Numerical simulations in astrophysics: Supernovae explosions, magnetorotational model and neutrino emission.
Bisnovatyi-Kogan, G.S. (1999)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Numerical approximation of self-consistent Vlasov models for low-frequency electromagnetic phenomena”
Numerical simulations in astrophysics: Supernovae explosions, magnetorotational model and neutrino emission.
Numerical hydrodynamics and magnetohydrodynamics in general relativity.
Font, José A. (2008)
Living Reviews in Relativity [electronic only]
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Computational cosmology: From the early universe to the large scale structure.
Anninos, Peter (2001)
Living Reviews in Relativity [electronic only]
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Mathematical models for laser-plasma interaction
Rémi Sentis (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We address here mathematical models related to the Laser-Plasma Interaction. After a simplified introduction to the physical background concerning the modelling of the laser propagation and its interaction with a plasma, we recall some classical results about the geometrical optics in plasmas. Then we deal with the well known paraxial approximation of the solution of the Maxwell equation; we state a coupling model between the plasma hydrodynamics and the laser propagation. Lastly, we...
On the mathematical and numerical modelling of electron beams
Raviart, P.-A.
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Comparison of Vlasov solvers for spacecraft charging simulation
Nicolas Vauchelet, Jean-Paul Dudon, Christophe Besse, Thierry Goudon (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The modelling and the numerical resolution of the electrical charging of a spacecraft in interaction with the Earth magnetosphere is considered. It involves the Vlasov-Poisson system, endowed with non standard boundary conditions. We discuss the pros and cons of several numerical methods for solving this system, using as benchmark a simple 1D model which exhibits the main difficulties of the original models.
A 2D finite element procedure for magnetic field analysis taking into account a vector Preisach model.
Dupré, Luc R., Van Keer, Roger, Melkebeek, Jan A.A. (1997)
Mathematical Problems in Engineering
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The Child–Langmuir limit for semiconductors : a numerical validation
María-José Cáceres, José-Antonio Carrillo, Pierre Degond (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The Boltzmann–Poisson system modeling the electron flow in semiconductors is used to discuss the validity of the Child–Langmuir asymptotics. The scattering kernel is approximated by a simple relaxation time operator. The Child–Langmuir limit gives an approximation of the current-voltage characteristic curves by means of a scaling procedure in which the ballistic velocity is much larger that the thermal one. We discuss the validity of the Child–Langmuir regime by performing detailed numerical...
Numerical hydrodynamics in special relativity.
Martí, José Maria, Müller, Ewald (2003)
Living Reviews in Relativity [electronic only]
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Some tracks in air pollution modelling and simulation.
Bruno Sportisse, Jaouad Boutahar, Edouard Debry, Denis Quélo, Karine Sartelet (2002)
RACSAM
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In this article we discuss some issues related to Air Pollution modelling (as viewed by the authors): subgrid parametrization, multiphase modelling, reduction of high dimensional models and data assimilation. Numerical applications are given with POLAIR, a 3D numerical platform devoted to modelling of atmospheric trace species.