A structure-preserving particle discretisation for the Lenard-Bernstein collision operator
arXiv (Cornell University)(2023)
摘要
Collisions are an important dissipation mechanism in plasmas. In
one-dimensional modelling, a commonly used collision operator is the
Lenard-Bernstein operator, or its modified energy- and momentum-conserving
counterpart. When approximating such operators numerically, it is important to
respect their structure in order to satisfy the laws of thermodynamics. It is,
however, challenging to discretise such operators in a structure-preserving way
when considering particle methods. In this work, we present a macro-particle
discretisation of the Lenard-Bernstein collision operator that is energy and
momentum preserving.
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关键词
particle discretisation,structure-preserving,lenard-bernstein
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