کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897159 1534068 2008 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical simulations of possible finite time singularities in the incompressible Euler equations: Comparison of numerical methods
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical simulations of possible finite time singularities in the incompressible Euler equations: Comparison of numerical methods
چکیده انگلیسی
The numerical simulation of the 3D incompressible Euler equations is analyzed with respect to different integration methods. The numerical schemes we considered include spectral methods with different strategies for dealiasing and two variants of finite difference methods. Based on this comparison, a Kida-Pelz-like initial condition is integrated using adaptive mesh refinement and estimates on the necessary numerical resolution are given. This estimate is based on analyzing the scaling behavior similar to the procedure in critical phenomena and present simulations are put into perspective.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 237, Issues 14–17, 15 August 2008, Pages 1932-1936
نویسندگان
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