Year: 2025
Type: article
Abstract: Models and numerical methods of the impact of tsunamis on coastal forests are of vital importance for exploring the potential of coastal vegetation as a means of mitigation. Such a model is formulated as a multilayer shallow water system based on a free-surface formulation of the Euler equations for an ideal fluid. Specifically, the Euler equations are approximated by a layer averaged non-hydrostatic (LDNH) approach involving linear pressures and piecewise constant velocities. Furthermore, based on [Iimura and Tanaka, Ocean Eng. 54 (2012) 223–232] drag forces, inertia forces, and porosity are added to model the interaction with the forest. These ingredients are specified in a layer-wise manner. Thus, the vertical features of the forest are described with higher accuracy than within a single-layer approach. Projection methods for the non-hydrostatic pressure in conjunction with polynomial viscosity matrix finite volume methods [Castro and Fernández-Nieto, SIAM J. Sci. Comput. 34 (2012) A2173–A2196] are employed for the numerical solution of the multilayer model, that is for the propagation of tsunamis and coastal flooding. Experimental observations and field data are used to validate the model. In general good agreement is obtained.
Institutions: University of Concepción, Universidad de Sevilla
Language: English
Subfield: Civil and Structural Engineering
Field: Engineering
Domain: Physical Sciences
SDG: Climate action
Open Access status: green
Awards: G1197213904, G1507641020, G1746261311, G1902165130, G2079469327, G2091587161, G2475137278, G3350487818, G3929434435, G4206786294, G4649278195, G5026842276, NEW MODELS OF FLOTATION IN THE MINING INDUSTRY SIMULATION EXPERIMENTAL VALIDATION AND PREDICTION TOOLS FOR TREATMENT OF COMPLEX ORES UNDER WATER SCARCITY, G5180784637, G5620666436, G5650031767, G588429227, G7177034782, WATER RESEARCH CENTER FOR AGRICULTURE AND MINING (CRHIAM), CENTER FOR MATHEMATICAL MODELING (CMM), THEORY NUMERICS AND APPLICATIONS FOR SYSTEMS OF CONSERVATION LAWS CONVECTION-DIFFUSION-REACTION PROBLEMS AND COUPLED FLOW-TRANSPORT PROBLEMS, CENTRO DE RECURSOS HIDRICOS PARA LA AGRICULTURA Y MINERIA (CRHIAM)
OpenAlex ID: W6884565018
FWCI:
Cites:
Cited by:
Related to: