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 an approach to simulate the 3D isotropic elastic wave propagationusing nonuniform finite difference discretization on staggered grids.Specifically, we consider simulation domains composed of layers of uniformgrids with different grid spacings, separated by nonconforming interfaces. Wedemonstrate that this layer-wise finite difference discretization has thepotential to significantly reduce the simulation cost, compared to its fullyuniform counterpart. Stability of such a discretization is achieved by usingspecially designed difference operators, which are variants of the standarddifference operators with adaptations near boundaries or interfaces, andpenalty terms, which are appended to the discretized wave system to weaklyimpose boundary or interface conditions. Combined with specially designedinterpolation operators, the discretized wave system is shown to preserve theenergy conserving property of the continuous elastic wave equation, and$\textit{a fortiori}$ ensure the stability of the simulation. Numericalexamples are presented to demonstrate the efficacy of the proposed simulationapproach.

Nonuniform 3D finite difference elastic wave simulation on staggered grids