Vlasov simulation in multiple spatial dimensions

Rose, Harvey A; Daughton, William

doi:10.1063/1.3662112

Title: Vlasov simulation in multiple spatial dimensions

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Abstract

A long-standing challenge encountered in modeling plasma dynamics is achieving practical Vlasov equation simulation in multiple spatial dimensions over large length and time scales. While direct multi-dimension Vlasov simulation methods using adaptive mesh methods [M. Gutnic et al., Comput. Phys. Commun. 164, 214 (2004)] have recently shown promising results in two dimensions (2D) [J. W. Banks et al., Phys. Plasmas 18, 052102 (2011); B. I. Cohen et al., November 10, 2010, http://meetings.aps.org/link/BAPS.2010.DPP.NP9.142], in this paper, we present an alternative, the Vlasov multi dimensional (VMD) model, that is specifically designed to take advantage of solution properties in regimes when plasma waves are confined to a narrow cone, as may be the case for stimulated Raman scatter in large optic f laser beams. Perpendicular grid spacing large compared to a Debye length is then possible without instability or loss of accuracy, enabling an order 10 decrease in required computational resources compared to standard particle in cell (PIC) methods in 2D, with another reduction of that order in 3D. Further advantage compared to PIC methods accrues in regimes where particle noise is an issue. VMD and PIC results in a 2D model of localized Langmuir waves are in qualitative agreement.

Authors:

Rose, Harvey A ^[1]; Daughton, William ^[2]

New Mexico Consortium, Los Alamos, New Mexico 87544 (United States)
Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

Publication Date:: Thu Dec 15 00:00:00 EST 2011

OSTI Identifier:: 22047118

Resource Type:: Journal Article

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 18; Journal Issue: 12; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BOLTZMANN-VLASOV EQUATION; COMPUTERIZED SIMULATION; DEBYE LENGTH; LASER RADIATION; MANY-DIMENSIONAL CALCULATIONS; PLASMA; PLASMA SIMULATION; PLASMA WAVES; RAMAN EFFECT

Citation Formats


                    Rose, Harvey A, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, and Daughton, William. Vlasov simulation in multiple spatial dimensions.  United States: N. p., 2011. 
        Web.  doi:10.1063/1.3662112.

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                    Rose, Harvey A, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, & Daughton, William. Vlasov simulation in multiple spatial dimensions.  United States.  https://doi.org/10.1063/1.3662112

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                    Rose, Harvey A, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, and Daughton, William. 2011.  
        "Vlasov simulation in multiple spatial dimensions".  United States.  https://doi.org/10.1063/1.3662112.

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@article{osti_22047118,

  title        = {Vlasov simulation in multiple spatial dimensions},

  author       = {Rose, Harvey A and Los Alamos National Laboratory, Los Alamos, New Mexico 87545 and Daughton, William},

  abstractNote = {A long-standing challenge encountered in modeling plasma dynamics is achieving practical Vlasov equation simulation in multiple spatial dimensions over large length and time scales. While direct multi-dimension Vlasov simulation methods using adaptive mesh methods [M. Gutnic et al., Comput. Phys. Commun. 164, 214 (2004)] have recently shown promising results in two dimensions (2D) [J. W. Banks et al., Phys. Plasmas 18, 052102 (2011); B. I. Cohen et al., November 10, 2010, http://meetings.aps.org/link/BAPS.2010.DPP.NP9.142], in this paper, we present an alternative, the Vlasov multi dimensional (VMD) model, that is specifically designed to take advantage of solution properties in regimes when plasma waves are confined to a narrow cone, as may be the case for stimulated Raman scatter in large optic f laser beams. Perpendicular grid spacing large compared to a Debye length is then possible without instability or loss of accuracy, enabling an order 10 decrease in required computational resources compared to standard particle in cell (PIC) methods in 2D, with another reduction of that order in 3D. Further advantage compared to PIC methods accrues in regimes where particle noise is an issue. VMD and PIC results in a 2D model of localized Langmuir waves are in qualitative agreement.},

  doi          = {10.1063/1.3662112},

  url          = {https://www.osti.gov/biblio/22047118},
  journal      = {Physics of Plasmas},

  issn         = {1070-664X},

  number       = 12,

  volume       = 18,

  place        = {United States},

  year         = {Thu Dec 15 00:00:00 EST 2011},

  month        = {Thu Dec 15 00:00:00 EST 2011}

}

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