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 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

Zendy Tools

Zendy Open

A new parametric class of semi-implicit numerical schemes for a level setadvection equation on Cartesian grids is derived and analyzed. An accuracy anda stability study is provided for a linear advection equation with a variablevelocity using partial Lax-Wendroff procedure and numerical von Neumannstability analysis. The obtained semi-implicit kappa-scheme is 2nd orderaccurate in space and time in any dimensional case when using a dimension bydimension extension of the one-dimensional scheme that is not the case foranalogous fully explicit or fully implicit kappa-schemes. A further improvementis obtained by using so-called Corner Transport Upwind extension intwo-dimensional case. The extended semi-implicit kappa-scheme with a specific(velocity dependent) value of kappa is 3rd order accurate in space and time fora constant advection velocity, and it is unconditional stable according to thenumerical von Neumann stability analysis for the linear advection equation ingeneral.

Semi-implicit second order schemes for numerical solution of level set advection equation on Cartesian grids