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 study a 1D geometry of a plasma confined between two conducting floatingwalls with applications to laboratory plasmas. These plasmas are characterizedby a quasi-neutral bulk that is joined to the wall by a thin boundary layercalled sheath that is positively charged. Although analytical solutions areavailable in the sheath and the pre-sheath, joining the two areas by oneanalytical solution is still an open problem which requires the numericalresolution of the fluid equations coupled to Poisson equation. Currentnumerical schemes use high-order discretizations to correctly capture theelectron current in the sheath, presenting unsatisfactory results in theboundary layer and they are not adapted to all the possible collisionalregimes. In this work, we identify the main numerical challenges that arisewhen attempting the simulations of such configuration and we proposeexplanations for the observed phenomena via numerical analysis. We propose anumerical scheme with controlled diffusion as well as new discrete boundaryconditions that address the identified issues.

Numerical challenges in the simulation of 1D bounded low-temperature plasmas with charge separation in various collisional regimes