Web25 mrt. 2014 · It also covers the parabolized stability equation (PSE), temporal and spatial biglobal theory, 2D eigenvalue problems, 3D eigenvalue problems, spectral collocation methods, and other numerical solution methods. Computer codes are provided for tutorials described in the article. WebSince its birth in the 1920s, quantum mechanics has motivated and advanced the analysis of linear operators. In this effort, it significantly contributed to the development of sophisticated mathematical tools in spectral theory. Many of these tools have also found their way into classical fluid mechanics and enabled elegant and effective solution strategies as well as …
Inflow/outflow boundary conditions and global dynamics of …
Web4 jun. 1998 · Huerre and P. A. Monkewitz, “ Absolute and convective instabilities in free shear layers ,” J. Fluid Mech. 159, 151 (1985). Google Scholar Crossref, ISI 6. J. M. Chomaz, P. Huerre, and L. G. Redekopp, “ Bifurcations to local and global modes in spatially-developing flows ,” Phys. Rev. Lett. 60, 25 (1988). Google Scholar Crossref, ISI … WebThe numerical simulation of incompressible spatially-developing shear flows poses a special challenge to computational fluid dynamicists. The Navier-Stokes equations are elliptic and boundary equations need to be specified at the inflow and outflow boundaries in order to compute the fluid properties within the region of interest. It is, however, difficult to choose … troy grove il county
Self-excited oscillations and mixing in a heated round jet
WebThis article reviews linear instability analysis of flows over or through complex two-dimensional (2D) and 3D geometries. In the three decades since it first appeared in the literature, global instability analysis, based on the solution of the multidimensional eigenvalue and/or initial value problem, is continuously broadening both in scope and in … Web4 sep. 2014 · To this end, this paper elucidates the role of fluctuating vorticity production from a linear hydrodynamic stability analysis as the key mechanism promoting absolute/convective instability transitions in shear layers occurring in the flow behind a backward facing step. WebWe investigate the synchronization properties of the two-dimensional periodic flow over a circular cylinder using the principles of phase-reduction theory. The influence of harmonic external forcings on the wake dynami… troy grove township