Coupling methods between finite element–based Boussinesq‐type wave and particle‐based free‐surface flow models

Abstract

We develop one‐way coupling methods between a Boussinesq‐type wave model based on the discontinuous Galerkin finite element method and a free‐surface flow model based on a mesh‐free particle method to strike a balance between accuracy and computational cost. In our proposed model, computation of the wave model in the global domain is conducted first, and the nonconstant velocity profiles in the vertical direction are reproduced by using its results. Computation of the free‐surface flow is performed in a local domain included within the global domain with interface boundaries that move along the reproduced velocity field in a Lagrangian fashion. To represent the moving interfaces, we used a polygon wall boundary model for mesh‐free particle methods. Verification and validation tests of our proposed model are performed, and results obtained by the model are compared with theoretical values and experimental results to show its accuracy and applicability.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jun 19, 2018
Source ID
10.1002/fld.4516

Entities

People

  • Aaron S. Donahue
  • Joannes J. Westerink
  • Naoto Mitsume
  • Shinobu Yoshimura

Organizations

  • Lawrence Livermore National Laboratory
  • National Science Foundation
  • Office of Naval Research
  • University of Notre Dame
  • University of Tokyo

Tags

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)