Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics

Front Matter ....Pages i-viii
Front Matter ....Pages 1-1
 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
 Time-Stepping and Krylov Methods for Large-Scale Instability Problems  (J.-Ch. Loiseau, M. A. Bucci, S. Cherubini, J.-Ch. Robinet)....Pages 33-73
 Spatial and Temporal Adaptivity in Numerical Studies of Instabilities, with Applications to Fluid Flows  (Andrew L. Hazel)....Pages 75-115
 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
 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
Front Matter ....Pages 169-169
 Stationary Flows and Periodic Dynamics of Binary Mixtures in Tall Laterally Heated Slots  (Juan Sánchez Umbría, Marta Net)....Pages 171-216
 A Brief History of Simple Invariant Solutions in Turbulence  (Lennaert van Veen)....Pages 217-231
 The Lid-Driven Cavity  (Hendrik C. Kuhlmann, Francesco Romanò)....Pages 233-309
 Instabilities in the Wake of an Inclined Prolate Spheroid  (Helge I. Andersson, Fengjian Jiang, Valery L. Okulov)....Pages 311-352
 Global Galerkin Method for Stability Studies in Incompressible CFD and Other Possible Applications  (Alexander Gelfgat)....Pages 353-398
Front Matter ....Pages 399-399
 Instabilities in Extreme Magnetoconvection  (Oleg Zikanov, Yaroslav Listratov, Xuan Zhang, Valentin Sviridov)....Pages 401-417
 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
 Continuation for Thin Film Hydrodynamics and Related Scalar Problems  (S. Engelnkemper, S. V. Gurevich, H. Uecker, D. Wetzel, U. Thiele)....Pages 459-501
 Numerical Bifurcation Analysis of Marine Ice Sheet Models  (T. E. Mulder, H. A. Dijkstra, F. W. Wubs)....Pages 503-527