English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

This paper presents the construction of a correct-energy stabilized finiteelement method for the incompressible Navier-Stokes equations. The framework ofthe methodology and the correct-energy concept have been developed in theconvective--diffusive context in the preceding paper [M.F.P. ten Eikelder, I.Akkerman, Correct energy evolution of stabilized formulations: The relationbetween VMS, SUPG and GLS via dynamic orthogonal small-scales and isogeometricanalysis. I: The convective--diffusive context, Comput. Methods Appl. Mech.Engrg. 331 (2018) 259--280]. The current work extends ideas of the precedingpaper to build a stabilized method within the variational multiscale (VMS)setting which displays correct-energy behavior. Similar to theconvection--diffusion case, a key ingredient is the proper dynamic andorthogonal behavior of the small-scales. This is demanded for correct energybehavior and links the VMS framework to the streamline-upwind Petrov-Galerkin(SUPG) and the Galerkin/least-squares method (GLS).  The presented method is a Galerkin/least-squares formulation with dynamicdivergence-free small-scales (GLSDD). It is locally mass-conservative for boththe large- and small-scales separately. In addition, it locally conserveslinear and angular momentum. The computations require and employ NURBS-basedisogeometric analysis for the spatial discretization. The resulting formulationnumerically shows improved energy behavior for turbulent flows comparing withthe original VMS method.

computer methods in applied mechanics and engineering

Correct energy evolution of stabilized formulations: The relation  between VMS, SUPG and GLS via dynamic orthogonal small-scales and  isogeometric analysis. II: The incompressible Navier-Stokes equations