کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9703436 1463323 2005 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The analytic structure of 2D Euler flow at short times
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
The analytic structure of 2D Euler flow at short times
چکیده انگلیسی
Using a very high precision spectral calculation applied to the incompressible and inviscid flow with initial condition ψ0(x1,x2)=cosx1+cos2x2, we find that the width δ(t) of its analyticity strip follows a ln(1/t) law at short times over eight decades. The asymptotic equation governing the structure of spatial complex-space singularities at short times [Frisch, U., Matsumoto, T., Bec, J., 2003. J. Stat. Phys. 113, 761-781] is solved by a high-precision expansion method. Strong numerical evidence is obtained that singularities have infinite vorticity and lie on a complex manifold which is constructed explicitly as an envelope of analyticity disks.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fluid Dynamics Research - Volume 36, Issues 4–6, April–June 2005, Pages 221-237
نویسندگان
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