کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639365 1632044 2013 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spectral analysis of nonlinear finite difference discretizations
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Spectral analysis of nonlinear finite difference discretizations
چکیده انگلیسی

The objective of the present work is to provide a theoretical analysis of the spectral properties of a selection of nonlinear finite difference schemes. The Nonlinear Spectral Analysis (NSA) of Fauconnier and Dick (2011) [6] is applied in order to study the statistical behavior of the modified wavenumber of TVD schemes in combination with five common limiter functions and also the 5th-order WENO scheme, for a large set of synthetic scalar fields with prescribed energy spectrum and random phase. The theoretical observations are verified numerically for the linear propagation of a broadband wave.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 246, July 2013, Pages 113–121
نویسندگان
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