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Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics

  • Book
  • © 2019

Overview

Editors:
  1. Alexander Gelfgat

    1. School of Mechanical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel

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  • Presents the first collection of modern approaches to 3D fluid dynamics stability problems
  • Provides descriptions of the challenging problems being solved nowadays
  • Relevant to a wide spectrum of disciplines

Part of the book series: Computational Methods in Applied Sciences (COMPUTMETHODS, volume 50)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-viii
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  2. Novel Methods and Approaches

    1. Front Matter

      Pages 1-1
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    2. Order-of-Magnitude Speedup for Steady States and Traveling Waves via Stokes Preconditioning in Channelflow and Openpipeflow

      • Laurette S. Tuckerman, Jacob Langham, Ashley Willis
      Pages 3-31

    3. Time-Stepping and Krylov Methods for Large-Scale Instability Problems

      • J.-Ch. Loiseau, M. A. Bucci, S. Cherubini, J.-Ch. Robinet
      Pages 33-73

    4. Spatial and Temporal Adaptivity in Numerical Studies of Instabilities, with Applications to Fluid Flows

      • Andrew L. Hazel
      Pages 75-115

    5. Unstable Periodically Forced Navier–Stokes Solutions–Towards Nonlinear First-Principle Reduced-Order Modeling of Actuator Performance

      • Marek Morzyński, Wojciech Szeliga, Bernd R. Noack
      Pages 117-145

    6. On Acceleration of Krylov-Subspace-Based Newton and Arnoldi Iterations for Incompressible CFD: Replacing Time Steppers and Generation of Initial Guess

      • Alexander Gelfgat
      Pages 147-167

  3. Reviews of Methods, Approaches, and Problems

    1. Front Matter

      Pages 169-169
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    2. Stationary Flows and Periodic Dynamics of Binary Mixtures in Tall Laterally Heated Slots

      • Juan Sánchez Umbría, Marta Net
      Pages 171-216

    3. A Brief History of Simple Invariant Solutions in Turbulence

      • Lennaert van Veen
      Pages 217-231

    4. The Lid-Driven Cavity

      • Hendrik C. Kuhlmann, Francesco Romanò
      Pages 233-309

    5. Instabilities in the Wake of an Inclined Prolate Spheroid

      • Helge I. Andersson, Fengjian Jiang, Valery L. Okulov
      Pages 311-352

    6. Global Galerkin Method for Stability Studies in Incompressible CFD and Other Possible Applications

      • Alexander Gelfgat
      Pages 353-398

  4. Some Recently Solved Problems

    1. Front Matter

      Pages 399-399
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    2. Instabilities in Extreme Magnetoconvection

      • Oleg Zikanov, Yaroslav Listratov, Xuan Zhang, Valentin Sviridov
      Pages 401-417

    3. A Mathematical and Numerical Framework for the Simulation of Oscillatory Buoyancy and Marangoni Convection in Rectangular Cavities with Variable Cross Section

      • Marcello Lappa
      Pages 419-458

    4. Continuation for Thin Film Hydrodynamics and Related Scalar Problems

      • S. Engelnkemper, S. V. Gurevich, H. Uecker, D. Wetzel, U. Thiele
      Pages 459-501

    5. Numerical Bifurcation Analysis of Marine Ice Sheet Models

      • T. E. Mulder, H. A. Dijkstra, F. W. Wubs
      Pages 503-527
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Keywords

About this book

Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.  

Reviews

“The book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures and thereby provides a comprehensive review of recently solved challenging problems in the field.” (Titus Petrila, zbMATH 1398.76005, 2018)

Editors and Affiliations

  • School of Mechanical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv, Israel

    Alexander Gelfgat

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