Dispersive wave runup on non-uniform shores

Denys Dutykh; Theodoros Katsaounis; Dimitrios Mitsotakis

doi:10.1007/978-3-642-20671-9_41

Dispersive wave runup on non-uniform shores

Denys Dutykh
, Theodoros Katsaounis
, Dimitrios Mitsotakis

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

Historically the finite volume methods have been developed for the numerical integration of conservation laws. In this study we present some recent results on the application of such schemes to dispersive PDEs. Namely, we solve numerically a representative of Boussinesq type equations in view of important applications to the coastal hydrodynamics. Numerical results of the runup of a moderate wave onto a non-uniform beach are presented along with great lines of the employed numerical method (see D. Dutykh et al. (2011) [6] for more details).

Original language	British English
Pages (from-to)	389-397
Number of pages	9
Journal	Springer Proceedings in Mathematics
Volume	4
DOIs	https://doi.org/10.1007/978-3-642-20671-9_41
State	Published - 2011

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 14 Life Below Water

Keywords

Boussinesq equations
dispersive wave
runup
shallow water

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10.1007/978-3-642-20671-9_41

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title = "Dispersive wave runup on non-uniform shores",

abstract = "Historically the finite volume methods have been developed for the numerical integration of conservation laws. In this study we present some recent results on the application of such schemes to dispersive PDEs. Namely, we solve numerically a representative of Boussinesq type equations in view of important applications to the coastal hydrodynamics. Numerical results of the runup of a moderate wave onto a non-uniform beach are presented along with great lines of the employed numerical method (see D. Dutykh et al. (2011) [6] for more details).",

keywords = "Boussinesq equations, dispersive wave, runup, shallow water",

author = "Denys Dutykh and Theodoros Katsaounis and Dimitrios Mitsotakis",

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year = "2011",

doi = "10.1007/978-3-642-20671-9\_41",

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AU - Dutykh, Denys

AU - Katsaounis, Theodoros

AU - Mitsotakis, Dimitrios

N1 - Funding Information: D. Dutykh acknowledges the support from French Agence Nationale de la Recherche, project MathOcean (Grant ANR-08-BLAN-0301-01) and Ulysses Program of the French Ministry of Foreign Affairs under the project 23725ZA. The work of Th. Katsaounis was partially supported by European Union FP7 program Capacities(Regpot 2009-1), through ACMAC (http://acmac.tem.uoc.gr).

PY - 2011

Y1 - 2011

N2 - Historically the finite volume methods have been developed for the numerical integration of conservation laws. In this study we present some recent results on the application of such schemes to dispersive PDEs. Namely, we solve numerically a representative of Boussinesq type equations in view of important applications to the coastal hydrodynamics. Numerical results of the runup of a moderate wave onto a non-uniform beach are presented along with great lines of the employed numerical method (see D. Dutykh et al. (2011) [6] for more details).

AB - Historically the finite volume methods have been developed for the numerical integration of conservation laws. In this study we present some recent results on the application of such schemes to dispersive PDEs. Namely, we solve numerically a representative of Boussinesq type equations in view of important applications to the coastal hydrodynamics. Numerical results of the runup of a moderate wave onto a non-uniform beach are presented along with great lines of the employed numerical method (see D. Dutykh et al. (2011) [6] for more details).

KW - Boussinesq equations

KW - dispersive wave

KW - runup

KW - shallow water

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DO - 10.1007/978-3-642-20671-9_41

M3 - Article

AN - SCOPUS:84904092383

SN - 2190-5614

VL - 4

SP - 389

EP - 397

JO - Springer Proceedings in Mathematics

JF - Springer Proceedings in Mathematics

ER -

Dispersive wave runup on non-uniform shores

Abstract

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Keywords

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