Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics

✍ Scribed by Alexander Gelfgat

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 524
• Series: Computational Methods in Applied Sciences 50
• Edition: 1st ed.
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

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

✦ Subjects

Engineering; Engineering Fluid Dynamics; Mechanical Engineering; Fluid- and Aerodynamics; Computational Mathematics and Numerical Analysis; Mathematical Applications in the Physical Sciences