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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We present a convergence and stability analysis of the finite element modified method of characteristics for the incompressible Navier–Stokes equations. The method consists of combining a second-order backward time discretization based on the characteristics method with a spatial discretization of finite element type. We obtain stability results and optimal error estimates in the  L  2 -norm for velocity and pressure components under a time step restriction more relaxed than the standard Courant–Friedrichs–Levy condition. We also show some numerical results for two benchmark problems on the incompressible Navier–Stokes equations at different Reynolds numbers.

Convergence and stability of finite element modified method of characteristics for the incompressible Navier–Stokes equations