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  1. 防災科研関係論文

A numerical shallow-water model for gravity currents for a wide range of density differences

https://nied-repo.bosai.go.jp/records/3129
https://nied-repo.bosai.go.jp/records/3129
c1094cb9-22e1-478f-a559-26dbdd09fee1
Item type researchmap(1)
公開日 2023-03-30
タイトル
言語 en
タイトル A numerical shallow-water model for gravity currents for a wide range of density differences
言語
言語 eng
著者 Hiroyuki A. Shimizu

× Hiroyuki A. Shimizu

en Hiroyuki A. Shimizu

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Takehiro Koyaguchi

× Takehiro Koyaguchi

en Takehiro Koyaguchi

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Yujiro J. Suzuki

× Yujiro J. Suzuki

en Yujiro J. Suzuki

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抄録
内容記述タイプ Other
内容記述 Gravity currents with various contrasting densities play a role in mass transport in a number of geophysical situations. The ratio of the density of the current, ρ c , to the density of the ambient fluid, ρ a , can vary between 10 0 and 10 3 . In this paper, we present a numerical method of simulating gravity currents for a wide range of ρ c /ρ a using a shallow-water model. In the model, the effects of varying ρ c /ρ a are taken into account via the front condition (i.e., factors describing the balance between the driving pressure and the ambient resistance pressure at the flow front). Previously, two types of numerical models have been proposed to solve the front condition. These are referred to here as the Boundary Condition (BC) model and the Artificial Bed (AB) model. The front condition is calculated as a boundary condition at each time step in the BC model, whereas it is calculated by setting a thin artificial bed ahead of the front in the AB model. We assessed the BC and AB models by comparing their numerical results with the analytical results for a simple case of homogeneous currents. The results from the BC model agree well with the analytical results when ρ c /ρ a ? 10 2 , but the model tends to overestimate the speed of the front position when ρ c /ρ a ? 10 2 . In contrast, the AB model generates good approximations of the analytical results for ρ c /ρ a ? 10 2 , given a sufficiently small artificial bed thickness, but fails to reproduce the analytical results when ρ c /ρ a ? 10 2 . Therefore, we propose a numerical method in which the BC model is used for currents with ρ c /ρ a ? 10 2 and the AB model is used for currents with ρ c /ρ a ? 10 2 .
言語 en
書誌情報 en : Progress in Earth and Planetary Science

巻 4, 号 1, p. 8, 発行日 2017-03
出版者
言語 en
出版者 SpringerOpen
ISSN
収録物識別子タイプ EISSN
収録物識別子 2197-4284
DOI
関連識別子 10.1186/s40645-017-0120-2
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