A 3D unstructured non-hydrostatic ocean model for internal waves

Ai, Congfang; Ding, Weiye

doi:10.1007/s10236-016-0980-9

Cited by 14 publications

(5 citation statements)

References 36 publications

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“…The linearized source terms on the right-hand side of Equation (2) are integrated over a control volume. The SuperBee scheme is used to discretize the second term on the left-hand side of Equation (3) [30]. The pressure-velocity coupling term is solved by using the PIMPLE algorithm, which is a combination of the PISO algorithm and the SIMPLE algorithm.…”

Section: Methodsmentioning

confidence: 99%

3D Numerical Investigation of Forces and Flow Field around the Semi-Submersible Platform in An Internal Solitary Wave

Ding

Jin

et al. 2020

Water

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Characteristics of hydrodynamic forces and flow fields around the semi-submersible platform induced by the internal solitary wave (ISW) propagation were investigated in a 3D numerical wave tank. Good agreements between numerical results and experimental data of forces and torque on the platform were achieved. The hydrodynamic loads increased and decreased with the increases in the ISW amplitude and fluid depth ratio, respectively. The pressure mainly contributed to the force on the platform. The horizontal forces on bracings were negligible. Almost all the vertical forces on the platform were derived from those on pontoons. The horizontal force and torque on the platform increased with the increases in the angle between the platform symmetrical axis and the ISW propagation direction. The platform subjected the maximum vertical force when the angle was 0°. There were obvious velocity reductions around the platform during the ISW propagation, as visible vortexes shedding around the platform could be observed. Complexities of the distributions of flow fields around the platforms located at the 30°- and 60°-direction were greater than those around the platforms located at the 0°- and 90°-direction. Flow fields around the same kind components of each platform located at different angles were similar.

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Section: Methodsmentioning

confidence: 99%

3D Numerical Investigation of Forces and Flow Field around the Semi-Submersible Platform in An Internal Solitary Wave

Ding

Jin

et al. 2020

Water

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“…( 1) and ( 20)-( 22) are discretized by a finite difference-finite volume method and then the resulting equations are solved by an explicit projection method, which can be subdivided into two stages. The finite difference method (Ai et al, 2019;Asghar et al, 2020;Casulli, 1999) is widely used to solve partial differential equations based on a structured grid, while the finite volume method (Ai and Ding, 2016;Fringer et al, 2006) does not require a structured grid and is usually employed to get conservative schemes. In the proposed model, the finite volume method is only used to discretize the horizontal advection terms in Eqs.…”

Section: Physics Of Fluidsmentioning

confidence: 99%

“…Over the past two decades, many non-hydrostatic models have been developed to simulate open-channel flows (Lee et al, 2006;and Leupi et al, 2009); dispersive free-surface waves (Ai et al, 2011;Stelling and Zijlema, 2003;Wu et al, 2010;Young et al, 2009;Yuan and Wu, 2006;Zijlema and Stelling, 2005); and oceanic internal waves (Ai and Ding, 2016;Ai et al, 2021;Fringer, 2006;and Lai et al, 2010). Non-hydrostatic models also solve the NSE, but employ the free-surface equation to efficiently track the free-surface motion.…”

Section: Introductionmentioning

confidence: 99%

An efficient three-dimensional non-hydrostatic model for undular bores in open channels

Ding

et al. 2021

Physics of Fluids

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A three-dimensional (3D) non-hydrostatic model is presented to simulate open-channel free-surface flows involving undular bores. The 3D unsteady mass conservation and momentum equations are solved using an explicit projection method in a nonstandard staggered grid. The grid system is built from a two-dimensional horizontal structured grid by adding horizontal layers. The model is validated using four typical benchmark problems, including undular bore development, an undular bore generated by a sudden discharge, and two test cases involving undular hydraulic jumps. The proposed model results are compared with experimental data and results from other models. Overall, the agreement between the proposed model results and experimental data is generally good, demonstrating the capability of the model to resolve undular bores. In addition, the non-hydrostatic pressure field under the undular free surface is revealed, and the efficiency of the proposed model is presented. It is shown that the proposed model behaves better than a volume of fluid model in terms of efficiency, because the proposed model can use fewer computational grid cells to resolve undular bores in open channels.

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“…That usually demands large iteration times, fast convergence speed, and large PC storage. For this reason, Ai and Ding (2016) employed a novel model grid arrangement to render the sparse linear equation discretized form simpler to solve where the bottom-fitted coordinate ensures the homogeneous boundary condition. Moreover, numerical errors can be avoided via the immersed boundary method to treat uneven bottoms in the calculation of the baroclinic pressure force (Ai et al, 2021).…”

Section: Introductionmentioning

confidence: 99%

A nonhydrostatic oceanic regional model, ORCTM v1, for internal solitary wave simulation

Huang

Song²,

Qiu³

et al. 2023

Geosci. Model Dev.

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Abstract. The Oceanic Regional Circulation and Tide Model (ORCTM), including a nonhydrostatic dynamics module which can numerically reproduce internal solitary wave (ISW) dynamics, is presented in this paper. The performance of a baroclinic tidal simulation is also examined in regional modeling with open boundary conditions. The model control equations are characterized by three-dimensional and fully nonlinear forms considering incompressible Boussinesq fluid in Z coordinates. The pressure field is decomposed into the surface, hydrostatic, and nonhydrostatic components on the orthogonal curvilinear Arakawa-C grid. The nonhydrostatic pressure determined by the intermediate velocity divergence field is obtained via solving a three-dimensional Poisson equation based on a pressure correction method. Model validation experiments for ISW simulations with the topographic change in the two-layer and continuously stratified ocean demonstrate that ORCTM has a considerable capacity for reproducing the life cycle of internal solitary wave evolution and tide–topography interactions.

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A 3D unstructured non-hydrostatic ocean model for internal waves

Cited by 14 publications

References 36 publications

3D Numerical Investigation of Forces and Flow Field around the Semi-Submersible Platform in An Internal Solitary Wave

3D Numerical Investigation of Forces and Flow Field around the Semi-Submersible Platform in An Internal Solitary Wave

An efficient three-dimensional non-hydrostatic model for undular bores in open channels

A nonhydrostatic oceanic regional model, ORCTM v1, for internal solitary wave simulation

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