کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
519361 867659 2013 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic Preserving schemes for highly oscillatory Vlasov–Poisson equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Asymptotic Preserving schemes for highly oscillatory Vlasov–Poisson equations
چکیده انگلیسی

This work is devoted to the numerical simulation of a Vlasov–Poisson model describing a charged particle beam under the action of a rapidly oscillating external field. We construct an Asymptotic Preserving numerical scheme for this kinetic equation in the highly oscillatory limit. This scheme enables to simulate the problem without using any time step refinement technique. Moreover, since our numerical method is not based on the derivation of the simulation of asymptotic models, it works in the regime where the solution does not oscillate rapidly, and in the highly oscillatory regime as well. Our method is based on a “two scale” reformulation of the initial equation, with the introduction of an additional periodic variable.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 248, 1 September 2013, Pages 287–308
نویسندگان
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