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.
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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 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.
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