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 design a novel provably stable discontinuous Galerkin spectral element(DGSEM) approximation to solve systems of conservation laws on moving domains.To incorporate the motion of the domain, we use an arbitraryLagrangian-Eulerian formulation to map the governing equations to a fixedreference domain. The approximation is made stable by a discretization of askew-symmetric formulation of the problem. We prove that the discreteapproximation is stable, conservative and, for constant coefficient problems,maintains the free-stream preservation property. We also provide details on howto add the new skew-symmetric ALE approximation to an existing discontinuousGalerkin spectral element code. Lastly, we provide numerical support of thetheoretical results.

A Provably Stable Discontinuous Galerkin Spectral Element Approximation for Moving Hexahedral Meshes