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 fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.

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

Inhalt
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 SolutionsTowards 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.