46},
url = {https://doi.org/10.1006/jcph.1998.5890},
doi = {10.1006/jcph.1998.5890},
issn = {0021-9991}
}
@book{antontsev1990boundary,
author = {Antontsev, Stanislav Nikolaevich and Kazhiktov, Aleksandr Vasil'evich and Monakhov, Valetin Nikolaevich},
title = {Boundary Value Problems in Mechanics of Nonhomogeneous Fluids},
publisher = {North Holland},
year = {1990},
series = {Studies in Mathematics and Its Applications 22},
address = {North Holland Amsterdam},
isbn = {0444883827,9780444883827,9780080875439},
}
@article{ashour2010approximate,
author = {Ashour, Samir K and Abdel-hameed, Mahmood A},
title = {Approximate skew normal distribution},
journal = {Journal of Advanced Research},
publisher = {Elsevier},
year = {2010},
number = {4},
volume = {1},
pages = {341--350}
}
@article{aslangil2020effects,
author = {Aslangil, Denis and Livescu, Daniel and Banerjee, Arindam},
title = {Effects of Atwood and Reynolds numbers on the evolution of buoyancy-driven homogeneous variable-density turbulence},
journal = {Journal of Fluid Mechanics},
publisher = {Cambridge University Press (CUP)},
year = {2020},
month = {5},
volume = {895},
url = {http://dx.doi.org/10.1017/jfm.2020.268},
doi = {10.1017/jfm.2020.268},
issn = {1469-7645}
}
@article{baerenzung2008spectral,
author = {Baerenzung, Julien and Politano, Hénène and Ponty, Yannick and Pouquet, Annick},
title = {Spectral modeling of turbulent flows and the role of helicity},
journal = {Physical Review E},
publisher = {American Physical Society (APS)},
year = {2008},
month = {4},
number = {4},
volume = {77},
url = {http://dx.doi.org/10.1103/physreve.77.046303},
doi = {10.1103/physreve.77.046303},
issn = {1550-2376}
}
@article{beirao1996long,
author = {Beirão Da Veiga, H},
title = {Long time behaviour of the solutions to the {Navier-Stokes} equations with diffusion},
journal = {Nonlinear Analysis: Theory, Methods \& Applications},
publisher = {Elsevier BV},
year = {1996},
month = {12},
number = {11},
volume = {27},
pages = {1229--1239},
url = {https://doi.org/10.1016%2F0362-546x%2895%2900117-e},
doi = {10.1016/0362-546x(95)00117-e}
}
@article{bell1992second,
author = {Bell, John B. and Marcus, Daniel L.},
title = {A second-order projection method for variable-density flows},
journal = {Journal of Computational Physics},
publisher = {Elsevier BV},
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}
@book{bird2002transport,
author = {Bird, R. Byron and Steward, Warren E. and Lightfoot, N. Edwin},
title = {Transport phenomena},
publisher = {Wiley},
year = {2002},
edition = {2nd, Wiley international ed},
isbn = {9780471410775,0471410772}
}
@article{boujemaa2004analyse,
author = {Boujemaa, Sami and Amielh, Muriel and Chauve, Marie Pierre},
title = {Analyse spatio-temporelle de jets axisymétriques d'air et d'hélium},
journal = {Comptes Rendus Mécanique},
publisher = {Elsevier BV},
year = {2004},
month = {11},
number = {11},
volume = {332},
pages = {933--939},
url = {https://doi.org/10.1016%2Fj.crme.2004.06.009},
doi = {10.1016/j.crme.2004.06.009}
}
@article{brachet1983small,
author = {Brachet, Marc E. and Meiron, Daniel I. and Orszag, Steven A. and Nickel, B. G. and Morf, Rudolf H. and Frisch, Uriel},
title = {Small-scale structure of the {Taylor–Green} vortex},
journal = {Journal of Fluid Mechanics},
publisher = {Cambridge University Press (CUP)},
year = {1983},
month = {5},
number = {-1},
volume = {130},
pages = {411},
url = {https://doi.org/10.1017/s0022112083001159},
doi = {10.1017/s0022112083001159},
issn = {0022-1120, 1469-7645}
}
@article{bresh2002nouveaux,
author = {Bresch, Didier and Essoufi, El Hassan and Sy, Mamadou},
title = {De nouveaux systèmes de type {Kazhikhov–Smagulov} : modèles de propagation de polluants et de combustion à faible nombre de {Mach}},
journal = {Comptes Rendus Mathematique},
publisher = {Elsevier BV},
year = {2002},
month = {12},
number = {11},
volume = {335},
pages = {973--978},
url = {https://doi.org/10.1016%2Fs1631-073x%2802%2902593-1},
doi = {10.1016/s1631-073x(02)02593-1}
}
@article{briard2017anisotropic,
author = {Briard, Antoine and Iyer, Manasa and Gomez, Thomas},
title = {Anisotropic spectral modeling for unstably stratified homogeneous turbulence},
journal = {Physical Review Fluids},
publisher = {American Physical Society (APS)},
year = {2017},
month = {4},
number = {4},
volume = {2},
url = {http://dx.doi.org/10.1103/physrevfluids.2.044604},
doi = {10.1103/physrevfluids.2.044604},
issn = {2469-990X}
}
@article{brown2001accurate,
author = {Brown, David L. and Cortez, Ricardo and Minion, Michael L.},
title = {Accurate Projection Methods for the Incompressible {Navier–Stokes} Equations},
journal = {Journal of Computational Physics},
publisher = {Elsevier BV},
year = {2001},
month = {4},
number = {2},
volume = {168},
pages = {464--499},
url = {https://doi.org/10.1006/jcph.2001.6715},
doi = {10.1006/jcph.2001.6715},
issn = {0021-9991}
}
@book{butcher2003numerical,
author = {Butcher, John C.},
title = {Numerical Methods for Ordinary Differential Equations},
publisher = {Wiley},
year = {2003},
month = {5},
url = {https://doi.org/10.1002%2F0470868279},
doi = {10.1002/0470868279}
}
@article{calgaro2008hybrid,
author = {Calgaro, Caterina and Creusé, Emmanuel and Goudon, Thierry},
title = {An hybrid finite volume–finite element method for variable density incompressible flows},
journal = {Journal of Computational Physics},
publisher = {Elsevier BV},
year = {2008},
month = {4},
number = {9},
volume = {227},
pages = {4671--4696},
url = {https://doi.org/10.1016/j.jcp.2008.01.017},
doi = {10.1016/j.jcp.2008.01.017},
issn = {0021-9991}
}
@article{canuto1995preconditioned,
author = {Canuto, Claudio and Quarteroni, Alfio},
title = {Preconditioned minimal residual methods for {Chebyshev} spectral calculations},
journal = {Journal of Computational Physics},
publisher = {Elsevier BV},
year = {1985},
month = {9},
number = {2},
volume = {60},
pages = {315--337},
url = {https://doi.org/10.1016/0021-9991(85)90010-5},
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issn = {0021-9991}
}
@book{canuto2012spectral,
author = {Canuto, Claudio and Hussaini, M. Yousuff and Quarteroni, Alfio and Zang, Thomas A.},
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}
@article{carroll2013proposed,
author = {Carroll, Phares L. and Blanquart, G.},
title = {A proposed modification to {Lundgren}'s physical space velocity forcing method for isotropic turbulence},
journal = {Physics of Fluids},
publisher = {AIP Publishing},
year = {2013},
month = {10},
number = {10},
volume = {25},
pages = {105114},
url = {https://doi.org/10.1063/1.4826315},
doi = {10.1063/1.4826315},
issn = {1070-6631, 1089-7666}
}
@misc{cazalbou2021physique,
author = {Cazalbou, Jean-Bernard and Fontane, Jérôme},
title = {Physique de la turbulence},
year = {2021},
howpublished = {ISAE-SUPAERO Engineering Formation}
}
@article{concus1973use,
author = {Concus, Paul and Golub, Gene H.},
title = {Use of Fast Direct Methods for the Efficient Numerical Solution of Nonseparable Elliptic Equations},
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year = {1973},
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volume = {10},
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url = {https://doi.org/10.1137%2F0710092},
doi = {10.1137/0710092}
}
@article{cook2004mixing,
author = {Cook, Andrew W. and Cabot, William and Miller, Paul L.},
title = {The mixing transition in {Rayleigh–Taylor} instability},
journal = {Journal of Fluid Mechanics},
publisher = {Cambridge University Press (CUP)},
year = {2004},
month = {7},
volume = {511},
pages = {333--362},
url = {https://doi.org/10.1017/s0022112004009681},
doi = {10.1017/s0022112004009681},
issn = {0022-1120, 1469-7645}
}
@inproceedings{cook2005tera,
author = {Cook, Andrew W. and Cabot, William and Williams, Paul L. and Miller, Brian J. and de Supinski, Bronis R. and Yates, Robert K. and Welcome, Michael L.},
title = {Tera-Scalable Algorithms for Variable-Density Elliptic Hydrodynamics with Spectral Accuracy},
publisher = {IEEE},
year = {2005},
pages = {60--60},
url = {https://doi.org/10.1109/sc.2005.70},
doi = {10.1109/sc.2005.70},
booktitle = {ACM/IEEE SC 2005 Conference (SC'05)},
organization = {IEEE}
}
@article{cooley1965algorithm,
author = {Cooley, James W. and Tukey, John W.},
title = {An algorithm for the machine calculation of complex {Fourier} series},
journal = {Mathematics of Computation},
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pages = {297--301},
url = {https://doi.org/10.1090%2Fs0025-5718-1965-0178586-1},
doi = {10.1090/s0025-5718-1965-0178586-1}
}
@article{curry1984order,
author = {Curry, James H. and Herring, Jackson R. and Loncaric, Josip and Orszag, Steven A.},
title = {Order and disorder in two- and three-dimensional {Bénard} convection},
journal = {Journal of Fluid Mechanics},
publisher = {Cambridge University Press (CUP)},
year = {1984},
month = {10},
volume = {147},
pages = {1--38},
url = {https://doi.org/10.1017/s0022112084001968},
doi = {10.1017/s0022112084001968},
issn = {0022-1120, 1469-7645}
}
@book{cussler2009diffusion,
author = {Cussler, Edward Lansing},
title = {Diffusion: mass transfer in fluid systems},
publisher = {Cambridge university press},
year = {2009},
isbn = {9780521871211,0521871212}
}
@article{desjardins2008high,
author = {Desjardins, Olivier and Blanquart, Guillaume and Balarac, Guillaume and Pitsch, Heinz},
title = {High order conservative finite difference scheme for variable density low {Mach} number turbulent flows},
journal = {Journal of Computational Physics},
publisher = {Elsevier BV},
year = {2008},
month = {7},
number = {15},
volume = {227},
pages = {7125--7159},
url = {https://doi.org/10.1016%2Fj.jcp.2008.03.027},
doi = {10.1016/j.jcp.2008.03.027}
}
@article{dipierro2010instabilities,
author = {Di Pierro, Bastien and Abid, Malek},
title = {Instabilities of variable-density swirling flows},
journal = {Physical Review E},
publisher = {American Physical Society (APS)},
year = {2010},
month = {10},
number = {4},
volume = {82},
url = {https://doi.org/10.1103/physreve.82.046312},
doi = {10.1103/physreve.82.046312},
issn = {1539-3755, 1550-2376}
}
@article{dipierro2011energy,
author = {Di Pierro, Bastien and Abid, Malek},
title = {Energy spectra in a helical vortex breakdown},
journal = {Physics of Fluids},
publisher = {AIP Publishing},
year = {2011},
month = {2},
number = {2},
volume = {23},
pages = {025104},
url = {https://doi.org/10.1063/1.3553466},
doi = {10.1063/1.3553466},
issn = {1070-6631, 1089-7666},
}
@phdthesis{dipierro2012etude,
author = {Di Pierro, Bastien},
title = {Étude de l'évolution spatio-temporelle d'un jet tournant tridimensionnel à masse volumique variable},
year = {2012},
url = {http://www.theses.fr/2012AIXM4749},
note = {Thèse de doctorat dirigée par Abid, Malek et Amielh, Muriel},
school = {Université d'Aix-Marseille}
}
@article{dipierro2012rayleigh,
author = {Di Pierro, Bastien and Abid, Malek},
title = {Rayleigh-Taylor instability in variable density swirling flows},
journal = {The European Physical Journal B},
publisher = {Springer Science and Business Media LLC},
year = {2012},
month = {2},
number = {2},
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year = {2012},
month = {12},
number = {7},
volume = {72},
pages = {709--723},
url = {https://doi.org/10.1002%2Ffld.3758},
doi = {10.1002/fld.3758}
}
@article{morinishi2004direct,
author = {Morinishi, Yohei and Tamano, Shinji and Nakabayashi, Koichi},
title = {Direct numerical simulation of compressible turbulent channel flow between adiabatic and isothermal walls},
journal = {Journal of Fluid Mechanics},
publisher = {Cambridge University Press (CUP)},
year = {2004},
month = {4},
volume = {502},
pages = {273--308},
url = {https://doi.org/10.1017%2Fs0022112003007705},
doi = {10.1017/s0022112003007705}