کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5011637 | 1462600 | 2017 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Thermalized solution of the Galerkin-truncated Burgers equation: From the birth of local structures to thermalization
ترجمه فارسی عنوان
راه حل حرارتی معادله بررر کوتاه مدت گالرکین: از زمان تولد ساختارهای محلی تا گرمازایی
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کلمات کلیدی
حرارتی قطع شدن، معادله برگر معکوس،
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
Discrepancy between truncated and exact solutions of the inviscid Burgers equation is studied by the pseudo-spectral method with setting all the Fourier modes with the wavenmubers beyond a truncated wavenumber KG to be zero. A localized short-wavelength oscillation, called as a “tyger”, appears at occurrence of the shock in the truncated solution. The “tyger” shows very different shapes depending on the way of truncation of the nonlinear term. Moreover, the birth of the “tyger” is related to a period-doubling bifurcation which is illustrated by a map constructed by an iterative method at the center of the “tyger”. In order to study the process of stability loss of the truncated wave solution, a perturbed wave is derived. The truncated wave solution loses its stability in every oscillator mode of the perturbed wave. Finally, the long-term process of thermalization is displayed by the perturbed wave coupled with a frozen wave profile containing a symmetric pair of shocks. Thermalization appears from the both sides of small structures around the center without symmetry breaking. The phenomenon of the birth of “a tyger” and its following thermalization can be understood from the view of stability loss of the truncated wave solution.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 45, April 2017, Pages 104-116
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 45, April 2017, Pages 104-116
نویسندگان
Peihua Feng, Jiazhong Zhang, Shengli Cao, S.V. Prants, Yan Liu,