Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics

“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)

• 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.