Integer lattice dynamics for Vlasov-Poisson

被引:4
|
作者
Mocz, Philip [1 ]
Succi, Sauro [2 ,3 ]
机构
[1] Harvard Smithsonian Ctr Astrophys, 60 Garden St, Cambridge, MA 02138 USA
[2] CNR, Ist Appl Calcolo, Viale Policlin 137, I-00161 Rome, Italy
[3] Harvard Sch Engn & Appl Sci, Inst Appl Computat Sci, Northwest B162,52, Cambridge, MA 02138 USA
基金
美国国家科学基金会;
关键词
gravitation; methods: numerical; stars: kinematics and dynamics; galaxies: kinematics and dynamics; dark matter; COLLISIONLESS; SIMULATION; MESH; CODE;
D O I
10.1093/mnras/stw2928
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We revisit the integer lattice (IL) method to numerically solve the Vlasov-Poisson equations, and show that a slight variant of the method is a very easy, viable, and efficient numerical approach to study the dynamics of self-gravitating, collisionless systems. The distribution function lives in a discretized lattice phase-space, and each time-step in the simulation corresponds to a simple permutation of the lattice sites. Hence, the method is Lagrangian, conservative, and fully time-reversible. IL complements other existing methods, such as N-body/ particle mesh (computationally efficient, but affected by Monte Carlo sampling noise and two-body relaxation) and finite volume (FV) direct integration schemes (expensive, accurate but diffusive). We also present improvements to the FV scheme, using a moving-mesh approach inspired by IL, to reduce numerical diffusion and the time-step criterion. Being a direct integration scheme like FV, IL is memory limited (memory requirement for a full 3D problem scales as N-6, where N is the resolution per linear phase- space dimension). However, we describe a new technique for achieving N-4 scaling. The method offers promise for investigating the full 6D phase- space of collisionless systems of stars and dark matter.
引用
收藏
页码:3154 / 3162
页数:9
相关论文
共 50 条
  • [21] The Vlasov-Poisson system with radiation damping
    Kunze, M
    Rendall, AD
    ANNALES HENRI POINCARE, 2001, 2 (05): : 857 - 886
  • [22] Fluctuations and control in the Vlasov-Poisson equation
    Lima, Ricardo
    Mendes, R. Vilela
    PHYSICS LETTERS A, 2007, 368 (1-2) : 87 - 91
  • [23] Functional solutions for the Vlasov-Poisson system
    Carrillo, JA
    Soler, J
    APPLIED MATHEMATICS LETTERS, 1997, 10 (01) : 45 - 50
  • [24] The gyrokinetic approximation for the Vlasov-Poisson system
    Saint-Raymond, L
    MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2000, 10 (09): : 1305 - 1332
  • [25] FOCUSING SOLUTIONS OF THE VLASOV-POISSON SYSTEM
    Zhang, Katherine Zhiyuan
    KINETIC AND RELATED MODELS, 2019, 12 (06) : 1313 - 1327
  • [26] An inverse problem for the Vlasov-Poisson system
    Golgeleyen, Fikret
    Yamamoto, Masahiro
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2015, 23 (04): : 363 - 372
  • [27] Traveling waves of the Vlasov-Poisson system
    Suzuki, Masahiro
    Takayama, Masahiro
    Zhang, Katherine Zhiyuan
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 428 : 230 - 290
  • [28] The Energy Conservation of Vlasov-Poisson Systems
    Jingpeng Wu
    Xianwen Zhang
    Acta Mathematica Scientia, 2023, 43 : 668 - 674
  • [29] The Vlasov-Poisson System with Radiation Damping
    M. Kunze
    A.D. Rendall
    Annales Henri Poincaré, 2001, 2 : 857 - 886
  • [30] Gravitational Collapse and the Vlasov-Poisson System
    Rein, Gerhard
    Taegert, Lukas
    ANNALES HENRI POINCARE, 2016, 17 (06): : 1415 - 1427