Abstract
In this paper, we extend the spectral method developed in [L. Pareschi, B. Perthame, A Fourier spectral method for homogeneous Boltzmann equations, Trans. Theo. Stat. Phys. 25 (1996) 369-383; L. Pareschi, G. Russo, Numerical solution of the Boltzmann equation I: Spectrally accurate approximation of the collision operator, SIAM J. Numer. Anal. 37 (2000) 1217-1245] to the case of the inelastic Boltzmann equation describing the collisional motion of a granular gas with and without a heating source. The schemes are based on a Fourier representation of the equation in the velocity space and provide a very accurate description of the time evolution of the distribution function. Several numerical results in dimension one to three show the efficiency and accuracy of the proposed algorithms. Some mathematical and physical conjectures are also addressed with the aid of the numerical simulations.
| Original language | English |
|---|---|
| Pages (from-to) | 216-235 |
| Number of pages | 20 |
| Journal | Journal of Computational Physics |
| Volume | 202 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2005 |
Keywords
- Granular gases
- Homogeneous cooling
- Inelastic Boltzmann equation
- Spectral methods
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics
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