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 present an improved high-order weighted compact high resolution (WCHR)scheme that extends the idea of weighted compact nonlinear schemes (WCNS's)using nonlinear interpolations in conjunction with compact finite differenceschemes for shock-capturing in compressible turbulent flows. The proposedscheme has better resolution property than previous WCNS's. This is achieved byusing a compact (or spatially implicit) form instead of the traditional fullyexplicit form for the nonlinear interpolation. Since compact interpolationschemes tend to have lower dispersion errors compared to explicit interpolationschemes, the proposed scheme has the ability to resolve more fine-scalefeatures while still having the ability to provide sufficiently localizeddissipation to capture shocks and discontinuities robustly. Approximatedispersion relation characteristics of this scheme are analyzed to show thesuperior resolution properties of the scheme compared to other WCNS's ofsimilar orders of accuracy. Conservative and high-order accurate boundaryschemes are also proposed for non-periodic problems. Further, a newconservative flux-difference form for compact finite difference schemes isderived and allows for the use of positivity-preserving limiters for improvedrobustness. Different test cases demonstrate the ability of this scheme tocapture discontinuities in a robust and stable manner while also localizing therequired numerical dissipation only to regions containing discontinuities andvery high wavenumber features and hence preserving smooth flow features betterin comparison to WCNS's.

A High-Order Weighted Compact High Resolution Scheme with Boundary Closures for Compressible Turbulent Flows with Shocks