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A Depth‐Averaged Description of Submarine Avalanche Flows and Induced Surface Waves

Sun, W. ; Meng, X. ; Wang, Y. ; Hsiau, S. S. ; You, Z. (2023)
A Depth‐Averaged Description of Submarine Avalanche Flows and Induced Surface Waves.
In: Journal of Geophysical Research: Earth Surface, 2023, 128 (4)
doi: 10.26083/tuprints-00023726
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Item Type: Article
Type of entry: Secondary publication
Title: A Depth‐Averaged Description of Submarine Avalanche Flows and Induced Surface Waves
Language: English
Date: 24 November 2023
Place of Publication: Darmstadt
Year of primary publication: 2023
Place of primary publication: Hoboken
Publisher: Wiley
Journal or Publication Title: Journal of Geophysical Research: Earth Surface
Volume of the journal: 128
Issue Number: 4
Collation: 32 Seiten
DOI: 10.26083/tuprints-00023726
Corresponding Links:
Origin: Secondary publication DeepGreen
Abstract:

This paper develops a depth‐averaged theory to investigate submarine landslides and resulting water waves. The problems here consist of a pure fluid regime and a mixture regime of grains and fluid. Both regimes separate from one another by an interface, which is a material surface for grains. While the downslope velocities of the both phases are assumed to be identical in the mixture regime, the velocity shear causes a rearrangement of grains, which induces a vertical relative motion between the phases. The established theory consists of five coupled conservation equations, which describe the evolution of the pure fluid thickness, the mixture thickness, the solids volume fraction, and depth‐averaged velocities. To handle nonconservative products emerging in the equations, a new coordinate system is introduced to rewrite the equation system in an equivalent form, so that numerical solutions are insensitive to the choice of discretization of nonconservative products, which enables us to accurately characterize the dynamic behaviors of particles in the collapse experiments of underwater particles and describe free‐surface wave profiles. It is shown that the computed results are in good agreement with the experiments reported in previous literatures.

Alternative Abstract:
Alternative AbstractLanguage

Developing an accurate and rigorous model to describe the motion of submarine landslides and the evolution of the induced water wave remains a challenge to date. Existing models usually simplify the submarine mass as a sling box or a deformable rheological material which is unable to interpret certain fast-moving and some slow-moving granular flows that differ only in their compactness. In this paper, the existing models are improved by taking account of the dilatancy effects of the particles. Numerical results of underwater granular collapse show that the predictions of the temporal evolution of the thickness profiles and the final deposit morphology using the current model are in better agreement with experiments compared to the existing models. The present model also provides a better prediction in the wave profiles induced by submarine landslides, which makes the present theory very promising to investigate natural geophysical flows in the future

English
Uncontrolled Keywords: submarine landslides, granular dilatancy, depth‐averaged theory, nonoscillatory central‐upwind scheme, free surface wave flow
Identification Number: e2022JF006893
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-237263
Classification DDC: 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Date Deposited: 24 Nov 2023 14:02
Last Modified: 28 Nov 2023 11:37
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/23726
PPN: 513488030
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