Streamlined Darwin simulation of nonneutral plasmas. (English) Zbl 0611.76133

Efficient, new algorithms that require less formal manipulation than previous implementations have been formulated for the numerical solution of the Darwin model.
These new procedures reduce the effort required to achieve some of the advantages that the Darwin model offers. Because the Courant-Friedrichs- Lewy stability limit for radiation modes is eliminated, the Darwin model has the advantage of a substantially larger time-step. Further, without radiation modes, simulation results are less sensitive to enhanced particle fluctuation noise. We discuss methods for calculating the magnetic field that avoid formal vector decomposition and offer a new procedure for finding the inductive electric field. This procedure avoids vector decomposition of plasma source terms and circumvents some source gradient issues that slow convergence. As a consequence, the numerical effort required for each of the field time-steps is reduced, and more importantly, the need to specify several nonintuitive boundary conditions is eliminated.


76X05 Ionized gas flow in electromagnetic fields; plasmic flow
76M99 Basic methods in fluid mechanics
Full Text: DOI


[1] Kaufman, A.N.; Rostler, P.S., Phys. fluids, 14, 446, (1971)
[2] Nielson, C.W.; Lewis, H.R., (), 367-388
[3] Busnardo-Neto, J.; Pritchett, P.L.; Lin, A.T.; Dawson, J.M., J. comput. phys., 23, 300, (1977)
[4] Hewett, D.W.; Nielson, C.W., J. comput. phys., 29, 219, (1978)
[5] Hewett, D.W., Space sci. rev., 42, 29, (1985)
[6] Richtmeyer, R.D.; Morton, K.W., Difference methods for initial-value problems, (1976), Interscience New York
[7] Boyd, J.K.; Hewett, D.W., Bull. amer. phys. soc., 29, No. 8, 1436, (1984)
[8] Morse, P.M.; Feshbach, H., Methods of theoretical physics, (), 53
[9] Morse, P.M.; Feshbach, H., Methods of theoretical physics, (1953), McGraw-Hill New York, Chap. 13 · Zbl 0051.40603
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.