G. Edde, G. Sadaka, R. Antoine and I. Danaila
Three-dimensional numerical modeling of natural convection in underground cavities connected to the surface by a well,
submitted to Computational Geosciences,   hal-04702090v1     (2024).

  G. Sadaka, P. Jolivet, E. G. Charalampidis and I. Danaila
Parallel finite-element codes for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates,
Computer Physics Communications, 306, p. 109378(1-17)   DOI: 10.1016/j.cpc.2024.109378   hal-04528301     arXiv: 2404.00956 (2025).

  C. Tain, J.-G. Caputo and I. Danaila
Influence of gauges in the numerical simulation of the time-dependent Ginzburg-Landau model,
Acta Applicandae Mathematicae, 194, p. 13(1-18)   DOI: 10.1007/s10440-024-00701-x   hal-04680615v1     arXiv: 2408.16086 (2024).

  G. Sadaka, V. Kalt, I. Danaila and F. Hecht
A finite element toolbox for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates,
Computer Physics Communications, 294, p. 108948(1-17)   DOI: 10.1016/j.cpc.2023.108948   hal-04021868     arXiv:2303.05350 (2024).

  C. Legrand, F. Luddens and I. Danaila
On the convergence of a low order Lagrange finite element approach for natural convection problems,
Computers and Mathematics with Applications, 159, p. 259-277    DOI: 10.1016/j.camwa.2023.07.023    hal-03737519v1     arXiv:2207.12732 (2023).

 M. E. Brachet, G. Sadaka, Z. Zhang, V. Kalt and I. Danaila
Coupling Navier-Stokes and Gross-Pitaevskii equations for the numerical simulation of two-fluid quantum flows,
Journal of Computational Physics, 488, p. 112193(1-17)    DOI: 10.1016/j.jcp.2023.112193    hal-03852256     arXiv:2211.07361 (2023).

 Z. Zhang, I. Danaila, E. Lévêque and L. Danaila
Higher-order statistics and intermittency of a two-fluid Hall-Vinen-Bekharevich-Khalatnikov quantum turbulent flow,
Journal of Fluid Mechanics, 962, p. A22(1-28)     DOI: 10.1017/jfm.2023.235     hal-04025306     arXiv:2303.06631 (2023).

 V. Kalt, G. Sadaka, I. Danaila and F. Hecht
Identification of vortices in quantum fluids: Finite element algorithms and programs,
Computer Physics Communications, 284, p. 108606(1-15)   DOI: 10.1016/j.cpc.2022.108606    hal-03849287    arXiv:2211.07187 (2023).

 A. Papoutsakis, I. Danaila, F. Luddens and M. Gavaises
Droplet nuclei caustic formations in exhaled vortex rings,
Scientific Reports, 12, Article number: 3892   https://www.nature.com/ (Open access)  (2022).

 J. G. Caputo, I. Danaila and C. Tain
An Abelian Higgs model of pulsed field magnetization in superconductors,
Journal of Physics: Conference Series, 2043, p. 012006(1-10)   doi:10.1088/1742-6596/2043/1/012006   hal-03470857     arXiv:2109.12898 (2021).

 V. Barbu, I. Ciotir and I. Danaila
Existence and uniqueness of solution to the two-phase Stefan problem with convection,
Applied Mathematics & Optimization, 84, p. 123-157   DOI: 10.1007/s00245-021-09764-w   hal-02615472 (2021).

 M. Kobayashi, Ph. Parnaudeau, F. Luddens, C. Lothodé, L. Danaila, M. Brachet and I. Danaila
Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks,
Computer Physics Communications, 258, p. 107579(1-26)   DOI: 10.1016/j.cpc.2020.107579   hal-02501646   arXiv:2003.03590  (2021).
Dedicated web page with supplemental material (movies, pictures).

 G. Sadaka, A. Rakotondrandisa, P.-H. Tournier, F. Luddens, C. Lothodé and I. Danaila
Parallel finite-element codes for the simulation of two-dimensional and three-dimensional solid-liquid phase-change systems with natural convection,
Computer Physics Communications, 257, p. 107492(1-26)   DOI: 10.1016/j.cpc.2020.107492 hal-02486213  (2020).
Dedicated web page with codes and supplemental material (movies, pictures).

 A. Rakotondrandisa, G. Sadaka and I. Danaila
A finite-element toolbox for the simulation of solid-liquid phase-change systems with natural convection,
Computer Physics Communications, 253, p. 107188(1-20)  DOI: 10.1016/j.cpc.2020.107188   hal-02126697  (2020).
Dedicated web page with codes and supplemental material (movies, pictures).

 A. Rakotondrandisa, I. Danaila, L. Danaila
Numerical modelling of a melting-solidification cycle of a phase-change material with complete or partial melting (pdf),
International Journal of Heat and Fluid Flow, 76, p. 57-71   (2019).

 P. G. Kevrekidis, I. Danaila, J.-G. Caputo, R. Carretero-González
Planar and Radial Kinks in Nonlinear Klein-Gordon Models: Existence, Stability and Dynamics (paper on arXiv)     (final pdf),
Physical Review E, 98, p. 052217(1-13)   (2018).

 I. Danaila, F. Luddens, F. Kaplanski, S. S. Sazhin
Formation number of confined vortex rings (pdf),
Physical Review Fluids, 3, p. 094701(1-22)   (2018).

 A. Papoutsakis, S. S. Sazhin, S. Begg, I. Danaila, F. Luddens
An efficient Adaptive Mesh Refinement (AMR) algorithm for the Discontinuous Galerkin method:
applications for the computation of compressible two-phase flows (pdf),
Journal of Computational Physics, 363, p. 399-427   (2018).

 I. Danaila, B. Protas
Computation of Ground States of the Gross-Pitaevskii Functional via Riemannian Optimization (pdf),
SIAM J. Scientific Computing, 39(6), p. B1102-B1129   (2017).

 I. Danaila, F. Kaplanski and S. Sazhin
A model for confined vortex rings with elliptical core vorticity distribution (pdf),
Journal of Fluid Mechanics, 811, p. 67-94   (2017).

 I. Danaila, M. A. Khamehchi, V. Gokhroo, P. Engels and P. G. Kevrekidis
Vector dark-antidark solitary waves in multicomponent Bose-Einstein condensates (pdf),
Physical Review A, 94, p. 053617 (1-8)   (2016).

 G. Vergez, I. Danaila, S. Auliac and F. Hecht
A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation (pdf),
Computer Physics Communications, 209, p. 144-162  (2016).

 I. Danaila, B. Protas
Optimal reconstruction of inviscid vortices (pdf),
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 471, p. 20150323  (2015).

 I. Danaila, F. Kaplanski, S. Sazhin
Modelling of confined vortex rings (pdf),
Journal of Fluid Mechanics, 774, p. 267-297  (2015).

 I. Danaila, R. Moglan, F. Hecht, S. Le Masson
A Newton method with adaptive finite elements for solving phase-change problems with natural convection (pdf),
Journal of Computational Physics, 274, p. 826-840  (2014).

 Y. Zhang, I. Danaila
Existence and numerical modelling of vortex rings with elliptic boundaries (pdf),
Applied Mathematical Modelling, 37, p. 4809-4824  (2013).

 P. Kazemi, I. Danaila
Sobolev gradients and image interpolation (pdf),
SIAM Journal on Imaging Sciences (SIIMS), 5(2), p. 601-624  (2012).

 Y. Zhang, I. Danaila
A finite element BFGS algorithm for the reconstruction of the flow field generated by vortex rings (pdf),
Journal of Numerical Mathematics, 3-4, p. 325-340  (2012).

 R. Moglan, I. Danaila, S. Le Masson
Méthodes d'ordre élevé pour la simulation numérique des phénomènes thermo-aéraulique dans les armoires de télécommunications (pdf),
dans Thermique en conditions extrêmes, Editeurs JC. Batsale, M. Azaiez, Editions Société Française de Thermique, p. 237-245  (2012).

 I. Danaila
Modeling and simulating the flow generated by new automotive injectors (pdf), in European Success Stories in Industrial Mathematics,
Editor European Mathematical Society et European Science Foundation, Springer  (2011).

 I. Danaila, P. Kazemi
A new Sobolev gradient method for direct minimization of the Gross-Pitaevskii energy with rotation (pdf)  (also on X-arxiv),
SIAM J. Scientific Computing, 32, p. 2447--2467  (2010).

 I. Danaila, F. Hecht
A finite element method with mesh adaptivity for computing vortex states in fast-rotating Bose-Einstein condensates (pdf) (also on X-arxiv),
Journal of Computational Physics, 229, p. 6946-6960  (2010).

 I. Danaila, C. Vadean, S. Danaila
Specified discharge velocity model for numerical simulations of vortex rings (pdf),
Theoretical and Computational Fluid Dynamics, 23, p. 317-332  (2009).

 I. Danaila, J. Hélie
Numerical simulation of the post-formation evolution of a laminar vortex ring  (pdf),
Physics of Fluids, 20, p. 073602 (1-14)  (2008).

 S. Benteboula, I. Danaila
Variable density vortex rings (pdf),
in Advances in Turbulence XI, Editors J. M. L. M. Palma and A. Silva Lopes, Springer, p. 771, (2007).

 I. Danaila
Three-dimensional simulations of quantized vortices in rotating Bose-Einstein condensates (pdf),
Bulletin of the "Politehnica" University of Timisoara, Transactions on Mechanics, 51, p. 155-162  (2006).

 S. Benteboula, I. Danaila
Simulation numérique de l'injection gaz-gaz à masse volumique variable (pdf),
in Défis thermiques dans l'industrie nucléaire, Editions Société Française de Thermique, p. 521-525, (2006).

 O. El Ganaoui, C. Habchi, G. Bruneaux and I. Danaila
Numerical simulation of an experimental gas-gas jet generated by single-hole diesel-like injection (pdf),
Int. J. Numerical Methods Fluids, 47, p. 1011-1018 (2005).

 I. Danaila
Three-dimensional vortex structure of a fast rotating Bose-Einstein condensate with harmonic-plus-quartic confinement (pdf),
Physical Review A, 72, p. 013605 (1-6) (2005).

 I. Danaila
Vortex dipoles impinging on finite aspect ratio rectangular obstacle (pdf),
Flow, Turbulence and Combustion, 72, p. 391-406 (2004).

 L.-C. Crasovan, V. M. Pérez-Garcia, I. Danaila, D. Mihalache and L. Torner
Three-dimensional parallel vortex rings in Bose-Einstein condensate (pdf),
Physical Review A, 70, p. 033605 (1-5)  (2004).

 A. Aftalion, I. Danaila
Giant vortices in combined harmonic and quartic traps (pdf),
Physical Review A, 69, p. 033608 (1-6) (2004).

 A. Aftalion, I. Danaila
Three-dimensional vortex configurations in a rotating Bose Einstein condensate (pdf),
Physical Review A, 68, p. 023603 (1-6) (2003).

 I. Danaila
Numerical simulation of a rotating Bose Einstein condensate (pdf),
in Actes du CANUM  (2003).

 I. Danaila, B. J. Boersma
Direct numerical simulation of bifurcating jets (pdf),
Physics of Fluids, 12, p. 1255-1258  (2000).

 I. Danaila, T. Baritaud
Direct numerical simulation of IC engine flows using a boundary body-force method,
in Actes du CANUM  (2000).

 I. Danaila, J. Dusek, F. Anselmet
Nonlinear dynamics at a Hopf bifurcation with axisymmetry (pdf),
Physical Review E, 57, p. 3695-3698  (1998).

 I. Danaila, J. Dusek, F. Anselmet
Coherent structures in a round, spatially evolving, unforced, homogeneous jet at low Reynolds numbers (pdf),
Physics of Fluids, 9, p. 3323-3342 (1997).

 I. Danaila, B. J. Boersma
Mode interaction in a forced homogeneous jet at low Reynolds numbers,
in Proceedings of the Summer Program 1998, Center for Turbulence Research, Stanford University and NASA Ames, p. 141--158  (1998).

 I. Danaila, J. Dusek, F. Anselmet
Nonlinear dynamics of Low Reynolds Number Round Jets: Periodic Attractors and Transition to Chaos,
in Advances in Turbulence VII, Editor U. Frisch, Kluwer Academic Publishers, p. 105-108  (1998).

 I. Danaila, J. Dusek, F. Anselmet
Direct numerical simulations of the free, unsteady, round, unforced jet at low Reynolds numbers,
in Direct and Large-Eddy Simulation II, Editors J.-P. Chollet, P. R. Voke and L. Kleiser, Kluwer Academic Publishers, p. 1-10  (1997).

 I. Danaila, J. Dusek, F. Anselmet
Space Structure of the Free, Unsteady, Round, Homogeneous Jet at Low Reynolds Numbers,
in Advances in Turbulence VI, Editors S. Gavrilakis, L. Machiels and P. A. Monkewitz, Kluwer Academic Publishers, p. 11-14  (1996).

 J. Dusek, Ph. Fraunié, C. Dauchy, I. Danaila
Secondary instabilities and transition to turbulence in wakes and jets,
in Computation of Three-Dimensional Complex Flows, Editors M. Deville, S. Gavrilakis and I. L. Ryhming, Kluwer Academic Publishers, p. 78  (1996).