Fast integral equation methods for fully nonlinear water wave modeling

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Abstract

We present the development and validation of an efficient numerical wave tank (NWT), which solves for fully nonlinear potential flow in three dimensions. This boundary element approach is based on a variation of the wave model of Grilli et al., which has been well validated. The mixed Eulerian-Lagrangian time updating is based on a second-order Taylor series expansion. In order to solve problems with complex geometries, we reformulate the model to use a 3D unstructured triangular mesh of the boundaries, and apply the fast multipole method implementation, ExaFMM, in parallel, to make the use of large grids practical. We demonstrate the various issues related to performance, comparing against the existing higher-order boundary element NWT on a structured mesh, as well as demonstrating the capabilities of this modified approach.

Original languageEnglish
Title of host publicationProceedings of the 24th International Ocean and Polar Engineering Conference, ISOPE Busan
PublisherInternational Society of Offshore and Polar Engineers
Pages583-590
Number of pages8
ISBN (Print)9781880653913
Publication statusPublished - 1 Jan 2014
Externally publishedYes
Event24th International Ocean and Polar Engineering Conference, ISOPE 2014 Busan - Busan, Korea, Republic of
Duration: 15 Jun 201420 Jun 2014

Publication series

NameProceedings of the International Offshore and Polar Engineering Conference
ISSN (Print)1098-6189
ISSN (Electronic)1555-1792

Conference

Conference24th International Ocean and Polar Engineering Conference, ISOPE 2014 Busan
Country/TerritoryKorea, Republic of
CityBusan
Period15/06/1420/06/14

Keywords

  • Fast multipole method
  • Numerical wave tank
  • Parallel processing

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