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

We present a new method for two-material Lagrangian hydrodynamics, whichcombines the Shifted Interface Method (SIM) with a high-order Finite ElementMethod. Our approach relies on an exact (or sharp) material interfacerepresentation, that is, it uses the precise location of the materialinterface. The interface is represented by the zero level-set of a continuoushigh-order finite element function that moves with the material velocity. Thisstrategy allows to evolve curved material interfaces inside curved elements. Byreformulating the original interface problem over a surrogate (approximate)interface, located in proximity of the true interface, the SIM avoids cut cellsand the associated problematic issues regarding implementation, numericalstability, and matrix conditioning. Accuracy is maintained by modifying theoriginal interface conditions using Taylor expansions. We demonstrate theperformance of the proposed algorithms on established numerical benchmarks inone, two and three dimensions.

A High-Order Shifted Interface Method for Lagrangian Shock Hydrodynamics