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Title: Fluid moments of the nonlinear Landau collision operator

Abstract

An important problem in plasma physics is the lack of an accurate and complete description of Coulomb collisions in associated fluid models. To shed light on the problem, this Letter introduces an integral identity involving the multivariate Hermite tensor polynomials and presents a method for computing exact expressions for the fluid moments of the nonlinear Landau collision operator. The proposed methodology provides a systematic and rigorous means of extending the validity of fluid models that have an underlying inverse-square force particle dynamics to arbitrary collisionality and flow.

Authors:
;  [1]; ;  [1];  [2];  [3];  [2];  [4]
  1. Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543 (United States)
  2. (United States)
  3. Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544 (United States)
  4. General Atomics, San Diego, California 92186 (United States)
Publication Date:
OSTI Identifier:
22599932
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COLLISIONS; COULOMB FIELD; FLUIDS; INTEGRALS; LANDAU DAMPING; MULTIVARIATE ANALYSIS; NONLINEAR PROBLEMS; PARTICLES; PLASMA; POLYNOMIALS; TENSORS

Citation Formats

Hirvijoki, E., Pfefferlé, D., Lingam, M., Bhattacharjee, A., Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544, Comisso, L., Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, and Candy, J.. Fluid moments of the nonlinear Landau collision operator. United States: N. p., 2016. Web. doi:10.1063/1.4960669.
Hirvijoki, E., Pfefferlé, D., Lingam, M., Bhattacharjee, A., Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544, Comisso, L., Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, & Candy, J.. Fluid moments of the nonlinear Landau collision operator. United States. doi:10.1063/1.4960669.
Hirvijoki, E., Pfefferlé, D., Lingam, M., Bhattacharjee, A., Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544, Comisso, L., Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543, and Candy, J.. 2016. "Fluid moments of the nonlinear Landau collision operator". United States. doi:10.1063/1.4960669.
@article{osti_22599932,
title = {Fluid moments of the nonlinear Landau collision operator},
author = {Hirvijoki, E. and Pfefferlé, D. and Lingam, M. and Bhattacharjee, A. and Department of Astrophysical Sciences, Princeton University, Princeton, New Jersey 08544 and Comisso, L. and Princeton Plasma Physics Laboratory, Princeton, New Jersey 08543 and Candy, J.},
abstractNote = {An important problem in plasma physics is the lack of an accurate and complete description of Coulomb collisions in associated fluid models. To shed light on the problem, this Letter introduces an integral identity involving the multivariate Hermite tensor polynomials and presents a method for computing exact expressions for the fluid moments of the nonlinear Landau collision operator. The proposed methodology provides a systematic and rigorous means of extending the validity of fluid models that have an underlying inverse-square force particle dynamics to arbitrary collisionality and flow.},
doi = {10.1063/1.4960669},
journal = {Physics of Plasmas},
number = 8,
volume = 23,
place = {United States},
year = 2016,
month = 8
}
  • Cited by 2
  • An important problem in plasma physics is the lack of an accurate and complete description of Coulomb collisions in associated fluid models. To shed light on the problem, this Letter introduces an integral identity involving the multivariate Hermite tensor polynomials and presents a method for computing exact expressions for the fluid moments of the nonlinear Landau collision operator. In conclusion, the proposed methodology provides a systematic and rigorous means of extending the validity of fluid models that have an underlying inverse-square force particle dynamics to arbitrary collisionality and flow.
  • Fusion edge plasmas can be far from thermal equilibrium and require the use of a non-linear collision operator for accurate numerical simulations. The non-linear single-species Fokker–Planck–Landau collision operator developed by Yoon and Chang (2014) [9] is generalized to include multiple particle species. Moreover, the finite volume discretization used in this work naturally yields exact conservation of mass, momentum, and energy. The implementation of this new non-linear Fokker–Planck–Landau operator in the gyrokinetic particle-in-cell codes XGC1 and XGCa is described and results of a verification study are discussed. Finally, the numerical techniques that make our non-linear collision operator viable on high-performance computingmore » systems are described, including specialized load balancing algorithms and nested OpenMP parallelization. As a result, the collision operator's good weak and strong scaling behavior are shown.« less
  • Fusion edge plasmas can be far from thermal equilibrium and require the use of a non-linear collision operator for accurate numerical simulations. Here, the non- linear single-species Fokker Planck Landau collision operator developed by Yoon and Chang (2014) [9] is generalized to include multiple particle species. Moreover, the finite volume discretization used in this work naturally yields exact conservation of mass, momentum, and energy. We described the implementation of this new non-linear Fokker Planck Landau operator in the gyrokinetic particle-in-cell codes XGC1 and XGCa and the results of a verification study are discussed. Finally, the numerical techniques that make ourmore » non-linear collision operator viable on high-performance computing systems are described, including specialized load balancing algorithms and nested OpenMP parallelization. The collision operator s good weak and strong scaling behavior are shown.« less
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