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 Plus

Presents the zaia usage as premium feature

ZAIA

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 access of premium content as premium feature

Premium Content

Zendy Tools

Zendy Open

A third-order moving mesh cell-centered scheme without the remapping ofphysical variables is developed for the numerical solution of one-dimensionalelastic-plastic flows with the Mie-Gr\"{u}neisen equation of state, the Wilkinsconstitutive model, and the von Mises yielding criterion. The scheme combinesthe Lagrangian method with the MMPDE moving mesh method and adaptively movesthe mesh to better resolve shock and other types of waves while preventing themesh from crossing and tangling. It can be viewed as a direct arbitrarilyLagrangian-Eulerian method but can also be degenerated to a purely Lagrangianscheme. It treats the relative velocity of the fluid with respect to the meshas constant in time between time steps, which allows high-order approximationof free boundaries. A time dependent scaling is used in the monitor function toavoid possible sudden movement of the mesh points due to the creation ordiminishing of shock and rarefaction waves or the steepening of those waves. Atwo-rarefaction Riemann solver with elastic waves is employed to compute theGodunov values of the density, pressure, velocity, and deviatoric stress atcell interfaces. Numerical results are presented for three examples. Thethird-order convergence of the scheme and its ability to concentrate meshpoints around shock and elastic rarefaction waves are demonstrated. Theobtained numerical results are in good agreement with those in literature. Thenew scheme is also shown to be more accurate in resolving shock and rarefactionwaves than an existing third-order cell-centered Lagrangian scheme.

A Third-Order Moving Mesh Cell-Centered Scheme for One-Dimensional Elastic-Plastic Flows