Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi elastic limit
Articolo
Data di Pubblicazione:
2003
Citazione:
Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi elastic limit / G. Naldi, L. Pareschi, G. Toscani. - In: MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE. - ISSN 0764-583X. - 37:1(2003), pp. 73-90. [10.1051/m2an:2003019]
Abstract:
In this paper we introduce numerical schemes for a one-dimensional kinetic model of the Boltzmann equation with dissipative collisions and variable coefficient of restitution. In particular, we study the numerical passage of the Boltzmann equation with singular kernel to nonlinear friction equations in the so-called quasi elastic limit. To this aim we introduce a Fourier spectral method for the Boltzmann equation [25,26] and show that the kernel modes that define the spectral method have the correct quasi elastic limit providing a consistent spectral method for the limiting nonlinear friction equation
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Boltzmann equation, granular media, spectral methods, singular integrals, nonlinear friction equation, quasi elastic limit
Elenco autori:
G. Naldi, L. Pareschi, G. Toscani
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