Multiscale evaluation method of the drag effect on shallow water flow through coastal forests based on 3D numerical simulations

Reika Nomura, Shinsuke Takase, Shuji Moriguchi, Kenjiro Terada, Randall J. LeVeque

Research output: Contribution to journalArticlepeer-review

Abstract

This study presents a method for determining the drag parameter in the 2D shallow water (SW) equation for flows through a coastal forest by conducting a series of 3D numerical simulations (3D NSs). Following the theory of multiscale modeling, an evaluation method procedure is proposed. We first prepare a local test domain that contains a sufficient number of trees to constitute part of a coastal forest. Then, 3D NSs are conducted in this test domain with various inflow conditions. Based on the corresponding results, the momentum losses over the test domain are converted into the drag parameter of the global SW equation. A response surface of the drag parameter is constructed as a function of the flow conditions. The stabilized finite element method is employed for both the local and the global NSs, and the phase-field method is utilized to represent 3D free surfaces. Comparisons between the 2D SW calculation results and the 3D NS results are also performed to verify the validity of the proposed method.

Original languageEnglish
Pages (from-to)32-58
Number of pages27
JournalInternational Journal for Numerical Methods in Fluids
Volume94
Issue number1
DOIs
Publication statusPublished - 2022 Jan

Keywords

  • 3D numerical simulation
  • SUPG/PSPG method
  • coastal forests
  • drag effect
  • shallow water flow
  • tsunami

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

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