Thermalized solution of the Galerkin-truncated Burgers equation: From the birth of local structures to thermalization
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- 作者：Peihua Fenga ; f-peihua@stu.xjtu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Jiazhong Zhang ; a ; jzzhang@mail.xjtu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Shengli Caoa ; csl1993@stu.xjtu.edu.cn" class="auth_mail" title="E-mail the corresponding author ; S.V. Prantsb ; prants@poi.dvo.ru" class="auth_mail" title="E-mail the corresponding author ; Yan Liuc ; Liuyan@nwpu.edu.cn" class="auth_mail" title="E-mail the corresponding author
- 关键词：Thermalization ; Truncation ; Inviscid Burgers equation
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2017
- 出版时间：April 2017
- 年：2017
- 卷：45
- 期：Complete
- 页码：104-116
- 全文大小：5373 K
文摘
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Highly-organized local structures called as “tygers” generate at the occurrence of shock waves governed by inviscid Burgers equation when using pseudo-spectral method.
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It is found that the generation of a “tyger” is related to period-doubling bifurcation.
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The formation of a “tyger” can also be understood by the stability loss of wave system.
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The mechanism is revealed by studying eigenvalue problem derived from perturbed wave equation by the complex oscillator system.
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Thermalized solution also appears with the breaking of “tygers”.
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The process from a local structures to thermalization is a long-term transition.