Numerical stability of a plasma sheath
Copyright policy )Numerical stability of a plasma sheath
We are interested in developing a numerical method for capturing stationary sheaths, that a plasma forms in contact with a metallic wall. This work is based on a bi-species (ion/electron) Vlasov-Ampère model proposed in [3]. The main question addressed in this work is to know how accurately classical time-dependent Vlasov-Ampère numerical schemes preserve in long time these non-homogeneous stationary solutions with emission/absorption boundary conditions. In the context of high-order semi-Lagrangian methods, due to their large stencil, interpolation near the boundary of the domain requires also a specific treatment.
T57-57.97, Numerical Analysis, Applied mathematics. Quantitative methods, 500, FOS: Physical sciences, Statistical mechanics of plasmas, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Computational Physics (physics.comp-ph), 510, Computational Physics, QA1-939, FOS: Mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Mathematics
T57-57.97, Numerical Analysis, Applied mathematics. Quantitative methods, 500, FOS: Physical sciences, Statistical mechanics of plasmas, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Computational Physics (physics.comp-ph), 510, Computational Physics, QA1-939, FOS: Mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Mathematics
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