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Three-Dimensional Simulation of Rarefied Plasma Flows Using a High Order Particle in Cell Method

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Abstract

A three-dimensional Particle In Cell scheme for unstructured grids is presented. Since simulations of this kind require large computational resources, the solver was parallelized. The scalability of two parallel simulations is shown and an engineering application as well as two validation test cases for the scheme are presented.

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References

  1. C.K. Birdsall and A.B. Langdon. Plasma Physics via Computer Simulation. Adam Hilger, Bristol, Philadelphia, New York, 1991.

    Google Scholar 

  2. J.P. Boris. Relativistic plasma simulations—Optimization of a hybrid code. In Proc. 4th Conf. on Num. Sim. of Plasmas, pages 3–67, NRL Washington, Washington DC, 1970.

    Google Scholar 

  3. M. Fedoruk, C.-D. Munz, P. Omnes, and R. Schneider. A Maxwell-Lorentz solver for self-consistent particle-field simulations on unstructured grids. Forschungszentrum Karlsruhe—Technik und Umwelt, FZKA 6115, 1998.

    Google Scholar 

  4. M. Fertig, D. Petkow, T. Stindl, M. Quandt, C.-D. Munz, J. Neudorfer, S. Roller, D. D’Andrea, and R. Schneider. Hybrid code development for the numerical simulation of instationary magnetoplasmadynamic thrusters. High Performance Computing in Science and Engineering ’08, Springer, Berlin, Heidelberg, pp. 585–597, 2009.

    Chapter  Google Scholar 

  5. R.A. Fonseca, L.O. Silva, J.W. Tonge, W.B. Mori, and J.M. Dawson. Three-dimensional Weibel instability in astrophysical scenarios. Physics of Plasmas, 10(5):1979–1984, 2003.

    Article  MathSciNet  Google Scholar 

  6. D.A. Gurnett and A. Bhattacharjee. Introduction to Plasma Physics: With Space and Laboratory Applications. Cambridge University Press, Cambridge, January 2005.

    Google Scholar 

  7. G.B. Jacobs and J.S. Hesthaven. High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids. J. Comput. Phys., 214:96–121, 2006.

    Article  MATH  MathSciNet  Google Scholar 

  8. G.B. Jacobs, J.S. Hesthaven, and G. Lapenta. Simulations of the Weibel instability with a high-order discontinuous Galerkin Particle-In-Cell solver. 44th AIAA Aerospace Sciences Meeting and Exhibit, 2006.

    Google Scholar 

  9. Christopher A. Kennedy, Mark H. Carpenter, and R. Michael Lewis. Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations. Applied Numerical Mathematics, 35(3):177–219, November 2000.

    Article  MATH  MathSciNet  Google Scholar 

  10. C.-D. Munz, P. Omnes, and R. Schneider. A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes. Computer Physics Communications, 130:83–117, 2000.

    Article  MATH  Google Scholar 

  11. J. Neudorfer, C.-D. Munz, T. Stindl, M. Fertig, S. Roller, R. Schneider, and M. Auweter-Kurtz. Particle In Cell Simulation Using a Discontinuous Galerkin Method. IEPC-2009-237, Proceedings of the 31th International Electric Propulsion Conference, Ann Arbor, MI, USA, 2009.

    Google Scholar 

  12. Lewi Tonks and Irving Langmuir. Oscillations in ionized gases. Physical Review, 33(2):195, February 1929.

    Article  Google Scholar 

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Neudorfer, J. et al. (2011). Three-Dimensional Simulation of Rarefied Plasma Flows Using a High Order Particle in Cell Method. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering '10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15748-6_43

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