Bibliography
Major publications by the team in recent years
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1J. Blum, C. Boulbe, B. Faugeras.
Reconstruction of the equilibrium of the plasma in a Tokamak and identification of the current density profile in real time, in: Journal of Computational Physics, 2012, vol. 231, pp. 960-980.
http://hal.archives-ouvertes.fr/hal-00419608 -
2B. Braconnier, B. Nkonga.
Relaxation method for low Mach number compressible multiphase flow, in: Journal of Computational Physics, 2009, vol. 228(16), pp. 5722-5739. -
3P. Degond, F. Deluzet, A. Sangam, M. H. Vignal.
An Asymptotic Preserving scheme for the Euler equations in a strong magnetic field, in: J. Comput. Phys., 2009, vol. 228, no 10, pp. 3540–3558.
http://dx.doi.org/10.1016/j.jcp.2008.12.040 -
4B. Faugeras, J. Blum, C. Boulbe, P. Moreau, E. Nardon.
2D interpolation and extrapolation of discrete magnetic measurements with toroidal harmonics for equilibrium reconstruction in a Tokamak, in: Plasma Phys. Control Fusion, 2014, vol. 56. -
5J. L. Guermond, R. Pasquetti, B. Popov.
Entropy viscosity method for non-linear conservation laws, in: J. of Comput. Phys., 2011, vol. 230, pp. 4248-4267. -
6H. Guillard, F. Duval.
A Darcy law for the drift velocity in a two-phase model, in: J. Comput. Phys., 2007, vol. 224, pp. 288–313. -
7P. H. Maire, B. Nkonga.
Multi-scale Godunov-type method for cell-centered discrete Lagrangian hydrodynamics, in: Journal of Computational Physics, 2009, vol. 228(3), pp. 799-821. -
8A. Murrone, H. Guillard.
On the behavior of upwind schemes in the low Mach number limit: III. Preconditioned dissipation for a five equation two phase model, in: Computers and Fluids, 2008, vol. 37, pp. 1209-1224. -
9R. Pasquetti.
Spectral vanishing viscosity method for large-eddy simulation of turbulent flows, in: J. Sci. Comp., 2006, vol. 27(1-3), pp. 365-375. -
10A. Sangam.
An HLLC scheme for Ten-Moments approximation coupled with magnetic field, in: Int. J. Comput. Sci. Math., 2008, vol. 2, no 1/2, pp. 73–109.
http://dx.doi.org/10.1504/IJCSM.2008.019724
Doctoral Dissertations and Habilitation Theses
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11B. Faugeras.
Modélisation, simulation numérique et problèmes inverses. Contributions en physique des plasmas de Tokamak, en écologie marine et autres travaux, Université de Nice Sophia-Antipolis, October 2015, Habilitation à diriger des recherches.
https://hal.archives-ouvertes.fr/tel-01227694
Articles in International Peer-Reviewed Journals
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12D. S. Balsara, J. Vides, K. Gurski, B. Nkonga, M. Dumbser, S. Garain, E. Audit.
A two-dimensional Riemann solver with self-similar sub-structure – Alternative formulation based on least squares projection, in: Journal of Computational Physics, January 2016, vol. 304. [ DOI : 10.1016/j.jcp.2015.10.013 ]
https://hal.archives-ouvertes.fr/hal-01254231 -
13C. Berthon, B. Dubroca, A. Sangam.
An entropy preserving relaxation scheme for ten-moments equations with source terms, in: Communications in Mathematical Sciences, 2015, vol. 13, no 8, pp. 2119-2154. [ DOI : 10.4310/CMS.2015.v13.n8.a7 ]
https://hal.inria.fr/hal-01255069 -
14B. Faugeras.
Tokamak plasma boundary reconstruction using toroidal harmonics and an optimal control method, in: Fusion Science and Technology, 2016.
https://hal.archives-ouvertes.fr/hal-01227686 -
15T. Goudon, B. Nkonga, M. Rascle, M. Ribot.
Self-organized populations interacting under pursuit-evasion dynamics, in: Physica D: Nonlinear Phenomena, 2015, 41 p.
https://hal.archives-ouvertes.fr/hal-01070626 -
16H. Heumann, J. Blum, C. Boulbe, B. Faugeras, G. Selig, P. Hertout, E. Nardon, J.-M. Ané, S. Brémond, V. Grandgirard.
Quasi-static Free-Boundary Equilibrium of Toroidal Plasma with CEDRES++: Computational Methods and Applications, in: Journal of Plasma Physics, 2015, 35 p. [ DOI : 10.1017/S0022377814001251 ]
https://hal.inria.fr/hal-01088772 -
17H. Heumann, R. Hiptmair, C. Pagliantini.
Stabilized Galerkin for transient advection of differential forms, in: Discrete and Continuous Dynamical Systems - Series S, 2015, vol. 9, no 1, pp. 185 - 214. [ DOI : 10.3934/dcdss.2016.9.185 ]
https://hal.inria.fr/hal-01248140 -
18S. Minjeaud, R. Pasquetti.
High order approximation of a tokamak edge plasma transport minimal model with Bohm boundary conditions, in: Journal of Computational Physics, January 2015, pp. 84-87.
https://hal-unice.archives-ouvertes.fr/hal-01144699 -
19R. Pasquetti, N. Peres.
A penalty model of synthetic micro-jet actuator with application to the control of wake flows, in: Computers and Fluids, March 2015, pp. 203-217. [ DOI : 10.1016/j.compfluid.2015.02.019 ]
https://hal-unice.archives-ouvertes.fr/hal-01144703 -
20J. Vides, B. Nkonga, E. Audit.
A Simple Two-Dimensional Extension of the HLL Riemann Solver for Hyperbolic Systems of Conservation Laws, in: Journal of Computational Physics, January 2015, vol. 280, pp. 643-675. [ DOI : 10.1016/j.jcp.2014.10.013 ]
https://hal.inria.fr/hal-01103529
Invited Conferences
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21J. Blum, C. Boulbe, H. Heumann, B. Faugeras.
Control methods for the optimization of plasma scenarios in a tokamak, in: 27 th IFIP TC7 Conference 2015 on System Modelling and Optimization, Sophia Antipolis, France, June 2015.
https://hal.archives-ouvertes.fr/hal-01246098 -
22R. Pasquetti.
Entropy viscosity stabilized spectral element approximation of the shallow water equations with dry-wet transitions, in: ICCP 9, Singapour, Singapore, January 2015.
https://hal-unice.archives-ouvertes.fr/hal-01144715
Conferences without Proceedings
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23M. Blommaert, H. Heumann, M. Baelmans, N. R. Gauger, D. Reiter.
An automated approach to magnetic divertor configuration design, using an efficient optimization methodology, in: DPG Frühjahrstagung 2015 Plasmaphysik, Bochum, Germany, 2015.
https://hal.archives-ouvertes.fr/hal-01248151 -
24M. Blommaert, H. Heumann, M. Baelmans, Y. Marandet, H. Bufferand, N. R. Gauger, D. Reiter.
Magnetic Field Models and their Application in Optimal Magnetic Divertor Design, in: 15th International Workshop on Plasma Edge Theory in Fusion Devices (PET15), Nara, Japan, 2015.
https://hal.archives-ouvertes.fr/hal-01248154 -
25R. Pasquetti, S. Minjeaud.
Fourier-spectral element approximation of the ion-electron Braginskii system with application to tokamak edge plasma in divertor configuration, in: 2nd frontiers in Computational Physics: Energy sciences, Zurich, France, June 2015.
https://hal-unice.archives-ouvertes.fr/hal-01160865 -
26N. Peres, R. Pasquetti.
Large-eddy simulations of controlled wake flows using a penalty model of synthetic micro-jets, in: GAMM 86th Annual Scientific Conference, Lecce, Italy, March 2015.
https://hal-unice.archives-ouvertes.fr/hal-01144718
Scientific Books (or Scientific Book chapters)
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27J. Blum.
Modélisation fluide des plasmas dans les Tokamak, in: Des problèmes à N corps aux Tokamaks, Edition de l'Ecole Polytechnique, 2015.
https://hal.inria.fr/hal-01253955 -
28H. Heumann, R. Hiptmair.
Stabilized Galerkin for Linear Advection of Vector Fields, in: Numerical Mathematics and Advanced Applications - ENUMATH 2013, Springer, 2015. [ DOI : 10.1007/978-3-319-10705-9_3 ]
https://hal.archives-ouvertes.fr/hal-01108297
Internal Reports
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29H. Guillard.
The mathematical theory of reduced MHD models for fusion plasmas, Inria, April 2015, no RR-8715.
https://hal.inria.fr/hal-01145009 -
30H. Heumann, R. Hiptmair, C. Pagliantini.
Stabilized Galerkin for Transient Advection of Differential Forms, SAM, ETH Zürich, January 2015.
https://hal.archives-ouvertes.fr/hal-01119481
Other Publications
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31D. Aregba-Driollet, J. Breil, S. Brull, B. Dubroca, E. Estibals.
Modelling and Numerical Approximation for the Nonconservative Bitemperature Euler Model, 2015, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01204631 -
32F. Berthelin, T. Goudon, S. Minjeaud.
Multifluid Flows: A Kinetic Approach, May 2015, working paper or preprint. [ DOI : 10.1007/s10915-015-0044-1 ]
https://hal.archives-ouvertes.fr/hal-01158016 -
33S. Minjeaud, R. Pasquetti.
Spectral element schemes for high order partial differential equations : Application to the Korteweg-de Vries model, May 2015, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-01158007