An efficient and robust tsunami model on unstructured grids. Part I: Inundation benchmarks

Yinglong J. Zhang, Antonio Baptista

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

A modern multi-purpose baroclinic circulation model (SELFE) has been recently extended to include the ability to simulate tsunami propagation and inundation. The core model is based on the 3-D nonlinear shallow-water wave (NSW) equations, which are solved on unstructured grids, using the finite-element method. A semi-implicit method is used to solve all equations to enhance numerical stability, thus bypassing the most stringent CFL restriction on the time step. Further aided algorithmically by an Eulerian-Lagrangian solution of the advection terms in the momentum equation and by a simple yet effective inundation algorithm, SELFE is very efficient and robust in both quasi-2-D (with two vertical layers) and 3-D modes. A quasi-2-D version of the model is being used to update and expand the characterization of tsunami hazards along the Oregon coast. As a part of a rigorous testing procedure that includes multiple types of coastal problems, we present in this paper a quantitative assessment of performance of the quasi-2-D SELFE for two challenging open benchmark problems proposed in the 3rd International Workshop on Long-wave Runup Models. Satisfactory results are obtained for both problems.

Original languageEnglish (US)
Pages (from-to)2229-2248
Number of pages20
JournalPure and Applied Geophysics
Volume165
Issue number11-12
DOIs
StatePublished - 2008

Fingerprint

Tsunamis
tsunami
numerical stability
wave runup
water waves
shallow-water equation
water wave
Convergence of numerical methods
Water waves
Advection
wave equation
shallow water
Wave equations
advection
planetary waves
coasts
hazards
finite element method
wave equations
Coastal zones

Keywords

  • Cross-scale modeling
  • Eulerian-Lagrangian Method
  • Finite elements
  • Semi-implicit model
  • Tsunami inundation

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics

Cite this

An efficient and robust tsunami model on unstructured grids. Part I : Inundation benchmarks. / Zhang, Yinglong J.; Baptista, Antonio.

In: Pure and Applied Geophysics, Vol. 165, No. 11-12, 2008, p. 2229-2248.

Research output: Contribution to journalArticle

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