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Study on Mass Transports in Evolution of Separation Bubbles Using LCSs and Lobe Dynamics
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作者 Shengli Cao Wei Wang +1 位作者 Jiazhong Zhang Yan Liu 《Communications in Computational Physics》 SCIE 2017年第6期285-302,共18页
The lobe dynamics andmass transport between separation bubble andmain flow in flow over airfoil are studied in detail,using Lagrangian coherent structures(LCSs),in order to understand the nature of evolution of the se... The lobe dynamics andmass transport between separation bubble andmain flow in flow over airfoil are studied in detail,using Lagrangian coherent structures(LCSs),in order to understand the nature of evolution of the separation bubble.For this problem,the transient flow over NACA0012 airfoil with low Reynolds number is simulated numerically by characteristic based split(CBS)scheme,in combination with dual time stepping.Then,LCSs and lobe dynamics are introduced and developed to investigate themass transport between separation bubble andmain flow,from viewpoint of nonlinear dynamics.The results show that stablemanifolds and unstable manifolds could be tangledwith each other as time evolution,and the lobes are formed periodically to induce mass transport between main flow and separation bubble,with dynamic behaviors.Moreover,the evolution of the separation bubble depends essentially on themass transportwhich is induced by lobes,ensuing energy andmomentum transfers.As the results,it can be drawn that the dynamics of flow separation could be studied using LCSs and lobe dynamics,and could be controlled feasibly if an appropriate control is applied to the upstream boundary layer with high momentum. 展开更多
关键词 Mass transport separation bubble Lagrangian coherent structures lobe dynamics
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Global Geometric Analysis of Ship Rolling and Capsizing in Random Waves 被引量:4
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作者 王迎光 谭家华 《China Ocean Engineering》 SCIE EI 2007年第4期577-586,共10页
The nonlinear biased ship rolling motion and capsizing in randoro waves are studied by utilizing a global geometric method. Thompson' s α-parameterized family of restoring functions is adopted in the vessel equation... The nonlinear biased ship rolling motion and capsizing in randoro waves are studied by utilizing a global geometric method. Thompson' s α-parameterized family of restoring functions is adopted in the vessel equation of motion for the representation of bias. To take into account the presence of randomness in the excitation and the response, a stochastic Melnikov method is developed and a mean-square criterion is obtained to provide an upper bound on the domain of the potential chaotic rolling motion. This criterion can be used to predict the qualitative nature of the invariant manifolds which represent the boundary botween safe and unsafe initial conditions, and how these depend on system parameters of the specific ship model. Phase space transport theory and lobe dynamics are used to demonstrate how motions starting from initial conditions inside the regions bounded by the intersected manifolds will evolve and how unexpected capsizing can occur. 展开更多
关键词 ship cap.sizing global geometric analysis stochastic Melnikov method irvariant manifolds lobe dynamics
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