Dispersive wave runup on non-uniform shores

Denys Dutykh*, Theodoros Katsaounis, Dimitrios Mitsotakis

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


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 languageEnglish (US)
Pages (from-to)389-397
Number of pages9
JournalSpringer Proceedings in Mathematics
StatePublished - 2011
Externally publishedYes

Bibliographical note

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).


  • Boussinesq equations
  • dispersive wave
  • runup
  • shallow water

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics, Probability and Uncertainty


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