Numerical study on the transformation of an internal solitary wave propagating across a vertical cylinder

Cheng, Ming-Hung; Hwang, Robert R.; Hsieh, Chih-Min

doi:10.1016/j.apor.2019.102016

Cited by 16 publications

(2 citation statements)

References 24 publications

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“…For example, Hsieh et al (2014) investigated the flow evolution of a depression ISW generated by the gravity collapse mechanism. Cheng et al (2020) studied the interaction between ISWs and a cylinder using the gravity collapse mechanism. The initialisation method involves solving the internal solitary wave theory at the initial moment, such as the Korteweg-de Vries (KdV) equation (Grimshaw et al, 2010), the modified KdV (mKdV) equation, the extended KdV (eKdV) equation, the forced KdV equation, the Ostrovsky equation (Li and Farmer, 2011), the Miyata-Choi-Camassa (MCC) model (Miyata, 1985(Miyata, , 1988Choi and Camassa, 1999) and the Dubreil-Jacotin-Long (DJL) equation (Long, 1953;Turkington, 1991;Brown and Christie, 1998;Dunphy et al, 2011), to obtain the wave surface and velocity field.…”

Section: Initialised Field Of Isw Generationmentioning

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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Section: Initialised Field Of Isw Generationmentioning

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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“…For example, Hsieh et al (2014) investigated the flow evolution of a depression ISW generated by the gravity collapse mechanism. Cheng et al (2020) studied the interaction between ISWs and a cylinder using the gravity collapse mechanism. The initialization method involves solving the internal solitary wave theory at the initial moment, such as the Korteweg-de Vries (KdV) equation (Grimshaw et al, 2010), the modified KdV (mKdV) equation, the extended KdV (eKdV) equation, the forced KdV equation, the Ostrovsky equation (Li and Farmer, 2011), the Miyata-Choi-Camassa (MCC) model (Miyata 1985 andChoi and Camassa, 1999), and the Dubreil-Jacotin-Long (DJL) equation (Long, 1953;Turkington, 1991;Brown and Christie, 1997;Dunphy et al, 2011), to obtain the wave surface, velocity field.…”

Section: Initialized Field Of Isw Generationmentioning

confidence: 99%

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

Zhang

Chen

2021

Preprint

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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 accordingly 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, considering the accuracy and computing efficiency, the appropriate grid size of the ISW simulation is recommended to be one-one hundred and fiftieth of the characteristic length and one-twenty fifth 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 accurately simulate the generation and evolution of ISWs, the ISW breaking phenomenon and the interaction between ISWs and complex structures and topography.

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Deformation and Stress Analysis of the Deepwater Steel Lazy Wave Riser Subjected to Internal Solitary Waves

Guo

et al. 2023

J. Ocean Univ. China

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Numerical study on the transformation of an internal solitary wave propagating across a vertical cylinder

Cited by 16 publications

References 24 publications

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

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

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

Deformation and Stress Analysis of the Deepwater Steel Lazy Wave Riser Subjected to Internal Solitary Waves

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