Nonlinear Dynamics of Transcritical Flows

1. Front Matter

   Pages N1-VI

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2. Introduction

   1. Nonlinear Dynamics

      1. Nonlinear Dynamics Temporal and Spatial Structures in Fluid Mechanics

         • H. Oertel Jr.

         Pages 1-36

3. Synergetics

   1. Self-Organization in Physics

      • H. Haken

      Pages 37-50

4. Nonlinear Dynamical Systems

   1. Tori and Chaos in a Simple C1-System

      • O. E. Rössler, C. Kahlert, B. Uehleke

      Pages 51-58

5. Transcritical Flows

   1. Transitional and Turbulent Wakes and Chaotic Dynamical Systems

      • K. R. Sreenivasan

      Pages 59-80

6. Fluid Mechanical Structures

   1. Structural Stability of Three-Dimensional Vortex Flows

      • U. Dallmann

      Pages 81-102

   2. Self Similarity, Critical Points, and Hill’s Spherical Vortex

      • G. A. Allen Jr.

      Pages 103-121

7. Transition and Turbulence

   1. Three-Dimensional Processes in Laminar-Turbulent Transition

      • L. Kleiser

      Pages 123-154

   2. Renormalization Group Formulation of Large Eddy Simulation

      • V. Yakhot, S. A. Orszag

      Pages 155-174

8. Meteorological Dynamics

   1. Three-Dimensional Cumulus Cloud Convection

      • U. Schumann

      Pages 175-195

9. Back Matter

   Pages 199-199

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The German Aerospace Research Establishment (DFVLR) has initiated a new series of seminars concerning fundamental problems in applied engineering sciences. These seminars will be devoted to interdisciplinary topics related to the vast variety of DFVLR activities in the fields of fluid mechanics, flight mechanics, guidance and control, materials and struc­ tures, non-nuclear energetics, communication technology, and remote sensing. The purpose of the series is twofold, namely, to bring modern ideas and techniques to the attention of the DFVLR in order to stimulate internal activi ties, and secondly, to promulgate DFVLR achievements wi thin the international scientific/technical community. To this end, prominent speakers from Germany and other countries will be invited to join in a series of lectures and discussions on certain topics of mutual interest. The first colloquium of this series dealt with the dynamics of nonlinear systems, especially in relation'to its application to fluid mechanics, particularly in transcritical flows. Of special interest are questions concerning the formation of nonlinear three-dimensional structures in classical fluid mechanical stability problems, the physical process of transition to turbulence, and the appearance of chaotic solutions. The scope of lectures reaches from self-organization in physical systems to structural stability of three-dimensional vortex patterns, the treatment of dissipative and conservative systems, the formation of nonlinear structures in the region of laminar-turbulent transition, and numerical simulation of cumulus cloud convection in meteorology. The seminar should provide an insight into the extent to which theoretical findings in Non­ linear Dynamics apply to the comprehension of fluid-mechanical problems.

• Dynamics
• Normal
• Remote Sensing
• Transit
• control
• nonlinear system
• simulation
• stability

• DFVLR — Vorsitzender des Vorstands, Köln 90, Germany

  H. L. Jordan

• DFVLR — Institut für Theoretische Strömungsmechanik, Göttingen, Germany

  H. Oertel

• DFVLR — Stabsabteilung Programmvorbereitung, Köln 90, Germany

  K. Robert

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