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nonlinearfriction equation

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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1 results

Spectral methods for one-dimensional kinetic modelsofgranular flows and numerical quasi elastic limit
Giovanni Naldi, Lorenzo Pareschi, Giuseppe Toscani
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 37 / Issue 1 / January 2003

Published online by Cambridge University Press:

15 March 2003, pp. 73-90

Print publication:

January 2003
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In this paper we introduce numerical schemes for aone-dimensional kinetic model of the Boltzmann equation withdissipative collisions and variable coefficient of restitution. Inparticular, we study the numerical passage of the Boltzmannequation with singular kernel to nonlinear friction equations inthe so-called quasi elastic limit. To this aim we introduce aFourier spectral method for the Boltzmann equation [CITE]and show that the kernel modes that define the spectral methodhave the correct quasi elastic limit providing a consistentspectral method for the limiting nonlinear friction equation.