Author | Schmid, Peter J. author |
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Title | Stability and Transition in Shear Flows [electronic resource] / by Peter J. Schmid, Dan S. Henningson |
Imprint | New York, NY : Springer New York : Imprint: Springer, 2001 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-0185-1 |
Descript | XIII, 558 p. online resource |
1 Introduction and General Results -- 1.1 Introduction -- 1.2 Nonlinear Disturbance Equations -- 1.3 Definition of Stability and Critical Reynolds Numbers -- 1.4 The Reynolds-Orr Equation -- I Temporal Stability of Parallel Shear Flows -- 2 Linear Inviscid Analysis -- 3 Eigensolutions to the Viscous Problem -- 4 The Viscous Initial Value Problem -- 5 Nonlinear Stability -- II Stability of Complex Flows and Transition -- 6 Temporal Stability of Complex Flows -- 7 Growth of Disturbances in Space -- 8 Secondary Instability -- 9 Transition to Turbulence -- III Appendix -- A Numerical Issues and Computer Programs -- A.1 Global versus Local Methods -- A.2 Runge-Kutta Methods -- A.3 Chebyshev Expansions -- A.4 Infinite Domain and Continuous Spectrum -- A.5 Chebyshev Discretization of the Orr-Sommerfeld Equation -- A.6 MATLAB Codes for Hydrodynamic Stability Calculations -- A.7 Eigenvalues of Parallel Shear Flows -- B Resonances and Degeneracies -- B.1 Resonances and Degeneracies -- B.2 Orr-Sommerfeld-Squire Resonance -- C Adjoint of the Linearized Boundary Layer Equation -- C.1 Adjoint of the Linearized Boundary Layer Equation -- D Selected Problems on Part I