PPPS-2013: Energy conserving numerical schemes for Vlasov-Ampere and Vlasov-Maxwell systems

机译：PPPS-2013：Vlasov-Ampere和Vlasov-Maxwell系统的节能数值方案

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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.

机译：我们为Vlasov-Ampere和Vlasov-Maxwell系统开发节能方案。所提出的方法将系统的总能量保留在完全离散的水平上，并且它们具有系统的框架以结合显式和隐式的时间离散化。具有适当数值通量的不连续Galerkin方法用于保证此类特性，并且可以将其设计为在非结构化网格上具有潜在的实现方式。将提供基准数字测试结果。

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来源
《2013 Abstracts IEEE International Conference on Plasma Science》|2013年|1|共1页
会议地点 San Francisco CA(US)
作者
Cheng Yingda; Christlieb Andrew J.; Zhong Xinghui;
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Department of Mathematics, Michigan State University, East Lansing, MI 48824 USAc;

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正文语种 eng
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专利

1. Numerical study of the two-species Vlasov-Ampere system: Energy-conserving schemes and the current-driven ion-acoustic instability [J] . Cheng Yingda, Christlieb Andrew J., Zhong Xinghui Journal of Computational Physics . 2015,第Null期

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2. Numerical approximations of the Navier-Stokes equation coupled with volume-conserved multi-phase-field vesicles system: Fully-decoupled, linear, unconditionally energy stable and second-order time-accurate numerical scheme [J] . Yang Xiaofeng Computer Methods in Applied Mechanics and Engineering . 2021,第Mara1期

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3. Generalized Energy Integrals and Energy Conserving Numerical Schemes for Partial Differential Equations [J] . Chiaki Hirota, Takanori Ide, Nobuyuki Fukuoka, Japan journal of industrial and applied mathematics . 2004,第2期

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4. PPPS-2013: Energy conserving numerical schemes for Vlasov-Ampere and Vlasov-Maxwell systems [C] . Cheng Yingda, Christlieb Andrew J., Zhong Xinghui IEEE International Conference on Plasma Science . 2013

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5. Energy-Conserving Composite Staggered -Grid Finite-Difference Time-Domain Scheme for First-Order Wave Equation System [D] . Zhou, Muhong. 2017

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6. An Energy Conserving and Transmission Radius Adaptive Scheme to Optimize Performance of Energy Harvesting Sensor Networks [O] . Xin Ju, Wei Liu, Chengyuan Zhang, 2018

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7. Numerical Study of the Two-Species Vlasov-Ampère System: Energy-Conserving Schemes and the Current-Driven Ion-Acoustic Instability [O] . Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong 2014

机译：两种Vlasov-ampère系统的数值研究：节能方案和电流驱动的离子声学不稳定性

PPPS-2013: Energy conserving numerical schemes for Vlasov-Ampere and Vlasov-Maxwell systems

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