Szczegóły publikacji

Opis bibliograficzny

Shape grammar for modeling Earth's bathymetry and performing tsunami simulations / Paweł MACZUGA, Marcin ŁOŚ, Albert Oliver-Serra, Eirik Valseth, Anna Paszyńska, Maciej PASZYŃSKI // Journal of Computational Science ; ISSN  1877-7503 . — 2026 — vol. 96 art. no. 102847, s. 1-14. — Bibliogr. s. 14, Abstr. — Publikacja dostępna online od: 2026-03-18. — A. Paszyńska - afiliacja: Jagiellonian University, Krakow, Poland

Autorzy (6)

Słowa kluczowe

Earth bathymetrygeneralized α-schemeshallow water equationstriangular mesh generationtsunami simulationsshape grammars

Dane bibliometryczne

ID BaDAP167140
Data dodania do BaDAP2026-05-29
Tekst źródłowyURL
DOI10.1016/j.jocs.2026.102847
Rok publikacji2026
Typ publikacjiartykuł w czasopiśmie
Otwarty dostęptak
Czasopismo/seriaJournal of Computational Science

Abstract

We present a shape grammar for generating Earth’s bathymetry. The shape grammar uses just two productions to define the Kossaczky mesh-refinement algorithm. The algorithm is then recursively applied to the sphere, starting with a partition into eight elements. As a refinement criterion, we select elements where Earth’s bathymetry needs improvement, based on the Global Multi-Resolution Topography Data Synthesis. Given a computational mesh approximating Earth’s bathymetry, we adopt the long-wave approximation derived from the shallow-water equations under appropriate assumptions to obtain the nonlinear wave equation. The wave equation is subsequently approximated by finite elements in space, and in time, we employ the generalized- scheme. We present three numerical simulations. The first is the tsunami caused by an asteroid impact in the central North Atlantic Ocean. The second is the tsunami caused by the collapse of a volcano on the Canary Islands. The third is the simulation of the tsunami caused by the earthquake in the Valparaiso region of Chile. We also perform a verification of our shape grammar tsunami simulator.

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