Summary
In this paper, we apply the boundary element method (BEM) to analyze problems in plasma physics and nuclear fusion engineering. First we solve the nonlinear Poisson equation by using the simple iterative scheme in order to study the plasma sheath model in the boundary plasma. Next, in order to determine the plasma-confinement time in the cylindrical plasma, we analyze the time-dependent diffusion equation of plasma by using separation of variables. Thirdly, we solve the nonlinear Grad-Shafranov equation in order to obtain the magnetohydrodynamic equilibria of both toroidal nuclear fusion machines and compact torus plasmas with the fixed boundary. Furthermore, in order to study the magnetic field reconnection, we solve the convective diffusion equation with constant flow velocity in space and have transient numerical solutions for large Courant and diffusion number. Finally, as one of the fundamental plasma waves, we study plasma surface waves in the cylindrical cold plasma with noncircular cross sections under the quasi-electrostatic approximation.
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© 1988 Springer-Verlag Berlin Heidelberg
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Honma, T. (1988). Boundary Element Methods in Plasma Science and Engineering. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_24
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DOI: https://doi.org/10.1007/978-3-642-61381-4_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64818-2
Online ISBN: 978-3-642-61381-4
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