Simulation of Low-Frequency, Electromagnetic Phenomena in Plasmas

Publisher Summary This chapter discusses that the implicit formulation of the plasma dynamic equations has enlarged the scope of plasma simulation significantly. A phenomenon with VENUS is calculated on a time scale that is long compared with the electron plasma frequency, while retaining electron kinetic and inertia effects. As the examples illustrate, there is a lot of physics on longer time scales. It is difficult to compare the implicit moment method with the direct method, as they are not only at different stages of their development but also have developed differently. However, the heuristic approach adopted in developing the moment method and the more formal approach adopted in developing the direct method have both shown that many approximations can be made without sacrificing accuracy and stability. It is useful to compare fluid hybrid and full kinetic calculations with VENUS to understand the source of dissipation in the lower hybrid drift instability. An adaptively zoned particle simulation code is being developed, and new ways of solving the potential equations are explored.

[1]  J. Freidberg Ideal magnetohydrodynamic theory of magnetic fusion systems , 1982 .

[2]  D. W. Hewett,et al.  A global method of solving the electron-field equations in a zero-inertia-electron-hybrid plasma simulation code , 1980 .

[3]  A. Bruce Langdon Analysis of the time integration in plasma simulation , 1979 .

[4]  Robert L. McCrory,et al.  Indications of strongly flux-limited electron thermal conduction in laser- target experiments , 1975 .

[5]  T. T. Lee,et al.  Irreversibility and transport in the lower hybrid drift instability , 1980 .

[6]  J. M. Leblanc,et al.  Role of spontaneous magnetic fields in a laser-created deuterium plasma , 1973 .

[7]  Jeremiah Brackbill,et al.  Collisionless dissipation processes in quasi‐parallel shocks , 1983 .

[8]  R. J. Mason,et al.  Implicit moment PIC-hybrid simulation of collisional plasmas , 1983 .

[9]  G. Golub,et al.  Use of fast direct methods for the efficient numerical solution of nonseparable elliptic equations. , 1972 .

[10]  Charles C. Goodrich,et al.  Simulation of a perpendicular bow shock , 1981 .

[11]  Magnetohydrodynamics in laser fusion: Fluid modeling of energy transport in laser targets , 1983 .

[12]  Bruce I. Cohen,et al.  Direct implicit large time-step particle simulation of plasmas , 1983 .

[13]  J. Dawson Particle simulation of plasmas , 1983 .

[14]  Jeremiah Brackbill,et al.  An implicit method for electromagnetic plasma simulation in two dimensions , 1982 .

[15]  Jeremiah Brackbill,et al.  Magnetic-field--induced surface transport on laser-irradiated foils , 1982 .

[16]  G. Pert,et al.  Algorithms for the self-consistent generation of magnetic fields in plasmas , 1981 .

[17]  D. Forslund,et al.  Existence of rarefaction shocks in a laser‐plasma corona , 1978 .

[18]  J. Cary,et al.  Charged particle motion near a linear magnetic null , 1983 .

[19]  C. W. Nielson,et al.  Numerical Simulation of Axisymmetric, Collisionless, Finite‐β Plasma , 1969 .

[20]  D. Kershaw The incomplete Cholesky—conjugate gradient method for the iterative solution of systems of linear equations , 1978 .

[21]  J. Denavit,et al.  Time-filtering particle simulations with ωpe Δt ⪢ 1 , 1981 .

[22]  T. Northrop The guiding center approximation to charged particle motion , 1961 .

[23]  D. Biskamp,et al.  Numerical studies of magnetosonic collisionless shock waves , 1972 .

[24]  E. Lindman,et al.  DISPERSION RELATION FOR COMPUTER-SIMULATED PLASMAS. , 1970 .

[25]  John M. Dawson,et al.  A self-consistent magnetostatic particle code for numerical simulation of plasmas , 1977 .

[26]  Smoothing and spatial grid effects in implicit particle simulation , 1984 .

[27]  Jeremiah Brackbill,et al.  Collisionless dissipation in quasi‐perpendicular shocks , 1984 .

[28]  A. Bruce Langdon,et al.  EFFECTS OF THE SPATIAL GRID IN SIMULATION PLASMAS. , 1970 .

[29]  M. Rosenbluth,et al.  Electron heat transport in a tokamak with destroyed magnetic surfaces , 1978 .

[30]  R. D. Jones,et al.  Magnetic surface waves in plasmas , 1983 .

[31]  J. U. Brackbill,et al.  Experimental Evidence for Self-Generated Magnetic Fields and Remote Energy Deposition in Laser-Irradiated Targets , 1982 .

[32]  Bruce I. Cohen,et al.  Hybrid simulations of quasineutral phenomena in magnetized plasma , 1978 .

[33]  P. Auer,et al.  THERMALIZATION IN THE EARTH'S BOW SHOCK. , 1971 .

[34]  R. J. Mason,et al.  Implicit moment particle simulation of plasmas , 1981 .

[35]  Joe F. Thompson,et al.  Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies , 1974 .

[36]  J. Brackbill,et al.  Adaptive zoning for singular problems in two dimensions , 1982 .

[37]  C. W. Nielson,et al.  A multidimensional quasineutral plasma simulation model , 1978 .

[38]  D. Brandt,et al.  Multi-level adaptive solutions to boundary-value problems math comptr , 1977 .

[39]  J. N. Leboeuf,et al.  Implicit particle simulation of magnetized plasmas , 1983 .

[40]  J. Brackbill,et al.  Nonlinear evolution of the lower‐hybrid drift instability , 1984 .

[41]  Charles C. Goodrich,et al.  The structure of perpendicular bow shocks , 1982 .

[42]  Laser target model , 1975 .

[43]  C. W. Nielson,et al.  Numerical Simulation of Warm Two‐Beam Plasma , 1969 .