Simulation of the Propagation of Tsunamis in Coastal Regions by a Two-Dimensional Non-Hydrostatic Shallow Water Solver

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Abstract

Due to the enormous damages and losses of human lives in the inundated regions,the simulation of the propagation of tsunamis in coastal areas has received anincreasing interest of the researchers. We present a 2D depth-integrated, non-hydrostatic shallow waters solver to simulate the propagation of tsunamis,solitary waves and surges in coastal regions. We write the governing continuityand momentum equations in conservative form and discretize the domain withunstructured triangular Generalized Delaunay meshes. We apply a fractional-time-step procedure, where two problems (steps) are consecutively solved. In thefirst and in the second step, we hypothesize a hydrostatic and a non-hydrostaticdistribution of the pressure, respectively. Several literature models, which solvethe same set of equations, are based on a fractional-time-step procedure. Inthe hydrostatic step of these literature solvers, the flow field does not satisfythe depth-integrated continuity equation, since the momentum equations aresolved independently of the continuity equation. In both steps of the proposednumerical scheme, the computed flow field satisfies the depth-integratedcontinuity equation discretized in each computational cell. This is obtained bysolving together the governing equations, according to the different numericalprocedures adopted in the steps of the algorithm. Wet/dry problems areimplicitly embedded in the proposed numerical solver. We present several modelapplications where analytical or measured reference solutions are available. Thecomputational effort required by the proposed procedure is investigated.
Lingua originaleEnglish
Numero di pagine20
RivistaDefault journal
Stato di pubblicazionePublished - 2017

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tsunami
shallow water
simulation
hydrostatics
flow field
momentum
solitary wave
damage

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@article{ab20425547c847dfa49f7e789b585183,
title = "Simulation of the Propagation of Tsunamis in Coastal Regions by a Two-Dimensional Non-Hydrostatic Shallow Water Solver",
abstract = "Due to the enormous damages and losses of human lives in the inundated regions,the simulation of the propagation of tsunamis in coastal areas has received anincreasing interest of the researchers. We present a 2D depth-integrated, non-hydrostatic shallow waters solver to simulate the propagation of tsunamis,solitary waves and surges in coastal regions. We write the governing continuityand momentum equations in conservative form and discretize the domain withunstructured triangular Generalized Delaunay meshes. We apply a fractional-time-step procedure, where two problems (steps) are consecutively solved. In thefirst and in the second step, we hypothesize a hydrostatic and a non-hydrostaticdistribution of the pressure, respectively. Several literature models, which solvethe same set of equations, are based on a fractional-time-step procedure. Inthe hydrostatic step of these literature solvers, the flow field does not satisfythe depth-integrated continuity equation, since the momentum equations aresolved independently of the continuity equation. In both steps of the proposednumerical scheme, the computed flow field satisfies the depth-integratedcontinuity equation discretized in each computational cell. This is obtained bysolving together the governing equations, according to the different numericalprocedures adopted in the steps of the algorithm. Wet/dry problems areimplicitly embedded in the proposed numerical solver. We present several modelapplications where analytical or measured reference solutions are available. Thecomputational effort required by the proposed procedure is investigated.",
author = "Costanza Arico'",
year = "2017",
language = "English",
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TY - JOUR

T1 - Simulation of the Propagation of Tsunamis in Coastal Regions by a Two-Dimensional Non-Hydrostatic Shallow Water Solver

AU - Arico', Costanza

PY - 2017

Y1 - 2017

N2 - Due to the enormous damages and losses of human lives in the inundated regions,the simulation of the propagation of tsunamis in coastal areas has received anincreasing interest of the researchers. We present a 2D depth-integrated, non-hydrostatic shallow waters solver to simulate the propagation of tsunamis,solitary waves and surges in coastal regions. We write the governing continuityand momentum equations in conservative form and discretize the domain withunstructured triangular Generalized Delaunay meshes. We apply a fractional-time-step procedure, where two problems (steps) are consecutively solved. In thefirst and in the second step, we hypothesize a hydrostatic and a non-hydrostaticdistribution of the pressure, respectively. Several literature models, which solvethe same set of equations, are based on a fractional-time-step procedure. Inthe hydrostatic step of these literature solvers, the flow field does not satisfythe depth-integrated continuity equation, since the momentum equations aresolved independently of the continuity equation. In both steps of the proposednumerical scheme, the computed flow field satisfies the depth-integratedcontinuity equation discretized in each computational cell. This is obtained bysolving together the governing equations, according to the different numericalprocedures adopted in the steps of the algorithm. Wet/dry problems areimplicitly embedded in the proposed numerical solver. We present several modelapplications where analytical or measured reference solutions are available. Thecomputational effort required by the proposed procedure is investigated.

AB - Due to the enormous damages and losses of human lives in the inundated regions,the simulation of the propagation of tsunamis in coastal areas has received anincreasing interest of the researchers. We present a 2D depth-integrated, non-hydrostatic shallow waters solver to simulate the propagation of tsunamis,solitary waves and surges in coastal regions. We write the governing continuityand momentum equations in conservative form and discretize the domain withunstructured triangular Generalized Delaunay meshes. We apply a fractional-time-step procedure, where two problems (steps) are consecutively solved. In thefirst and in the second step, we hypothesize a hydrostatic and a non-hydrostaticdistribution of the pressure, respectively. Several literature models, which solvethe same set of equations, are based on a fractional-time-step procedure. Inthe hydrostatic step of these literature solvers, the flow field does not satisfythe depth-integrated continuity equation, since the momentum equations aresolved independently of the continuity equation. In both steps of the proposednumerical scheme, the computed flow field satisfies the depth-integratedcontinuity equation discretized in each computational cell. This is obtained bysolving together the governing equations, according to the different numericalprocedures adopted in the steps of the algorithm. Wet/dry problems areimplicitly embedded in the proposed numerical solver. We present several modelapplications where analytical or measured reference solutions are available. Thecomputational effort required by the proposed procedure is investigated.

UR - http://hdl.handle.net/10447/250101

M3 - Article

JO - Default journal

JF - Default journal

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