کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1900925 | 1045524 | 2010 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An interpretation of absolutely and convectively unstable waves using series solutions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
علوم زمین و سیارات
زمین شناسی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: An interpretation of absolutely and convectively unstable waves using series solutions An interpretation of absolutely and convectively unstable waves using series solutions](/preview/png/1900925.png)
چکیده انگلیسی
Integral solutions are found for linear wave equations, which, depending on the parameters, exhibit either absolute or convective instability. Series solutions are constructed to examine the instability behavior on a bounded domain. Solutions with non-real wave-numbers can be interpreted as a superposition of eigenmodes with jump-periodic boundary conditions. We show that an initial disturbance can be represented by not only periodic modes, but also spatially growing (or decaying) modes, and arbitrary modes using a Galerkin approach. For the examples presented here, growth in any such series solution matches the growth predictions obtained from the long-time asymptotic behavior of the integral solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Wave Motion - Volume 47, Issue 8, December 2010, Pages 564-582
Journal: Wave Motion - Volume 47, Issue 8, December 2010, Pages 564-582
نویسندگان
Nathaniel S. Barlow, Brian T. Helenbrook, S.P. Lin, Steven J. Weinstein,