On numerical methods for solving run-up problems. Comparative analysis of numerical algorithms and numerical results

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Abstract

The numerical simulation of the run-up of long surface waves on a plane slope is presented. Using a method based on the combination of the TVD scheme and the SPH method the shallow water approximation is applied to the solution of the well known model problem of a run-up of a wave approaching from an area of constant depth towards a plane slope. The numerical method has proved to be reliable and effective not only in the range of small amplitudes, but also outside of the theoretical limits of applicability of the shallow water theory, such as for the modelling of breaking waves. The qualitative and partially quantitative comparison with the results of numerical calculations of other authors are presented. The differences in the results caused by the differences in the numerical algorithms are highlighted.

Original languageEnglish
Title of host publicationECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
EditorsG. Stefanou, V. Papadopoulos, V. Plevris, M. Papadrakakis
PublisherNational Technical University of Athens
Pages1127-1138
Number of pages12
ISBN (Electronic)9786188284401
DOIs
Publication statusPublished - 2016
Event7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016 - Crete, Greece
Duration: 5 Jun 201610 Jun 2016

Publication series

NameECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational Methods in Applied Sciences and Engineering
Volume1

Conference

Conference7th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016
CountryGreece
CityCrete
Period05.06.201610.06.2016

Keywords

  • Numerical simulation
  • Run-up
  • Shallow water
  • Surface waves

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