Abstract
Hybrid codes in which part of the plasma is represented as particles and the rest as a fluid are discussed. In the past few years such codes with particle ions and massless, fluid electrons have been applied to space plasmas, especially to collisionless shocks. All of these simulation codes are one-dimensional and similar in structure, except for how the field equations are solved. We describe in detail the various approaches that are used (resistive Ohm's law, predictor-corrector, Hamiltonian) and compare results from the various codes with examples taken from collisionless shocks and low frequency wave phenomena upstream of shocks.
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Ambrosiano, J.J., L.C. Lee, and D.W. Swift, ‘Simulation of the ion tearing instability in the presence of a background plasma’, J. Geophys. Res., 88, 7860, 1983.
Byers, J.A., B.I. Cohen, W.C. Condit, and J.D. Hanson, ‘Hybrid simulations of quasineutral phenomena in magnetized plasma’, J. Comp. Phys., 27, 363, 1978.
Chodura, R., ‘A hybrid particle-fluid model of ion heating in high Mach number shock waves’, Nucl. Fusion, 15, 55, 1975.
Dickman, D.O., R.L. Morse, and C.W. Nielson, ‘Numerical simulation of axisymmetric collislonless finite-beta plasma’, Phys. Fluids, 12, 1708, 1969.
Forslund, D.W., ‘Plasma simulation techniques and their use’, Los Alamos Scientific Laboratory Report, LA-UR 74–1333, 1974.
Forslund, D.W., E.L. Lindman, R.W. Mitchell, and R.L. Morse, ‘EMI a general purpose one-dimensional electromagnetic particle simulation code’, Los Alamos Scientific Laboratory Report, LA-DC 72-721, 1972.
Forslund, D.W., K.B. Quest, J.U. Brackbill, and K. Lee, ‘Collisionless dissipation in quasiperpendicular shocks’, J. Geophys. Res., 89, 2142, 1984.
Friedman, A., R.L. Ferch, R.N. Sudan, and A.T. Drobot, ‘Numerical simulation of strong proton rings’, Plasma Phys., 19, 1101, 1977.
Gary, S.P., J.T. Gosling, and D.W. Forslund, ‘The electromagnetic ion beam instability upstream of the earth's bow shock’, J. Geophys. Res., 86, 6691, 1981.
Hada, T., and C.F. Kennel, ‘Nonlinear evolution of slow waves in the solar wind’, J.Geophys. Res., 90, in press, 1985.
Hamasaki, S., N.A. Krall, C.E. Wagner, and R.N. Byrne, ‘Effect of turbulence on theta pinch modeling by hybrid numerical models’, Phys. Fluids, 20, 65, 1977.
Harned, D.S., ‘Quasineutral hybrid simulation of macroscopic plasma phenomena’, J. Comp. Phys., 47, 452, 1982.
Harned, D.S., ‘Rotational instabilities in the field reversed configuration: results of hybrid simulations’, Phys. Fluids, 26, 1320, 1983.
Hewett, D.W., ‘A Global method for solving the electron-field equations in a zero-inertia-electron hybrid plasma simulation code’, J. Comp. Phys., 38, 378, 1980.
Hewett, D.W., ‘Spontaneous development of toroidal magnetic field during formation of field reversed theta pinch’, Nucl. Fusion, 24, 349, 1984.
Hewett, D.W., and C.W. Nielson, ‘A multidimensional quasineutral plasma simulation model’, J. Comp. Phys., 29, 219, 1978.
Kan, J.R., and D.W. Swift, ‘Structure of the quasiparallel bow shock: results of numerical simulations’, J. Geophys. Res., 88, 6919, 1983.
Lee, J.K., and C.K. Birdsall, ‘Velocity space ring plasma instability, magnetized, part II: simulations’, Phys. Fluids, 22, 1315, 1979.
Leroy, M.M., C.C. Goodrich, D. Winske, C.S. Wu, and K. Papadopoulos, ‘Simulation of a perpendicular bow shock’, Geophys. Res. Lett., 8, 1269, 1981.
Leroy, M.M., D. Winske, C.C. Goodrich, C.S. Wu, and K. Papadopoulos, ‘The structure of perpendicular bow shocks’, J. Geophys. Res., 87, 5081, 1982.
Leroy, M.M., and D. Winske, ‘Backstreaming ions from oblique earth bow shocks’, Ann. Geophysicae, 1, 527, 1983.
Mandt, M.E., and J.R. Kan, ‘Effects of electron pressure in quasiparallel collisionless shocks’, J. Geophys. Res., 90, in press, 1985.
Mankofsky, A., A. Friedman, and R.N. Sudan, ‘Numerical simulation of injection and resistive trapping of ion rings’, Plasma Phys., 23, 521, 1981.
Mankofsky, A., and R.N. Sudan, ‘Numerical simulation of ion beam propagation in Z pinch plasma channels’, Nucl. Fusion, 24, 827, 1984.
Morse, R.L., and C.W. Nielson, ‘Numerical simulation of the Weibel instability in one and two dimensions’, Phys. Fluids, 14, 830, 1971.
Nielson, C.W., and H.R. Lewis, ‘Particle code models in the nonradiative limit’, in Methods of Computational Physics, Vol. 16, edited by J. Killeen, B. Alder, S. Fernbach, and M. Rotenberg, p. 367, Academic Press, New York, 1976.
Okuda, H., J.M. Dawson, A.T. Lin, and C.C. Lin, ‘Quasineutral particle simulation model with application to ion wave propagation’, Phys. Fluids, 21, 476, 1978.
Omura, Y., M. Ashour-Abdalla, K. Quest, and R. Gendrin, ‘Heating of thermal helium in the equatorial magnetosphere: a simulation study’, J. Geophys. Res., 90, in press, 1985.
O'Neil, T.M., J.H. Winfrey, and J.H. Malmberg, ‘Nonlinear interaction of a small cold beam and a plasma’, Phys Fluids, 14, 1204, 1971.
Quest, K.B., ‘Simulations of high Mach number collsionless shocks’, Phys. Rev. Lett., submitted, 1985.
Sgro, A.G., and C.W. Nielson, ‘Hybrid model studies of ion dynamics and magnetic field diffusion during pinch implosions’, Phys. Fluids, 19, 126, 1976.
Swift, D.W., ‘A two-dimensional simulation of the interaction of the plasma sheet with the lobes of the earth's magnetotail’, J.Geophys. Res., 88, 125, 1983a.
Swift, D.W., ‘On the structure of the magnetic slow switch-off shock’, J.Geophys. Res., 88, 5685, 1983b.
Swift, D.W., and L.C. Lee, ‘Rotational discontinuities and the structure of the magnetopause’, J.Geophys. Res., 88, 111, 1983.
Tanaka, M., and C.C. Goodrich, ‘Simulation study of heavy ion heating by electromagnetic ion cyclotion waves induced by proton temperature anisotropy’, J. Geophys. Res., 90, in press, 1985.
Teresawa, T., ‘Numerical study of explosive tearing mode instability in one component plasmas’, J. Geophys. Res., 86, 9007, 1981.
Winske, D., and M.M. Leroy, ‘Diffuse ions produced by electromagnetic ion beam instabilities’, J. Geophys. Res., 89, 2673, 1984a.
Winske, D., and M.M. Leroy, ‘Hybrid simulation techniques applied to the earth's bow shock’, in Computer Simulations of Space Plasmas, edited by H. Matsumoto and T. Sato, D. Reidel/Terra, Hingham, Mass., 1984b.
Winske, D., C.S. Wu, Y.Y. Li, and G.C. Zhou, ‘Collective capture of released lithium ions in the solar wind’, J. Geophys. Res., 89, 7327, 1984.
Winske, D., C.S. Wu, Y.Y. Li, Z.Z. Mou, and S.Y. Guo, ‘Coupling of newborn ions to the solar wind by electromagnetic instabilities and their interaction with the bow shock’, J. Geophys. Res., 90, in press, 1985.
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Winske, D. Hybrid simulation codes with application to shocks and upstream waves. Space Sci Rev 42, 53–66 (1985). https://doi.org/10.1007/BF00218223
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DOI: https://doi.org/10.1007/BF00218223