Title :
PPPS-2013: Energy conserving numerical schemes for Vlasov-Ampere and Vlasov-Maxwell systems
Author :
Yingda Cheng ; Christlieb, Andrew J. ; Xinghui Zhong
Author_Institution :
Dept. of Math., Michigan State Univ., East Lansing, MI, USA
Abstract :
We develop energy conserving schemes for Vlasov-Ampere and Vlasov-Maxwell systems. The proposed methods preserve the total energy of the system on the fully discrete level, and they have a systematic framework to incorporate explicit and implicit temporal discretizations. The discontinuous Galerkin methods with suitable numerical fluxes are used to guarantee such properties, and they could be designed with potential implementations on unstructured meshes. Benchmark numerical test results will be provided.
Keywords :
Galerkin method; Maxwell equations; Vlasov equation; benchmark testing; Vlasov-Ampere system; Vlasov-Maxwell system; benchmark numerical testing; design; discontinuous Galerkin method; discrete level; energy conserving numerical analysis; numerical fluxes; temporal discretization; total energy; unstructured meshes;
Conference_Titel :
Plasma Science (ICOPS), 2013 Abstracts IEEE International Conference on
Conference_Location :
San Francisco, CA
DOI :
10.1109/PLASMA.2013.6635214
