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

Li, Jingyuan; Zhang, Qing He; Chen, Tongqing

doi:10.5194/gmd-15-105-2022

Cited by 11 publications

(5 citation statements)

References 61 publications

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“…Altitude difference integration is then performed for Equation (17); using the top layer p T ≡ p T as a constant, we can find p, which is "each layer 'static force' weight". Then, suppose p = p p , ∂ ln p ∂z can be found.…”

Section: Terrain-following Vertical Coordinates and Horizontal Pressu...mentioning

confidence: 99%

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Spline Model: A Hydrostatic/Non-Hydrostatic Dynamic Core with Space-Time Second-Order Precision and Its Exact Tests

Gu,

Wang,

Guo

2024

Atmosphere

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We present a new explicit quasi-Lagrangian integration scheme with the three-dimensional cubic spline function transform (transform = fitting + interpolation, referred to as the “spline format”) on a spherical quasi-uniform longitude–latitude grid. It is a consistent longitude–latitude grid, and to verify the feasibility, accuracy, convergence, and stability of the spline format interpolation scheme for the upstream point on the longitude–latitude grid, which may map a quasi-uniform longitude–latitude grid, a set of ideal, exact test schemes is adopted, which are recognized and proven to be effective internationally. The equilibrium flow test, cross-polar flow test, and Rossby–Haurwitz wave test are used to illustrate the spline scheme uniformity to the linear scheme and to overcome the over-dense grid in the polar region and the non-singularity of the poles. The cross-polar flow test demonstrates that the geostrophic wind crosses the polar area correctly, including the South Pole and North Pole. A non-hydrostatic, fully compressible dynamic core is used to complete the density flow test, demonstrating the existence of a time-varying reference atmosphere and that the spline format can simulate highly nonlinear fine-scale transient flows. It can be compared for the two results of the density flow test between the solution with the spline format and the benchmark reference solution with the linear format. Based on the findings, the non-hydrostatic dynamic core with the spline format is recommended for adoption. When simulated for the flow over an ideal mountain, through the “topographic gravity wave test”, the bicubic surface terrain and terrain-following height coordinates, time-split integration, and vector discrete decomposition can be derived successfully. These may serve as the foundations for a global, unified spline-format numerical model in the future.

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Section: Terrain-following Vertical Coordinates and Horizontal Pressu...mentioning

confidence: 99%

“…Let, in layers, the model coordinate height be Z. For the gravity balance Equation (17), the static geopotential height of each layer can be found through pressure difference ( p s → p ) integration from the bottom of the model upwards:…”

Section: Hydrostatic Vertical Displacement Calculationmentioning

confidence: 99%

Spline Model: A Hydrostatic/Non-Hydrostatic Dynamic Core with Space-Time Second-Order Precision and Its Exact Tests

Gu,

Wang,

Guo

2024

Atmosphere

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“…They provided comparisons between several theoretical solutions and the numerical results. Li et al [19] simulated three-dimensional internal solitary waves using Internal Solitary Wave Open Foam (ISWFoam). They compared the numerical results of ISWFoam with laboratory results such as the ISW profile and the wave breaking location and found good similarity concluding that ISWFoam could effectively simulate the ISW breaking phenomenon and the interaction between ISWs and a complex topography.…”

Section: Introductionmentioning

confidence: 99%

Shoaling Internal Solitary Waves and the Formation of Boluses

Enayati,

Helenbrook

2024

OJFD

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An internal solitary wave of elevation in a two-layer density stratified system of an incompressible, viscous and homogeneous fluid was studied. The run-up of a wave of elevation encountering different slopes was investigated numerically based on solving the continuity, Navier-Stokes and convective-diffusion equations within the Boussinesq approximation. The commercial software COMSOL Multiphysics was used to conduct the numerical simulations. For gradual shoals, a bolus formed that transported dense fluid up the shoal. The bolus disappeared when it reached its maximum height on the slope due to the draining of the dense fluid. Various shoal angles were simulated to detect the critical angle above which a bolus does not form. An angle of 30˚ or less resulted in the formation of a bolus. In addition, the simulations demonstrated that the size of the bolus induced by shallower slopes was larger and that the vertical height traveled by the bolus was insensitive to the slope of the shoal.

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“…In this research, the velocity fields of the fluids were derived from eKdV and the submarine speed. The above solutions were applied to initialize the flow field in a numerical wave tank based on the open-source code, Open Field Operation and Manipulation (OpenFOAM), and the third-party software packages ISWFoam [14]. Using the proposed numerical method, the interaction of ISWs and the moving submarine was studied.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Internal Solitary Wave Forces on a Moving Submarine

Xie

Zhang

et al. 2022

JMSE

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A numerical model is developed to investigate the hydrodynamic characteristics of a moving submarine induced by internal solitary waves (ISWs) in continuously stratified fluids. A new numerical scheme for the generation of ISWs with a current is proposed, in which the forward speed of the submarine is equivalent to the current. The superposition of the velocity field obtained from extended Korteweg-de Vires (eKdV) theory and the velocity field of the current is taken as the initial velocity field in a numerical wave tank. Convergence analysis is conducted, while the present numerical model is validated by comparing it with experimental data. Then, the interaction between the moving submarine and the ISWs against different pycnocline thicknesses and different moving speeds is investigated. The proposed numerical model can produce accurate ISWs coupled with a current. It can be found that the hydrodynamic forces on the submarine decrease with the increment of pycnocline thickness. The moving speed of the submarine performs a significant effect on the horizontal force, but a light effect on the vertical forces and the torque. It is also found that the forces on the moving submarine cannot be considered as the linear superposition of the navigation resistance in still water and the forces induced by ISWs.

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

Cited by 11 publications

References 61 publications

Spline Model: A Hydrostatic/Non-Hydrostatic Dynamic Core with Space-Time Second-Order Precision and Its Exact Tests

Spline Model: A Hydrostatic/Non-Hydrostatic Dynamic Core with Space-Time Second-Order Precision and Its Exact Tests

Shoaling Internal Solitary Waves and the Formation of Boluses

Numerical Investigation of Internal Solitary Wave Forces on a Moving Submarine

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