Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics

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...

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Bibliographic Details
Other Authors: Gelfgat, Alexander (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2019, 2019
Edition:1st ed. 2019
Series:Computational Methods in Applied Sciences
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • Part 1: Novel methods and approaches
  • Order-of-magnitude speedup for steady states and traveling waves via Stokes preconditioning in Channelflow and Openpipeflow, by L. S. Tuckerman, J. Langham, and A.Willis
  • Time-stepping and Krylov methods for large-scale instability problems, by J.-Ch. Loiseau, M. A. Bucci, S. Cherubini, and J.-Ch Robinet
  • Spatial and temporal adaptivity in numerical studies of instabilities, with applications to fluid flows, by A.L. Hazel
  • Computation of Unstable Periodically Forced Navier-Stokes Solutions—Towards Physical Modal Expansions, by M. Morzynski, B. R. Noack
  • On acceleration of Krylov-subspace-based Newton and Arnoldi iterations for incompressible CFD: replacing time steppers and generation of initial guess, by A.Gelfgat
  • Part 2: Reviews of methods, approaches, and problems
  • Stationary flows and periodic dynamics of binary mixtures in tall laterally heated slots, by J.S.Umbria and M. Net
  • A brief history of simple invariant solutions in turbulence, by L.van Veen
  • The lid driven cavity, by H. Kuhlmann, and F. Romano
  • Instabilities in the wake of an inclined prolate spheroid, by H. I. Andersson, F. Jiang, V. L. Okulov
  • Global Galerkin method for stability studies in incompressible CFD and other possible applications, by A. Gelfgat
  • Part 3: Some recently solved problems
  • Instabilities in extreme magnetoconvection, by O. Zikanov, Y. Listratov, X. Zhang, and V. Sviridov
  • A mathematical and numerical framework for the simulation of oscillatory buoyancy and Marangoni convection in rectangular cavities with variable cross section, by M. Lappa
  • Continuation for thin film hydrodynamics and related scalar problems, by S. Engelnkemper, S. V. Gurevich, H. Uecker, D. Wetzel, and U. Thiele
  • Numerical Bifurcation Analysis of Marine Ice Sheet Models, by T. E. Mulder, H. A. Dijkstra, and F. W. Wubs.