A High-Order Finite Difference Incompressible Navier-Stokes model for Water Waves and Wave-Structure Interaction

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

26 Downloads (Pure)

Abstract

We propose a new high-order1 finite difference numerical model for the simulation of nonlinear water waves and wave-structure interaction with fixed structures using the Navier-Stokes equations. The complete formulation is described in three spatial dimensions (3D) and preliminary validation results are here presented for two spatial dimensions (2D). A spatially fixed computational domain is defined through introducing a σ-coordinate that transform the Navier–Stokes equations long the vertical dimension from the sea bed to the still water level. Numerical experiments highlights both the correctness of the solution, the high-order convergence property that is attractive for efficient solutions as well as the classical benchmark problem due to Beji & Battjes (1994) where experimental measurements are available and hence serve as validation of the new high-order numerical scheme.
Original languageEnglish
Title of host publicationProceedings of the 39th International Workshop on Water Waves and Floating Bodies
Number of pages4
PublisherIWWWFB
Publication date2024
Publication statusPublished - 2024
EventThe 39th International Workshop on Water Waves and Floating Bodies - St. Andrews, United Kingdom
Duration: 14 Apr 202417 Apr 2024
https://sites.dundee.ac.uk/iwwwfb2024/

Conference

ConferenceThe 39th International Workshop on Water Waves and Floating Bodies
Country/TerritoryUnited Kingdom
CitySt. Andrews
Period14/04/202417/04/2024
Internet address

Fingerprint

Dive into the research topics of 'A High-Order Finite Difference Incompressible Navier-Stokes model for Water Waves and Wave-Structure Interaction'. Together they form a unique fingerprint.

Cite this