Numerical simulation of internal solitary wave—induced reverse flow and associated vortices in a shallow, two-layer fluid benthic boundary layer

Thiem, Øyvind; Carr, Magda; Berntsen, Jarle; Davies, Peter A.

doi:10.1007/s10236-011-0396-5

Cited by 11 publications

(19 citation statements)

References 41 publications

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“…In a re-computation of one of the experiments (labelled 20538), Thiem et al. (2011) increased the amplitude by 14 % and obtained instability. The parameters of the unstable wave were , , , while the stable wave measured in the experiments had , , fitting at each side of the predicted stability border of stratification 3 (figure 2 c ).…”

Section: Resultsmentioning

confidence: 99%

Calculation of internal-wave-driven instability and vortex shedding along a flat bottom

Ellevold

Grue

2023

J. Fluid Mech.

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The instability and vortex shedding in the bottom boundary layer caused by internal solitary waves of depression propagating along a shallow pycnocline of a fluid are computed by finite-volume code in two dimensions. The calculated transition to instability agrees very well with laboratory experiments (Carr et al., Phys. Fluids, vol. 20, issue 6, 2008, 06603) but disagrees with existing computations that give a very conservative instability threshold. The instability boundary expressed by the amplitude depends on the depth $d$ of the pycnocline divided by the water depth $H$ , and decays by a factor of 2.2 when $d/H$ is 0.21, and by a factor of 1.6 when $d/H$ is 0.16, and the stratification Reynolds number increases by a factor of 32. The instability occurs at moderate amplitude at large scale. The calculated oscillatory bed shear stress is strong in the wave phase and increases with the scale. Its non-dimensional magnitude at stratification Reynolds number 650 000 is comparable to the turbulent stress that can be extracted from field measurements of internal solitary waves of similar nonlinearity, moving along a pycnocline of similar relative depth.

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Section: Resultsmentioning

confidence: 99%

Calculation of internal-wave-driven instability and vortex shedding along a flat bottom

Ellevold

Grue

2023

J. Fluid Mech.

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“…[] and Thiem et al . [] compared simulations to experiments for the lock release problem and for solitary internal waves. Rygg et al .…”

Section: Setup and Forcing Of Bergen Ocean Modelmentioning

confidence: 99%

Simulating spatial and temporal varying CO₂ signals from sources at the seafloor to help designing risk‐based monitoring programs

et al. 2016

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Risk‐based monitoring requires quantification of the probability of the design to detect the potentially adverse events. A component in designing the monitoring program will be to predict the varying signal caused by an event, here detection of a gas seep through the seafloor from an unknown location. The Bergen Ocean Model (BOM) is used to simulate dispersion of CO2 leaking from different locations in the North Sea, focusing on temporal and spatial variability of the CO2 concentration. It is shown that the statistical footprint depends on seep location and that this will have to be accounted for in designing a network of sensors with highest probability of detecting a seep. As a consequence, heterogeneous probabilistic predictions of CO2 footprints should be available to subsea geological CO2 storage projects in order to meet regulations.

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“…Simmons et al (2004) employed the RHIMT model to carry out a global numerical simulation of tidal currents and analysed the whole process of the conversion rate of barotropic waves into baroclinic waves. Thiem (2011) used the Bergen Ocean Model to explore the bottom boundary-layer flow caused by waves beneath a propagating ISW in a two-fluid system. Li and Farmer (2011) employed the Ostrovsky-Hunter model to study the nonlinear evolution of a monochromatic internal wave.…”

Section: Introductionmentioning

confidence: 99%

ISWFoam: a numerical model for internal solitary wave simulation in continuously stratified fluids

Zhang

Chen

2022

Geosci. Model Dev.

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Abstract. A numerical model, ISWFoam, for simulating internal solitary waves (ISWs) in continuously stratified, incompressible, viscous fluids is developed based on a fully three-dimensional (3D) Navier–Stokes equation using the open-source code OpenFOAM®. This model combines the density transport equation with the Reynolds-averaged Navier–Stokes equation with the Coriolis force, and the model discrete equation adopts the finite-volume method. The k–ω SST turbulence model has also been modified according to the variable density field. ISWFoam provides two initial wave generation methods to generate an ISW in continuously stratified fluids, including solving the weakly nonlinear models of the extended Korteweg–de Vries (eKdV) equation and the fully nonlinear models of the Dubreil–Jacotin–Long (DJL) equation. Grid independence tests for ISWFoam are performed, and considering the accuracy and computing efficiency, the appropriate grid size of the ISW simulation is recommended to be 1/150th of the characteristic length and 1/25th of the ISW amplitude. Model verifications are conducted through comparisons between the simulated and experimental data for ISW propagation examples over a flat bottom section, including laboratory scale and actual ocean scale, a submerged triangular ridge, a Gaussian ridge, and slope. The laboratory test results, including the ISW profile, wave breaking location, ISW arrival time, and the spatial and temporal changes in the mixture region, are well reproduced by ISWFoam. The ISWFoam model with unstructured grids and local mesh refinement can effectively simulate the evolution of ISWs, the ISW breaking phenomenon, waveform inversion of ISWs, and the interaction between ISWs and complex topography.

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Numerical simulation of internal solitary wave—induced reverse flow and associated vortices in a shallow, two-layer fluid benthic boundary layer

Cited by 11 publications

References 41 publications

Calculation of internal-wave-driven instability and vortex shedding along a flat bottom

Calculation of internal-wave-driven instability and vortex shedding along a flat bottom

Simulating spatial and temporal varying CO₂ signals from sources at the seafloor to help designing risk‐based monitoring programs

ISWFoam: a numerical model for internal solitary wave simulation in continuously stratified fluids

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Numerical simulation of internal solitary wave—induced reverse flow and associated vortices in a shallow, two-layer fluid benthic boundary layer

Cited by 11 publications

References 41 publications

Calculation of internal-wave-driven instability and vortex shedding along a flat bottom

Calculation of internal-wave-driven instability and vortex shedding along a flat bottom

Simulating spatial and temporal varying CO2 signals from sources at the seafloor to help designing risk‐based monitoring programs

ISWFoam: a numerical model for internal solitary wave simulation in continuously stratified fluids

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Simulating spatial and temporal varying CO₂ signals from sources at the seafloor to help designing risk‐based monitoring programs