Energy-conserving discontinuous Galerkin methods for the Vlasov–Ampère system
作者: Yingda ChengAndrew J. ChristliebXinghui Zhong
作者单位: 1Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA
刊名: Journal of Computational Physics, 2014, Vol.256 , pp.630-655
来源数据库: Elsevier Journal
DOI: 10.1016/j.jcp.2013.09.013
关键词: Vlasov–Ampère systemEnergy conservationDiscontinuous Galerkin methodsLandau dampingTwo-stream instabilityBump-on-tail instability
原始语种摘要: Abstract(#br)In this paper, we propose energy-conserving numerical schemes for the Vlasov–Ampère (VA) systems. The VA system is a model used to describe the evolution of probability density function of charged particles under self consistent electric field in plasmas. It conserves many physical quantities, including the total energy which is comprised of the kinetic and electric energy. Unlike the total particle number conservation, the total energy conservation is challenging to achieve. For simulations in longer time ranges, negligence of this fact could cause unphysical results, such as plasma self heating or cooling. In this paper, we develop the first Eulerian solvers that can preserve fully discrete total energy conservation. The main components of our solvers include explicit or...
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影响因子:2.138 (2012)

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