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

In this paper we derive and analyse efficient and stable numerical methodsfor accurate numerical simulations of nonlinear dynamic shear ruptures onnon-planar faults embedded in 3D elastic solids using dual-paring (DP)summation by parts (SBP) finite difference (FD) methods. Specifically, fornonlinear dynamic earthquake ruptures, we demonstrate that the DP SBP FDoperators [K. Mattsson. J. Comput. Phys., 335:283-310, 2017] generate spuriouscatastrophic high frequency wave modes that do not diminish with meshrefinement. Meanwhile our new dispersion relation preserving (DRP) SBP FDoperators [C. Williams and K Duru, arXiv:2110.04957, 2021] have more accuratenumerical dispersion relation properties and do not support poisonous spurioushigh frequency wave modes. Numerical simulations are performed in 3D withgeometrically complex fault surfaces verifying the efficacy of the method. Ourmethod accurately reproduces community developed dynamic rupture benchmarkproblems, proposed by Southern California Earthquake Center, with lesscomputational effort than standard methods based on traditional SBP FDoperators.

Accurate simulations of nonlinear dynamic shear ruptures on pre-existing faults in 3D elastic solids with dual-pairing SBP methods