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Particle-In-Cell Electrostatic Numerical Algorithm


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[1] Davis, L., 1955, “Interplanetary Magnetic Fields and Cosmic Rays”, Physical Review, Volume 100, Issue 5, pp. 1440-1444.10.1103/PhysRev.100.1440 Search in Google Scholar

[2] Parker, E., 1963, “Interplanetary dynamical processes”, Interscience Publishers, New York, NY. Search in Google Scholar

[3] Axford, W. I., 1972, “The Interaction of the Solar Wind With the Interstellar Medium”, Solar Wind. Edited by Charles P. Sonett, Paul J. Coleman, and John M. Wilcox, Washington, Scientific and Technical Information Office, NASA, p.609. Search in Google Scholar

[4] Baranov, V. B., Malama, Yu. G., 1993, “Model of the solar wind interaction with the local interstellar medium – Numerical solution of self-consistent problem”, Journal of Geophysical Research, Volume 98, Issue A9, pp. 15157-15163.10.1029/93JA01171 Search in Google Scholar

[5] Pauls, H. L., Zank, G. P., Williams, L. L., 1995, “Interaction of the solar wind with the local interstellar medium”, Journal of Geophysical Research, Volume 100, Issue A11, pp. 21595-21604.10.1029/95JA02023 Search in Google Scholar

[6] Zank, G. P., Pauls, H. L., Williams, L. L., Hall, D. T., 1996, “Interaction of the solar wind with the local interstellar medium: A multifluid approach”, Journal of Geophysical Research, Volume 101, Issue A10, pp. 21639-21656.10.1029/96JA02127 Search in Google Scholar

[7] Washimi, H., Tanaka, 1996, “3-D Magnetic Field and Current System in the Heliosphere”, Space Science Reviews, Volume 78, Issue 1-2, pp. 85-94.10.1007/BF00170795 Search in Google Scholar

[8] Ratkiewicz, R., Barnes, A., Molvik, G. A., Spreiter, J. R., Stahara, S. S., Vinokur, M., Venkateswaran, S., 1998, “Effect of varying strength and orientation of local interstellar magnetic field on configuration of exterior heliosphere: 3D MHD simulations”, Astronomy and Astrophysics, Volume 335, pp. 363-369. Search in Google Scholar

[9] Pogorelov, N.V., Matsuda, T., 1998, “Influence of the interstellar magnetic field direction on the shape of the global heliopause”, Journal of Geophysical Research, Volume 10, pp. 237.10.1029/97JA02446 Search in Google Scholar

[10] Opher, M., Stone, E. C., Liewer, P. C., 2006, “The Effects of a Local Interstellar Magnetic Field on Voyager 1 and 2 Observations”, Astrophysical Journal, Volume 640, Issue 1, pp. L71-L74..10.1086/503251 Search in Google Scholar

[11] Heerikhuisen, J., Pogorelov, N.V., 2010 “Kinetic Modeling of Interstellar Hydrogen in the Heliosphere”, Numerical Modeling of Space Plasma Flows, Astronum-2009, Astronomical Society of the Pacific, San Francisco, pp. 227. Search in Google Scholar

[12] M. Strumik, A. Czechowski, S. Grzedzielski, W. M. Macek, and R. Ratkiewicz, 2013, “Small-Scale Local Phenomena Related to the Magnetic Reconnection and Turbulence in the Proximity of the Heliopause”, Astrophysical Journal Letters, Volume 773, L23 pp. 1-5.10.1088/2041-8205/773/2/L23 Search in Google Scholar

[13] Kunz, M. W., Schekochihihin, A. A., Chen, C. H. K., Abel, I., Cowley, S. C., 2015, “Inertialrange kinetic turbulence in pressure-anisotropic astrophysical plasmas”, J. Plasma Phys., Volume 81, Issue 5, pp. 1-61.10.1017/S0022377815000811 Search in Google Scholar

[14] Howes, G. G., Cowley, S. C., Dorland, W., Hammett, G. W., Quataert, E., Schekochihin, A. A., 2006, “Astrophysical Gyrokinetics: Basic Equations and Linear Theory”, The Astrophysical Journal, Volume 651, Issue 1, pp. 590-614.10.1086/506172 Search in Google Scholar

[15] Valentini, F., Trávníček, P., Califano, F., Hellinger, P., Mangeney, A., 2007, “A hybrid-Vlasov model based on the current advance method for the simulation of collisionless magnetized plasma”, Journal of Computational Physics, Vol. 225, Issue 1, pp. 753.10.1016/j.jcp.2007.01.001 Search in Google Scholar

[16] Ren, C., 2011, “Introduction to Particle-in-cell Methods in Plasma Simulations”, The 2011 HEDP Summer School, University of Rochester, from http://hedpschool.lle.rochester.edu/2011SummerSchool/lectures/Ren.pdf. Search in Google Scholar

[17] Birdsall, C. K. and Langdon A. B., 2005, “Plasma Physics via Computer Simulation”, Taylor & Francis Group, New York, NY. Search in Google Scholar

[18] Brieda, L., 2010, “The Electrostatic Particle In Cell (ES-PIC) Method”, from https://www.particleincell.com/2010/es-pic-method/. Search in Google Scholar

[19] Griffiths, D. J., 1999, “Introduction to Electrodynamics”, 3th Edition, Prentice Hall, Upper Saddle River, New Jersey, NJ. Search in Google Scholar

[20] Kahan, W., 1958, “Gauss-Seidel Methods of Solving Large Systems of Linear Equations”, Ph.D. thesis, University of Toronto. Search in Google Scholar

[21] Brieda, L., 2016, “Fundamentals of the Particle In Cell Method 2016”, lecture materials, Particle In Cell Consulting LLC, California, CA. Search in Google Scholar

[22] Deuflhard, P., 2004, “Newton Methods for Nonlinear Problems. Affine Invariance and Adaptive Algorithms”, Volume 35, Springer, Berlin. Search in Google Scholar

[23] Barrett, R., Berry, M., Chan, T. F., Demmel, J., Donato, J., Dongarra, J., Eijkhout, V., Pozo, R., Romine. C., van der Vorst, H., 1994, “Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods”, SIAM, Philadelphia.10.1137/1.9781611971538 Search in Google Scholar

[24] Blum, P.W., Fahr, H.J., 1970, “Interaction between Interstellar Hydrogen and the Solar Wind”, Astronomy & Astrophysics Volume 4, pp. 280-290. Search in Google Scholar

[25] Bird, G. A., 1994, “Molecular Gas Dynamics and the Direct Simulation of Gas Flows”, Clarendon Press, Oxford.10.1093/oso/9780198561958.001.0001 Search in Google Scholar

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