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About this book

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

Frontmatter

Novel Methods and Approaches

Frontmatter

2019 | OriginalPaper | Chapter

Order-of-Magnitude Speedup for Steady States and Traveling Waves via Stokes Preconditioning in Channelflow and Openpipeflow

Laurette S. Tuckerman, Jacob Langham, Ashley Willis

2019 | OriginalPaper | Chapter

Time-Stepping and Krylov Methods for Large-Scale Instability Problems

J.-Ch. Loiseau, M. A. Bucci, S. Cherubini, J.-Ch. Robinet

2019 | OriginalPaper | Chapter

Spatial and Temporal Adaptivity in Numerical Studies of Instabilities, with Applications to Fluid Flows

Andrew L. Hazel

2019 | OriginalPaper | Chapter

Unstable Periodically Forced Navier–Stokes Solutions–Towards Nonlinear First-Principle Reduced-Order Modeling of Actuator Performance

Marek Morzyński, Wojciech Szeliga, Bernd R. Noack

2019 | OriginalPaper | Chapter

On Acceleration of Krylov-Subspace-Based Newton and Arnoldi Iterations for Incompressible CFD: Replacing Time Steppers and Generation of Initial Guess

Alexander Gelfgat

Reviews of Methods, Approaches, and Problems

Frontmatter

2019 | OriginalPaper | Chapter

Stationary Flows and Periodic Dynamics of Binary Mixtures in Tall Laterally Heated Slots

Juan Sánchez Umbría, Marta Net

2019 | OriginalPaper | Chapter

A Brief History of Simple Invariant Solutions in Turbulence

Lennaert van Veen

2019 | OriginalPaper | Chapter

The Lid-Driven Cavity

Hendrik C. Kuhlmann, Francesco Romanò

2019 | OriginalPaper | Chapter

Instabilities in the Wake of an Inclined Prolate Spheroid

Helge I. Andersson, Fengjian Jiang, Valery L. Okulov

2019 | OriginalPaper | Chapter

Global Galerkin Method for Stability Studies in Incompressible CFD and Other Possible Applications

Alexander Gelfgat

Some Recently Solved Problems

Frontmatter

2019 | OriginalPaper | Chapter

Instabilities in Extreme Magnetoconvection

Oleg Zikanov, Yaroslav Listratov, Xuan Zhang, Valentin Sviridov

2019 | OriginalPaper | Chapter

A Mathematical and Numerical Framework for the Simulation of Oscillatory Buoyancy and Marangoni Convection in Rectangular Cavities with Variable Cross Section

Marcello Lappa

2019 | OriginalPaper | Chapter

Continuation for Thin Film Hydrodynamics and Related Scalar Problems

S. Engelnkemper, S. V. Gurevich, H. Uecker, D. Wetzel, U. Thiele

2019 | OriginalPaper | Chapter

Numerical Bifurcation Analysis of Marine Ice Sheet Models

T. E. Mulder, H. A. Dijkstra, F. W. Wubs
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