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

Testing the order of accuracy of (very) high order methods for shallow water(and Euler) equations is a delicate operation and the test cases are thecrucial starting point of this operation. We provide a short derivation ofvortex-like analytical solutions in 2 dimensions for the shallow waterequations (and, hence, Euler equations) that can be used to test the order ofaccuracy of numerical methods. These solutions have different smoothness intheir derivatives (up to $\mathcal C^\infty$) and can be used accordingly tothe order of accuracy of the scheme to test.

Analytical travelling vortex solutions of hyperbolic equations for validating very high order schemes