During the last decade, much progress has been made, both numerically and experimentally, towards understanding the kinematics (dynamics) of the VIV, although in the low Reynolds number regime. The fundamental reason is that the VIV is not a small perturbation superimposed on a stable mean motion. It is an intrinsically nonlinear, self-governed or self-regulated, multiple degrees of freedom phenomenon. It presents unstable flow characteristics that are manifested by the existence of two shear layers&action=edit&redlink=1 "Shear (physics) (not yet drafted)") unstable and large-scale structures.

There is much that is known and understood and much that remains in the empirical/descriptive realm of knowledge: what is the dominant response frequency, the normalized velocity range, the variation of the phase angle (by which the force leads the displacement "Displacement (vector)"), and the response amplitude in the synchronization range as a function of the control and influence parameters? Industrial applications highlight our inability to predict the dynamic response of fluid-structure interactions. They still require the introduction of in-phase and out-of-phase components of lift coefficients (or shear force), in-line drag coefficients, correlation lengths, damping coefficients, relative roughness, shear, waves and currents, among other governing and influencing parameters, and so also require the introduction of relatively large safety factors. Fundamental studies as well as large-scale experiments (when these results are disseminated in the open literature) will provide the understanding necessary for the quantification of the relationships between the response of a structure and the governing and influencing parameters.

It cannot be stressed enough that the current state of laboratory art concerns the interaction of a rigid body (primarily and most importantly for a circular cylinder) whose degrees of freedom have been reduced from six to often one (i.e. transverse motion) with a separate three-dimensional flow, dominated by large-scale vortical structures.

• - Flame "Aeroelasticity").

• - Von Kármán vortex street.

• - Vortex shedding.

• - (Note: the reissue contains an additional list of errata in the appendix.)

• - Data repository on vortex-induced vibrations.

• - Course Design Principles for Ocean Vehicles, MIT.

• - eFunda: Introduction to vortex flowmeters.

During the last decade, much progress has been made, both numerically and experimentally, towards understanding the kinematics (dynamics) of the VIV, although in the low Reynolds number regime. The fundamental reason is that the VIV is not a small perturbation superimposed on a stable mean motion. It is an intrinsically nonlinear, self-governed or self-regulated, multiple degrees of freedom phenomenon. It presents unstable flow characteristics that are manifested by the existence of two shear layers&action=edit&redlink=1 "Shear (physics) (not yet drafted)") unstable and large-scale structures.

There is much that is known and understood and much that remains in the empirical/descriptive realm of knowledge: what is the dominant response frequency, the normalized velocity range, the variation of the phase angle (by which the force leads the displacement "Displacement (vector)"), and the response amplitude in the synchronization range as a function of the control and influence parameters? Industrial applications highlight our inability to predict the dynamic response of fluid-structure interactions. They still require the introduction of in-phase and out-of-phase components of lift coefficients (or shear force), in-line drag coefficients, correlation lengths, damping coefficients, relative roughness, shear, waves and currents, among other governing and influencing parameters, and so also require the introduction of relatively large safety factors. Fundamental studies as well as large-scale experiments (when these results are disseminated in the open literature) will provide the understanding necessary for the quantification of the relationships between the response of a structure and the governing and influencing parameters.

It cannot be stressed enough that the current state of laboratory art concerns the interaction of a rigid body (primarily and most importantly for a circular cylinder) whose degrees of freedom have been reduced from six to often one (i.e. transverse motion) with a separate three-dimensional flow, dominated by large-scale vortical structures.

• - Flame "Aeroelasticity").

• - Von Kármán vortex street.

• - Vortex shedding.

• - (Note: the reissue contains an additional list of errata in the appendix.)

• - Data repository on vortex-induced vibrations.

• - Course Design Principles for Ocean Vehicles, MIT.

• - eFunda: Introduction to vortex flowmeters.