%0 Journal Article %1 barkley2002threedimensional %A Barkley, Dwight %A Gomes, M. G. M. %A Henderson, Ronald D. %D 2002 %J Journal of Fluid Mechanics %K 76d05-incompressible-navier-stokes-equations 76e09-stability-and-instability-of-nonparallel-flows 76m22-spectral-methods-in-fluid-mechanics %P 167--190 %R 10.1017/s002211200200232x %T Three-Dimensional Instability in Flow over a Backward-Facing Step %U http://dx.doi.org/10.1017/s002211200200232x %V 473 %X Results are reported from a three-dimensional computational stability analysis of flow over a backward-facing step with an expansion ratio (outlet to inlet height) of 2 at Reynolds numbers between 450 and 1050. The analysis shows that the first absolute linear instability of the steady two-dimensional flow is a steady three-dimensional bifurcation at a critical Reynolds number of 748. The critical eigenmode is localized to the primary separation bubble and has a flat roll structure with a spanwise wavelength of 6.9 step heights. The system is further shown to be absolutely stable to two-dimensional perturbations up to a Reynolds number of 1500. Stability spectra and visualizations of the global modes of the system are presented for representative Reynolds numbers.

@article{barkley2002threedimensional, abstract = {{Results are reported from a three-dimensional computational stability analysis of flow over a backward-facing step with an expansion ratio (outlet to inlet height) of 2 at Reynolds numbers between 450 and 1050. The analysis shows that the first absolute linear instability of the steady two-dimensional flow is a steady three-dimensional bifurcation at a critical Reynolds number of 748. The critical eigenmode is localized to the primary separation bubble and has a flat roll structure with a spanwise wavelength of 6.9 step heights. The system is further shown to be absolutely stable to two-dimensional perturbations up to a Reynolds number of 1500. Stability spectra and visualizations of the global modes of the system are presented for representative Reynolds numbers.}}, added-at = {2017-06-29T07:13:07.000+0200}, author = {Barkley, Dwight and Gomes, M. G. M. and Henderson, Ronald D.}, biburl = {https://www.bibsonomy.org/bibtex/28d66be0f2c39698b52a934583a9be960/gdmcbain}, citeulike-article-id = {14230610}, citeulike-attachment-1 = {barkley_02_three.pdf; /pdf/user/gdmcbain/article/14230610/1095352/barkley_02_three.pdf; cf5ec9c8492015506bba6dbb75fce2debc5ef847}, citeulike-linkout-0 = {http://dx.doi.org/10.1017/s002211200200232x}, day = 13, doi = {10.1017/s002211200200232x}, file = {barkley_02_three.pdf}, interhash = {32fb4cdba92ba33107fd179f4da07fb0}, intrahash = {8d66be0f2c39698b52a934583a9be960}, issn = {0022-1120}, journal = {Journal of Fluid Mechanics}, keywords = {76d05-incompressible-navier-stokes-equations 76e09-stability-and-instability-of-nonparallel-flows 76m22-spectral-methods-in-fluid-mechanics}, month = dec, pages = {167--190}, posted-at = {2016-12-20 03:41:24}, priority = {0}, timestamp = {2020-07-06T08:25:24.000+0200}, title = {{Three-Dimensional Instability in Flow over a Backward-Facing Step}}, url = {http://dx.doi.org/10.1017/s002211200200232x}, volume = 473, year = 2002 }