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Title: Coupling methods between finite element-based Boussinesq-type wave and particle-based free-surface flow models [Coupling methods between finite element-based Boussinesq-typewave and particle-based free-surface flow models]

Abstract

Summary 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.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [3];  [1]
  1. Univ. of Tokyo (Japan). Dept. of Systems Innovations
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Physical and Life Sciences Directorate
  3. Univ. of Notre Dame, IN (United States). Dept. of Civil & Environmental Engineering & Earth Sciences
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1468905
Alternate Identifier(s):
OSTI ID: 1455072
Report Number(s):
LLNL-JRNL-738013
Journal ID: ISSN 0271-2091; 891221
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
International Journal for Numerical Methods in Fluids
Additional Journal Information:
Journal Volume: 88; Journal Issue: 3; Journal ID: ISSN 0271-2091
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING

Citation Formats

Mitsume, Naoto, Donahue, Aaron S., Westerink, Joannes J., and Yoshimura, Shinobu. Coupling methods between finite element-based Boussinesq-type wave and particle-based free-surface flow models [Coupling methods between finite element-based Boussinesq-typewave and particle-based free-surface flow models]. United States: N. p., 2018. Web. doi:10.1002/fld.4516.
Mitsume, Naoto, Donahue, Aaron S., Westerink, Joannes J., & Yoshimura, Shinobu. Coupling methods between finite element-based Boussinesq-type wave and particle-based free-surface flow models [Coupling methods between finite element-based Boussinesq-typewave and particle-based free-surface flow models]. United States. https://doi.org/10.1002/fld.4516
Mitsume, Naoto, Donahue, Aaron S., Westerink, Joannes J., and Yoshimura, Shinobu. Thu . "Coupling methods between finite element-based Boussinesq-type wave and particle-based free-surface flow models [Coupling methods between finite element-based Boussinesq-typewave and particle-based free-surface flow models]". United States. https://doi.org/10.1002/fld.4516. https://www.osti.gov/servlets/purl/1468905.
@article{osti_1468905,
title = {Coupling methods between finite element-based Boussinesq-type wave and particle-based free-surface flow models [Coupling methods between finite element-based Boussinesq-typewave and particle-based free-surface flow models]},
author = {Mitsume, Naoto and Donahue, Aaron S. and Westerink, Joannes J. and Yoshimura, Shinobu},
abstractNote = {Summary 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.},
doi = {10.1002/fld.4516},
journal = {International Journal for Numerical Methods in Fluids},
number = 3,
volume = 88,
place = {United States},
year = {Thu May 31 00:00:00 EDT 2018},
month = {Thu May 31 00:00:00 EDT 2018}
}

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Figures / Tables:

Figure 1 Figure 1: Definitions of the nearest point between particle $i$ and polygon walls, $x^{wall}_{i}$ , and corresponding outward normal vector, $n^{wall}_{i}$

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