Suppression of Recurrence in the Hermite-Spectral Method for Transport Equations
主 题: Suppression of Recurrence in the Hermite-Spectral Method for Transport Equations
报告人: Zhenning Cai (National University of Singapore)
时 间: 2018-06-14 14:00-15:00
地 点: Room 1418, Sciences Building No. 1
Abstract: We study the unphysical recurrence phenomenon arising in the numerical simulation of the transport equations using Her mite-spectral method. From a mathematical point of view, the suppression of this numerical artifact with filters is theoretically analyzed for two types of transport equations.
It is rigorously proven that all the non-constant modes are damped exponentially by the filters in both models, and formally shown that the filter does not affect the damping rate of the electric energy in the linear Landau damping problem. Numerical tests are performed to show the effect of the filters.