Boussinesq and non-Boussinesq gravity currents propagating on unbounded uniform slopes in the deceleration phase

Dai, Albert; Huang, Yong-Heng

doi:10.1017/jfm.2021.300

Cited by 5 publications

(3 citation statements)

References 45 publications

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“…In the last decades, gravity currents have been studied extensively by means of theoretical investigations, laboratory experiments, and numerical simulations. Most of these studies focused on gravity currents travelling along a flat, horizontal surface [2][3][4][5][6][7] or flowing over a sloping bottom [8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Lock-release gravity currents propagating over roughness elements

2022

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The influence of bottom roughness on the development of lock-release gravity currents is investigated through laboratory experiments using Particle Image Velocimetry. The bottom roughness is represented by arrays of vertical LEGO bricks with a constant spacing while varying $$\lambda $$ λ , the relative height of the roughness elements to the gravity current depth. Depending on $$\lambda $$ λ , the roughness elements may affect the gravity current propagation: for small $$\lambda $$ λ the current behaves like moving over a smooth bottom, while for larger $$\lambda $$ λ the propagation speed is reduced and the internal structure of the current, including both the head and the tail, is significantly modified. As $$\lambda $$ λ increases, stronger recirculation areas between the roughness elements develop interacting with the overlying layer and giving rise to small-scale vortical structures of opposite sign within the whole depth of the current. The additional drag force induced by the bottom roughness adds significant complexity to the flow dynamics and modifies the characteristics of the current.

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Section: Introductionmentioning

confidence: 99%

Lock-release gravity currents propagating over roughness elements

2022

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“…This model is valid to simulate propagation of long wave, like tsunami. Furthermore, for problems with shorter wavelengths can be simulated using the Boussinesq approximation (Dai & Huang, 2021;Wang et al, 2023)and non-hydrostatic wave model (He et al, 2020;Ma et al, 2022).…”

Section: Introductionmentioning

confidence: 99%

Two-Layer Shallow Water Equations with Momentum Conservative Scheme for Wave Propagation Simulation

Ginting,

Suandi,

Dani

2024

EMACS Journal

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In this paper, we discuss the implementation of momentum conservative scheme to shallow water equations (SWE). In shallow water model, the hydrodynamic pressure of the water is neglected. Here, the numerical calculation of mass and momentum conservation was applied on a staggered grid domain. The vertical interval was divided into two parts which made the computation quite efficient and accurate. Our focus is on the performance of the numerical scheme in simulating wave propagation and run-up phenomena, where the main challenge is to calculate the wave speed accurately and to count the non-linear term of the model. Here we also considered the wet and dry conditions of the topography. Three benchmark tests were picked out to validate the numerical scheme. A simulation of standing wave was carried out; the results were compared to the linear analytical solution and show a good fit. In addition, a simulation of harmonic wave propagation on a sloping beach was conducted, and the results closely align with the expected values from exact solution. Finally, we carried out a simulation of solitary wave with a sloping topography; and the results were compared to laboratory data. A good agreement was observed between the simulation results and experimental measurements.

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“…Since the dynamics of gravity currents are affected by the amount of the entrained ambient fluid, different studies have been focused on this issue (Nogueira et al, 2014;De Falco et al, 2020, 2021bOttolenghi et al, 2016b;Wilson et al, 2017;Zordan et al, 2018). Modeling of gravity currents mainly relies on classical studies made on uniform horizontal surfaces (Adduce et al, 2012;Ottolenghi et al, 2016a;Inghilesi et al, 2018;He et al, 2021) while the importance of the topographic features on the development of the density current has only recently been recognized (Dai, 2013;La Rocca et al, 2013;Cuthbertson et al, 2014Cuthbertson et al, , 2018Dai and Huang, 2021;Adduce et al, 2022;Maggi et al, 2022).…”

Section: Introductionmentioning

confidence: 99%