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/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The entropy conservative, curvilinear, nonconforming, p-refinement algorithmfor hyperbolic conservation laws of Del Rey Fernandez et al. (2019), isextended from the compressible Euler equations to the compressibleNavier-Stokes equations. A simple and flexible coupling procedure with planarinterpolation operators between adjoining nonconforming elements is used.Curvilinear volume metric terms are numerically approximated via a minimizationprocedure and satisfy the discrete geometric conservation law conditions.Distinct curvilinear surface metrics are used on the adjoining interfaces toconstruct the interface coupling terms, thereby localizing the discretegeometric conservation law constraints to each individual element. Theresulting scheme is entropy conservative/stable, element-wise conservative, andfreestream preserving. Viscous interface dissipation operators are developedthat retain the entropy stability of the base scheme. The accuracy andstability properties of the resulting numerical scheme are shown to becomparable to those of the original conforming scheme (achieving ~p+1convergence) in the context of the viscous shock problem, the Taylor-Greenvortex problem at a Reynolds number of Re=1,600, and a subsonic turbulent flowpast a sphere at Re = 2,000.

Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations