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

Stabilised mixed velocity-pressure formulations are one of the widely-usedfinite element schemes for computing the numerical solutions of laminarincompressible Navier-Stokes. In these formulations, the Newton-Raphson schemeis employed to solve the nonlinearity in the convection term. One fundamentalissue with this approach is the computational cost incurred in theNewton-Raphson iterations at every load/time step. In this paper, we present aniteration-free mixed finite element formulation for incompressibleNavier-Stokes that preserves second-order temporal accuracy of thegeneralised-alpha and related schemes for both velocity and pressure fields.First, we demonstrate the second-order temporal accuracy using numericalconvergence studies for an example with a manufactured solution. Later, weassess the accuracy and the computational benefits of the proposed scheme bystudying the benchmark example of flow past a fixed circular cylinder. Towardsshowcasing the applicability of the proposed technique in a wider context, theinf-sup stable P2-P1 pair for the formulation without stabilisation is alsoconsidered. Finally, the resulting benefits of using the proposed scheme forfluid-structure interaction problems is illustrated using two benchmarkexamples in fluid-flexible structure interaction.

Accurate iteration-free mixed-stabilised formulation for laminar incompressible Navier-Stokes: Applications to fluid-structure interaction