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

We report the development of a discontinuous spectral element flow solverthat includes the implementation of both spectral difference and fluxreconstruction formulations. With this high order framework, we haveconstructed a foundation upon which to provide a fair and accurate assessmentof these two schemes in terms of accuracy, stability, and performance withspecial attention to the true spectral difference scheme and the modifiedspectral difference scheme recovered via the flux reconstruction formulation.Building on previous analysis of the spectral difference and fluxreconstruction schemes, we provide a novel nonlinear stability analysis of thespectral difference scheme. Through various numerical experiments, wedemonstrate the additional stability afforded by the true, baseline spectraldifference scheme without explicit filtering or de-aliasing due to its inherentfeature of staggered flux points. This arrangement leads to favorablesuppression of aliasing errors and improves stability needed for under-resolvedsimulations of turbulent flows.

Accuracy, Stability, and Performance Comparison between the Spectral Difference and Flux Reconstruction Schemes