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

High order accurate and explicit time-stable solvers are well suited forhyperbolic wave propagation problems. As a result of the complexities of realgeometries, internal interfaces and nonlinear boundary and interfaceconditions, discontinuities and sharp wave fronts may become fundamentalfeatures of the solution. Thus, geometrically flexible and adaptive numericalalgorithms are critical for high fidelity and efficient simulations of wavephenomena in many applications. Adaptive curvilinear meshes hold promise tominimise the effort to represent complicated geometries or heterogeneousmaterial data avoiding the bottleneck of feature-preserving meshing. To enablethe design of stable DG methods on three space dimensional (3D) curvilinearelements we construct a structure preserving anti-symmetric coordinatetransformation motivated by the underlying physics. Using a physics-basednumerical penalty-flux, we develop a 3D provably energy-stable discontinuousGalerkin finite element approximation of the elastic wave equation ingeometrically complex and heterogenous media. By construction, our numericalflux is upwind and yields a discrete energy estimate analogous to thecontinuous energy estimate. The ability to treat conforming and non-conformingcurvilinear elements allows for flexible adaptive mesh refinement strategies.The numerical scheme has been implemented in ExaHyPE, a simulation engine forparallel dynamically adaptive simulations of wave problems on adaptiveCartesian meshes. We present 3D numerical experiments of wave propagation inheterogeneous isotropic and anisotropic elastic solids demonstrating stabilityand high order accuracy. We demonstrate the potential of our approach forcomputational seismology in a regional wave propagation scenario in ageologically constrained 3D model including the geometrically complexfree-surface topography of Mount Zugspitze, Germany.

A stable discontinuous Galerkin method for linear elastodynamics in 3D geometrically complex media using physics based numerical fluxes