Numerical solution of nonstationary charge coupled problems

作者: A.M. Meroth , T. Gerber , C.D. Munz , P.L. Levin , A.J. Schwab

DOI: 10.1016/S0304-3886(98)00046-1

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摘要: Abstract This paper presents calculations in charge coupled systems. The method is based upon a finite element approach for solving the Poisson equation and nonstationary higher-order upstream volume scheme on unstructured grids transport equation. In contrast to conventional approaches that constrain source distributions piece-wise constants, approximation obtained by reconstructing gradient of distribution volumes. Anisotropy, nonlinearities, recombination can easily be introduced because conservation stated integral form. Interaction with surrounding neutral gas phenomena charged particles are considered separate turbulent flow models described elsewhere (Meroth et al., Int. Symp. Filtration Separation Fine Dust, April 1996).

参考文章(13)
Claus-Dieter Munz, On the numerical dissipation of high resolution schemes for hyperbolic conservation laws Journal of Computational Physics. ,vol. 77, pp. 18- 39 ,(1988) , 10.1016/0021-9991(88)90154-4
C. D. Munz, On Godunov-type schemes for Lagrangian gas dynamics SIAM Journal on Numerical Analysis. ,vol. 31, pp. 17- 42 ,(1994) , 10.1137/0731002
Rüdiger Weiss, Ansgar Meroth, Peter Levin, Iterative solution of boundary element approximations for electric and magnetic fields International Journal of Numerical Modelling-electronic Networks Devices and Fields. ,vol. 7, pp. 357- 370 ,(1994) , 10.1002/JNM.1660070506
A.J. Medlin, C.A.J. Fletcher, R. Morrow, A pseudotransient approach to steady state solution of electric field-space charge coupled problems Journal of Electrostatics. ,vol. 43, pp. 39- 60 ,(1998) , 10.1016/S0304-3886(97)00167-8
TIMOTHY BARTH, DENNIS JESPERSEN, The design and application of upwind schemes on unstructured meshes 27th Aerospace Sciences Meeting. ,(1989) , 10.2514/6.1989-366
R. Courant, K. Friedrichs, H. Lewy, �ber die partiellen Differenzengleichungen der mathematischen Physik Mathematische Annalen. ,vol. 100, pp. 32- 74 ,(1928) , 10.1007/BF01448839
Gildas Hartmann, Theoretical Evaluation of Peek's Law IEEE Transactions on Industry Applications. ,vol. 20, pp. 1647- 1651 ,(1984) , 10.1109/TIA.1984.4504655
K. Adamiak, Adaptive approach to finite element modelling of corona fields ieee industry applications society annual meeting. ,vol. 30, pp. 387- 393 ,(1992) , 10.1109/28.287518