Evolution of complex singularities in Kida??????Pelz and Taylor??????Green inviscid flows

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• 作者：Cichowlas ; C. ; Brachet ; M.-E.
• 关键词：Euler equation ; Interferences ; Complex singularities
• 刊名：Fluid Dynamics Research
• 出版年：2005
• 出版时间：April - May, 2005
• 年：2005
• 卷：36
• 期：4-6
• 页码：239-248
• 全文大小：479 K

文摘

The analyticity strip method is used to trace complex singularities in direct numerical simulations of the Kida–Pelz and Taylor–Green flows, performed with up to S4SV-1&_mathId=mml29&_user=10&_cdi=5303&_rdoc=7&_handle=V-WA-A-W-WU-MsSAYZW-UUW-U-AAWCVDUCAZ-AAWBUCABAZ-WCDDEZWZU-WU-U&_acct=C000050221&_version=1&_userid=10&md5=2c9bf636e7bc94c95bcf028dfe0c4262"" title=""Click to view the MathML source"">2048³ collocation points. Oscillations found in the Kida–Pelz energy spectrum are attributed to interferences of complex singularities. A generalized least-square fit that separates out the oscillations from the measure of the width of the analyticity strip δ is introduced. Using the available resolution, a259b7f4ed14b5e42cd0bfc42b5"" title=""Click to view the MathML source"">δ is found to decay exponentially in time up to a2440834af1083cf99a99"" title=""Click to view the MathML source"">t