On steady-state preserving spectral methods for homogeneous Boltzmann equationsReport as inadecuate




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1 ICJ - Institut Camille Jordan Villeurbanne 2 KALiFFE - Kinetic models AppLIed for Future of Fusion Energy Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan Villeurbanne, INSMI CNRS 3 Department of Mathematics and Informatics 4 RAPSODI - Reliable numerical approximations of dissipative systems LPP - Laboratoire Paul Painlevé, Inria Lille - Nord Europe 5 CSCAMM - Center for Scientific Computation and Mathematical Modeling

Abstract : In this note, we present a general way to construct spectral methods for the collision operator of the Boltzmann equation which preserves exactly the Maxwellian steady state of the system. We show that the resulting method is able to approximate with spectral accuracy the solution uniformly in time.





Author: Francis Filbet - Lorenzo Pareschi - Thomas Rey -

Source: https://hal.archives-ouvertes.fr/



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