Correct characteristics curves of Vlasov equation, fully respecting Maxwell equations in plasma kinetic simulation in lagrangian approach

被引：0

作者：

Lin, H. ^{[1
]}

Liu, C. P. ^{[1
]}

机构：

[1] Shanghai Inst Opt & Fine Mech, State Key Lab High Field Laser Phys, POB 800-211, Shanghai 201800, Peoples R China

来源：

PHYSICA SCRIPTA | 2025年 / 100卷 / 02期

基金：

中国国家自然科学基金;

关键词：

partial differential equation; characteristic curve method; vlasov-maxwell system; kinetic simulation; lagrangian approach; COULOMB COLLISION MODEL; CHARGE CONSERVATION; PARTICLE SIMULATION; IMPLICIT; SCHEME; ENERGY;

D O I：

10.1088/1402-4896/ada4f2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We strictly demonstrate that the conflict between ordinary differential equations (ODEs) converted, through characteristic curve method, from one of coupled partial differential equations (PDEs) in Vlasov-Maxwell system and other coupled PDEs arises from inappropriate and habitual choice of one of two classes of characteristic curves and can be overcome by choosing another class. More comprehensive consideration on the characteristic curves of Vlasov equation can warrant kinetic simulation in Lagrangian approach getting rid of a well-known downside which refers to violation of Maxwell equations and continuity equation. This yields a sound/robust scheme of kinetic simulation in Lagrangian approach applicable to study a variety of topics. PACS: 52.65.-y.

引用

页数：17