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1篇 您的检索式:作者名="Eusebius Doedel"
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1Numerical Bifurcation Methods and their Application to Fluid Dynamics: Analysis beyond Simulation显示文摘We provide an overview of current techniques and typical applications of numerical bifurcation analysis in fluid dynamical problems.Many of these problems are characterized by high-dimensional dynamical systems which undergo transitions as parameters are changed.The computation of the critical conditions associated with these transitions,popularly referred to as‘tipping points’,is important for understanding the transition mechanisms.We describe the two basic classes of methods of numerical bifurcation analysis,which differ in the explicit or implicit use of the Jacobian matrix of the dynamical system.The numerical challenges involved in both methods are mentioned and possible solutions to current bottlenecks are given.To demonstrate that numerical bifurcation techniques are not restricted to relatively low-dimensional dynamical systems,we provide several examples of the application of the modern techniques to a diverse set of fluid mechanical problems.Henk A.Dijkstra Fred W.Wubs Andrew K.Cliffe Eusebius Doedel Ioana F.Dragomirescu Bruno Eckhardt Alexander Yu.Gelfgat Andrew L.Hazel Valerio Lucarini Andy G.Salinger Erik T.Phipps Juan Sanchez-Umbria Henk Schuttelaars Laurette S.Tuckerman Uwe Thiele 2014Communications in Computational Physics2014,15,1:0
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