Mean flows and the onset of chaos in large-cell convection

Numerical simulations of two-dimensional model equations show that a coupling between amplitude and vertical-vorticity fields allows chaotic flows near the onset of Rayleigh-Bénard convection in large-aspect-ratio domains. In cylindrical cells, mean flows arising from this coupling lead to a chaotic nucleation of dislocations that is remarkably similar to recent observations in convection experiments

The Digital Transformation of Search and Recombination in the Innovation Function: Tensions and an Integrative Framework*

Search and recombination are important mechanisms in the creativity phase of innovation. Digital transformation and the resulting pervasive digitalization of the innovation function have often been associated with increasing possibilities for search and recombination. In this paper, by systematically integrating the search and recombination literature with the literature on digitalization, we demonstrate that digitalization may engender new idiosyncratic tensions in the organizational antecedents of search and recombination and, by implication, in their likely outcomes. We propose that, depending on the interactions among the idiosyncratic tensions identified herein, knowledge recombination might spur very different outcomes, including knowledge layering, knowledge integration, knowledge grafting, or even no recombination at all (which we label “search for the sake of search”). These outcomes may not always be the initially planned desired outcomes. Finally, we provide implications of our integrative framework pertaining to product development and to organizing for innovation

THE FINITE VOLUME SCHARFETTER-GUMMEL METHOD FOR STEADY CONVECTION DIFFUSION EQUATIONS

Here we consider the FVSG method applied to the following model convection-diffusion problem for u on a polygonal domain \Omega ae!2 with boundary @\Omega = \Gamma 1 [ \Gamma 2, \Gamma 1 " \Gamma 2 = ; and outward normal n