Solution method of the Poisson equation for the electric field with a thin sheath. (English) Zbl 1196.76107
Summary: In the simulation of materials processing plasmas, one has to solve the Poisson equation for electric field at each electron timestep. This is a bottleneck for the numerical simulation of processing plasmas. In this paper, a drastically efficient method for solving the Poisson equation is proposed. In obtaining the solution, the variational principle is used together with the boundary-layer theory in fluid mechanics.
MSC:
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
References:
| [1] | Birdsall, C. K.; Langdon, A. B., Plasma Physics via Computer Simulation (1985), McGraw-Hill: McGraw-Hill New York |
| [2] | Nanbu, K., IEEE Trans. Plasma Sci, 28, 971 (2000) |
| [3] | Hockney, R. W.; Eastwood, J. W., Computer Simulation Using Particles (1988), IOP Publishing: IOP Publishing Bristol · Zbl 0662.76002 |
| [4] | Schlichting, H., Boundary-Layer Theory (1979), McGraw-Hill · Zbl 0434.76027 |
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