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Energy-Conserving Discontinuous Galerkin Methods for Vlasov Systems

发布时间:2022-09-28 浏览量:46

时   间:  2022-09-28 16:00 — 17:00

地   点:  腾讯会议 APP3()
报告人:  仲杏慧
单   位:  浙江大学
邀请人:  徐振礼
备   注:  会议号:221449855 密码:105738
报告摘要:  

We propose energy-conserving numerical schemes for the Vlasov-type systems. Those equations are fundamental models in the simulation of plasma physics. The total energy is an important physical quantity that is conserved by those models. Our methods are the first Eulerian solver that can preserve fully discrete total energy conservation. The main features of our methods include energy-conservative temporal and spatial discretization. In particular, an energy-conserving operator splitting is proposed to enable efficient calculation of fully implicit methods. We validate our schemes by rigorous derivations and benchmark numerical examples.