Cited by 9Plasma Diagnostics and ApplicationsVacuum and Plasma ArcsMagnetic confinement fusion research

Macroscopic plasma analysis from 1D-radial kinetic results of a Hall thruster discharge

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Marín-Cebrián, Alberto, Domínguez-Vázquez, Adrián, Fajardo, Pablo, Ahedo, Eduardo·2021·Plasma Sources Science and Technology

Abstract

A radial particle-in-cell model of the weakly-collisional plasma discharge in a Hall thruster, provides the non-Maxwellian velocity distribution functions (VDF) of ions and electrons. The model considers a radial magnetic field, secondary electron emission from the two walls, and phenomenological models of anomalous electron scattering. The electron VDF is used to assess the different terms in the macroscopic momentum and energy equations, identifying those differing from the standard fluid model for a near-Maxwellian VDF. The pressure tensor consists of an anisotropic gyrotropic part and a small gyroviscous part. Nonetheless, the gradient of this last one affects the cross-field electron current density, generating radial undulations that resemble those reported for near-wall conductivity. A gyroviscous energy flux is identified too. The heat flux parallel to the magnetic lines does not follow a conductive-type law but a convective-type one, already found in other weakly-collisional plasmas. The tails of the electron velocity distribution function are partially depleted due to wall collection, leading to reduced electron fluxes of particles and energy, which are characterized with parameters useful for fluid models. Differences in the plasma response for annular and planar channel geometries are highlighted. The levels of replenishment of the electron VDF and of the asymmetries in radial profiles differ for isotropic and anisotropic anomalous scattering models.

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  • Hybrid models feature a kinetic treatment of the ion species (and in some cases of the neutrals as well) so that CEX collisions are correctly captured, and a fluid modeling of the fastest species, the electrons.

    “In fact, they feature a kinetic treatment of the ion species (and in some cases of the neutrals as well) so that CEX collisions are correctly captured, and a fluid modeling of the fastest species, the electrons, which are subject to conservation equations.”

    From Plasma propulsion modeling with particle-based algorithms (2023) · cites this paper as [226]

    The Introduction describes hybrid Hall-thruster codes as using particle-in-cell treatment for ions and neutrals and macroscopic treatment for electrons. It does not say that this treatment correctly captures charge-exchange (CEX) collisions; the collisional-process list in §2 also does not mention CEX. The paper’s own 1D model, described separately in §2, treats electrons kinetically rather than as a fluid. (LLM, conf=0.86)

    Experimental — accuracy not yet measured
  • Hybrid models represent the best compromise in terms of accuracy and computational cost for modeling plasma thruster plume expansion and its interaction with the spacecraft.

    “Hybrid models 225-234 have therefore emerged in this context, as they represent the best compromise in terms of accuracy and computational cost for modeling the plasma thruster plume expansion and its interaction with the spacecraft.”

    From Plasma propulsion modeling with particle-based algorithms (2023) · cites this paper as [226]

    The Introduction says hybrid codes are very suitable for Hall-thruster discharge research because they reduce computational effort by 2–3 orders of magnitude relative to full PIC while accurately characterizing heavy species. It does not establish that they are the best compromise for plume expansion or spacecraft interaction; its discussion concerns the thruster discharge, not the plume. (LLM, conf=0.88)

    Experimental — accuracy not yet measured

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Research works printed but not linked: 48

  1. Bittencourt J 2004 Fundamentals of Plasma Physics (Berlin: Springer)
  2. Koo J W and Boyd I D 2004 Comput. Phys. Commun. 164 442-7 · DOI
  3. Hagelaar G, Bareilles J, Garrigues L and Boeuf J-P 2004 Con- trib. Plasma Phys. 44 529-35 · DOI
  4. Parra F I, Ahedo E, Fife J M and Martínez-Sánchez M 2006 J. Appl. Phys. 100 023304 · DOI
  5. Garrigues L, Santhosh S, Grimaud L and Mazouffre S 2019 Plasma Sources Sci. Technol. 28 034003 · DOI
  6. Cichocki F, Domínguez-Vázquez A, Merino M and Ahedo E 2017 Plasma Sources Sci. Technol. 26 125008 · DOI · Paper page
  7. Domínguez-Vázquez A 2019 Axisymmetric simulation codes for Hall effect thrusters and plasma plumes PhD Thesis Universidad Carlos III de Madrid, Leganés
  8. Ramos J J 2007 Phys. Plasmas 14 052506 · DOI
  9. Ramos J 2005 Phys. Plasmas 12 052102 · DOI
  10. Ramos J 2005 Phys. Plasmas 12 112301 · DOI
  11. Malone R C, McCrory R L and Morse R L 1975 Phys. Rev. Lett. 34 721-4 · DOI
  12. Bell A 1985 Phys. Fluids 28 2007-14 · DOI
  13. Stangeby P C, Canik J M and Whyte D G 2010 Nucl. Fusion 50 125003 · DOI
  14. Zhou J, Sánchez-Arriaga G and Ahedo E 2021 Plasma Sources Sci. Technol. 30 045009 · DOI
  15. Ahedo E, Correyero S, Navarro J and Merino M 2020 Plasma Sources Sci. Technol. 29 045017 · DOI
  16. Ahedo E and Parra F 2005 Phys. Plasmas 12 073503 · DOI
  17. Ahedo E and De Pablo V 2007 Phys. Plasmas 14 083501 · DOI
  18. Sydorenko D, Smolyakov A, Kaganovich I and Raitses Y 2006 IEEE Trans. Plasma Sci. 34 815-24 · DOI
  19. Domínguez-Vázquez A, Taccogna F and Ahedo E 2018 Plasma Sources Sci. Technol. 27 064006 · DOI · Paper page
  20. Domínguez-Vázquez A, Taccogna F, Fajardo P and Ahedo E 2019 J. Phys. D: Appl. Phys. 52 474003 · DOI · Paper page
  21. Taccogna F, Longo S, Capitelli M and Schneider R 2007 Con- trib. Plasma Phys. 47 635-56 · DOI
  22. Taccogna F, Schneider R, Longo S and Capitelli M 2008 Plasma Sources Sci. Technol. 17 024003 · DOI
  23. Szabo J 2001 Fully kinetic numerical modeling of a plasma thruster PhD Thesis Massachusetts Institute of Technology
  24. Szabo J, Warner N, Marínez-Sánchez M and Batishchev O 2014 J. Propul. Power 30 197-208 · DOI · Paper page
  25. Cho S, Watanabe H, Kubota K, Iihara S, Fuchigami K, Uematsu K and Funaki I 2015 Phys. Plasmas 22 103523 · DOI
  26. Dong M, Demai Z, Lei W, Yongjie D, Liqiu W, Hong L and Daren Y 2020 Vacuum 180 109547 · DOI
  27. Smirnov A, Raitses Y and Fisch N J 2004 Phys. Plasmas 11 4922-33 · DOI
  28. Sydorenko D, Smolyakov A, Kaganovich I and Raitses Y 2006 Phys. Plasmas 13 014501 · DOI
  29. Vedenov A 1963 Sov. At. Energy 13 591-612 · DOI
  30. Ahedo E, Gallardo J and Martínez-Sánchez M 2003 Phys. Plasmas 10 3397-409 · DOI
  31. Press W H, Teukolsky S A, Vetterling W T and Flannery B P 2001 Numerical Recipes in Fortran 77: The Art of Scientific Computing (Cambridge: Cambridge University Press) http:// numerical.recipes/
  32. Verboncoeur J P 2001 J. Comput. Phys. 174 421-7 · DOI
  33. Furman M A and Pivi M T F 2002 Phys. Rev. Spec. Top. Accel. Beams 5 124404 · DOI
  34. Wang H, Campanell M D, Kaganovich I D and Cai G 2014 J. Phys. D: Appl. Phys. 47 405204 · DOI
  35. Nanbu K 1994 Japan. J. Appl. Phys. 33 4752-3 · DOI
  36. Surendra M, Graves D B and Morey I J 1990 Appl. Phys. Lett. 56 1022-4 · DOI
  37. Nanbu K 1997 Phys. Rev. E 55 4642-52 · DOI
  38. Nanbu K and Yonemura S 1998 J. Comput. Phys. 145 639-54 · DOI
  39. Bobylev A V and Nanbu K 2000 Phys. Rev. E 61 4576-86 · DOI
  40. Wang C, Lin T, Caflisch R, Cohen B I and Dimits A M 2008 J. Comput. Phys. 227 4308-29 · DOI
  41. Ahedo E 2002 Phys. Plasmas 9 4340-7 · DOI
  42. Morozov A and Savel'Ev V 2001 Plasma Phys. Rep. 27 570-5 · DOI
  43. Escobar D and Ahedo E 2008 IEEE Trans. Plasma Sci. 36 2043-57 · DOI
  44. Ahedo E, Santos R and Parra F 2010 Phys. Plasmas 17 073507 · DOI
  45. Pérez-Grande D 2018 Fluid modeling and simulation of the electron population in Hall effect thrusters with complex magnetic topologies PhD Thesis Universidad Carlos III de Madrid, Leganés
  46. Ahedo E, Gallardo J and Martínez-Sánchez M 2002 Phys. Plasmas 9 4061-70 · DOI
  47. Villafana W et al 2021 Plasma Sources Sci. Technol. 30 075002 · DOI · Paper page
  48. Charoy T et al 2019 Plasma Sources Sci. Technol. 28 105010 · DOI · Paper page

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Authors
Marín-Cebrián, A., Domínguez-Vázquez, A., Fajardo, P., & Ahedo, E.
Affiliations
Universidad Carlos III de Madrid (ES)
Corresponding author
Marín-Cebrián, Alberto
Venue
Plasma Sources Science and Technology
Published
2021-11-01
Volume
30
Issue
11
Pages
115011
ISSN
  • 0963-0252 (ISSN-L)
  • 1361-6595
OpenAlex
W3217276257
Cited by
9
References
4
Citations by year
2025: 2 · 2024: 1 · 2023: 3 · 2022: 3
FWCI
0.51
Type
journal article
Language
en
Open access
Locations
  • Plasma Sources Science and Technology (publishedVersion)
  • e-Archivo (Carlos III University of Madrid) (submittedVersion, cc-by-nc-nd)
Funders
  • Spain’s National Research and Development Plan (PID2019-108034RBI00/AEI/10.13039/501100011033)
  • PROMETEO-CM project, Comunidad de Madrid/FEDER/FSE (Y2018/NMT-4750)
Topics
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Plasma Diagnostics and Applications
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Vacuum and Plasma Arcs
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Magnetic confinement fusion research
Keywords
Hall thruster, weakly collisional plasma, secondary electron emission, electron heat flux, momentum and energy equations

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