Entropy Monotonic Spectral Method for Boltzmann Equation

Stanford University

2017-06-19 10:30-11:30 Science Building No. 1 1493

Abstract: In this talk, I will introduce a spectral method that discretizes the Boltzmann collision operator and satisfies a discrete version of the H-theorem. The method is obtained by modifying the existing Fourier spectral method to match a classical form of the discrete velocity method. It preserves the positivity of the solution on the Fourier collocation points and also satisfies the H-theorem. The fast algorithms appeared previously in the literature can be readily applied to this method to speed up the computation. A second-order convergence rate is validated by numerical experiments.