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Numerical Study of Focused Wave Impact on a 2-D Floating Body Using cip-based method

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Numerical Study of Focused Wave Impact on a 2-D Floating Bod...

Nonlinear Dynamic Behaviors of A Floating Structure in Focused Waves

第二十三届全国水动力学研讨会暨第十届全国水动力学学术会...

作者： Xizeng Zhao,Sheng Dong College of Engineering,Ocean University of China,Qingdao 266100,China,

＜正＞In rough seas,marine structures such as ship,platform,etc.frequently experience highly nonlinear phenomena such as slamming,water on deck,wave impact by green water and capsizing due to large-amplitude waves.Investigation of such wave-body interaction problem is of considerable importance in engineering application.This paper uses a constrained interpolation profile（cip）-based Cartesian grid method to numerically investigate the focused wave impact on a two-dimensional floating body,which is validated against to a newly performed experiment.In the experiment,focused wave is generated and a box-shaped floating body with a superstructure is utilized.Validation computations on the experiment are performed by the cip-based Cartesian grid method,in which the THINC scheme（THINC,tangent of hyperbola for interface capturing）,is used for interface capturing.The highly nonlinear wave-body interactions,including large amplitude body motions and water on deck are numerically investigated and compared with experimental data. Good agreements are achieved to show the ability of the presented model for extremely nonlinear wave-body interactions.

关键词： Focused wave cip method Wave-body Interaction Water on deck Wave impact

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China Ocean Engineering 2015年第6期29卷 807-820页

作者：曹飞凤赵西增 Institute of Harbor-Channel and Coastal Engineering Department of Civil EngineeringZhejiang University of Technology Ocean College Zhejiang University State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering Nanjing Hydraulic Research Institute

Floating structures are commonly seen in coastal and offshore engineering. They are often subjected to extreme waves and, therefore, their nonlinear dynamic behaviors are of great concern. In this paper, an in-house CFD code is developed to investigate the accurate prediction of nonlinear dynamic behaviors of a two-dimensional（2-D） box-shaped floating structure in focused waves. Computations are performed by an enhanced Constrained Interpolation Profile（cip）-based Cartesian grid model, in which a more accurate VOF（Volume of Fluid） method, the THINC/SW scheme（THINC： tangent of hyperbola for interface capturing; SW： Slope Weighting）, is used for interface capturing. A focusing wave theory is used for the focused wave generation. The wave component of constant steepness is chosen. Comparisons between predictions and physical measurements show good agreement including body motions and free surface profiles. Although the overall agreement is good, some discrepancies are observed for impact pressure on the superstructure due to water on deck. The effect of grid resolution on the results is checked. With a fine grid, no obvious improvement is seen in the global body motions and impact pressures due to water on deck. It is concluded that highly nonlinear phenomena, such as distorted free surface, large-amplitude body motions, and violent impact flow, have been predicted successfully.

关键词： focused wave cip method wave-structure interaction VOF method free surface flow wave breaking

Numerical Study of Dam-Break Induced Tsunami-Like Bore with A Hump of Different Slopes

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China Ocean Engineering 2017年第6期31卷 683-692页

作者： CHENG Du ZHAO Xi-zeng ZHANG Da-ke CHEN Yong Ocean College Zhejiang University Zhoushan 316021 China

Numerical simulation of dam-break wave, as an imitation of tsunami hydraulic bore, with a hump of different slopes is performed in this paper using an in-house code, named a Constrained Interpolation Profile （cip）-based model. The model is built on a Cartesian grid system with the Navier Stokes equations using a cip method for the flow solver, and employs an immersed boundary method （IBM） for the treatment of solid body boundary. A more accurate interface capturing scheme, the Tangent of hyperbola for interface capturing/Slope weighting （THINC/SW） scheme, is adopted as the interface capturing method. Then, the cip-based model is applied to simulate the dam break flow problem in a bumpy channel. Considerable attention is paid to the spilling type reflected bore, the following spilling type wave breaking, free surface profiles and water level variations over time. Computations are compared with available experimental data and other numerical results quantitatively and qualitatively. Further investigation is conducted to analyze the influence of variable slopes on the flow features of the tsunami-like bore.

关键词： dam break tsunami-like bore cip method VOF method immersed boundary method

Simulation of violent free surface flow by AMR method

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Journal of Hydrodynamics 2018年第3期30卷 384-389页

作者： Changhong Hu Cheng Liu Research Institute for Applied Mechanics Kyushu University

A novel CFD approach based on adaptive mesh refinement（AMR） technique is being developed for numerical simulation of violent free surface flows. cip method is applied to the flow solver and tangent of hyperbola for interface capturing with slope weighting（THINC/SW） scheme is implemented as the free surface capturing scheme. The PETSc library is adopted to solve the linear system. The linear solver is redesigned and modified to satisfy the requirement of the AMR mesh topology. In this paper, our CFD method is outlined and newly obtained results on numerical simulation of violent free surface flows are presented.

关键词： Adaptive mesh refinement cip method parallel computation violent free surface flow

Development of Cartesian grid method for simulation of violent ship-wave interactions

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Journal of Hydrodynamics 2016年第6期28卷 1003-1010页

作者： Changhong HU Cheng LIU Research Institute for Applied Mechanics Kyushu University

We present a Cartesian grid method for numerical simulation of strongly nonlinear phenomena of ship-wave interactions. The Constraint Interpolation Profile （cip） method is applied to the flow solver, which can efficiently increase the discretization accuracy on the moving boundaries for the Cartesian grid method. Tangent of Hyperbola for Interface Capturing （THINC） is imple- mented as an interface capturing scheme for free surface calculation. An improved immersed boundary method is developed to treat moving bodies with complex-shaped geometries. In this paper, the main features and some recent improvements of the Cartesian grid method are described and several numerical simulation results are presented to discuss its performance.

关键词： strongly nonlinear wave-body interaction Cartesian grid method cip method

Numerical simulation of viscous flow past an oscillating square cylinder using a cip-based model

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Journal of Hydrodynamics 2017年第1期29卷 96-108页

作者：付英男赵西增曹飞凤张大可程都李莉 Ocean College Zhejiang University Shanghai Merchant Ship Design and Research Institute Institute of Harbor-Channel and Coastal Engineering Department of Civil Engineering Zhejiang University of Technology State Key Laboratory of Satellite Ocean Environment Dynamics Second Institute of Oceanography

The flow past an in-line forced oscillating square cylinder at Reynolds number of 200 is studied using an in-house code, named constrained interpolation profile method developed in Zhejiang University （cip-ZJU）. The model is established in the Cartesian coordinate system using the cip method to discretise the Navier-Stokes equations. The fluid-structure interaction is treated as a multiphase flow of the liquid and solid phases to be solved simultaneously. An immersed boundary method is used to deal with the boundary of the solid body. The CFD model is first applied to the computation of the flow past a fixed square cylinder for its validation. Computations are then performed for the flow past a square cylinder oscillating in the streamwise direction. Considerable attention is paid to the symmetric and anti-symmetric modes of the vortex shedding in the oscillating square cylinder wake. Various oscillation amplitudes and frequencies are simulated and their effects on the vortex shedding modes are analyzed via Lissajous patterns of the unsteady lift coefficient. The relationship among the lift coefficient, the drag coefficient and the lock-on range is also investigated quantitatively.

关键词： Flow past cylinder oscillating square cylinder lock-on cip method immersed boundary method

Numerical Simulation of Water Entry of Wedges in Waves Using A cipBased Model

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China Ocean Engineering 2021年第1期35卷 48-60页

作者： HU Zi-jun ZHAO Xi-zeng LI Meng-yu ZHAO Xin YAO Wen-wei SHAO Jie Zhejiang Institute of Hydraulic and Estuary Hangzhou 310020China Ocean College Zhejiang UniversityZhoushan 316021China

In this study,the water entry of wedges in regular waves is numerically investigated by a two-dimensional in-house numerical code.The numerical model based on the viscous Navier−Stokes(N−S)equations employs a high-order different method—the constrained interpolation profile(cip)method to discretize the convection term.A Volume of Fluid(VOF)-type method,the tangent of hyperbola for interface capturing/slope weighting(THINC/SW)is employed to capture the free surface/interface,and an immersed boundary method is adopted to treat the motion of wedges.The momentum source function derived from the Boussinesq equation is applied as an internal wavemaker to generate regular waves.The accuracy of the numerical model is validated in comparison with experimental results in the literature.The results of water entry in waves are provided in terms of the impact force of wedge,velocity and pressure distributions of fluid.Considerable attention is paid to the effects of wave parameters and the position of wedge impacting the water surface.It is found that the existence of waves significantly influences the velocity and pressure field of fluid and impact force on the wedges.

关键词： Water entry water wave wedge internal wave maker cip method VOF method

A cip-Based Numerical Simulation of Free Surface Flow Related to Freak Waves

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China Ocean Engineering 2013年第6期27卷 719-736页

作者：赵西增 Department of Ocean Science and Engineering Zhejiang University State Key Laboratory of Satellite Ocean Environment Dynamics the Second Institute of Oceanography

An enhanced numerical model for simulating two-dimensional incompressible viscous flow with distorted free surface is reported. The numerical simulation is carried out through the cip （Constrained Interpolation Profile）-based method, which is described in the paper. A more accurate interface capturing scheme, the VOF/WLIC scheme （VOF：Volume-of-Fluid;WLIC：weighed line interface calculation）, is adopted as the interface capturing method. To assess the developed algorithm and its versatility, a selection of test problems are examined, i.e. the square wave propagation, the Zalesak’s rigid body rotation, dam breaking problem with and without obstacles, wave sloshing in an excited wave tank and interaction between extreme waves and a floating body. Excellent agreements are obtained when numerical results are compared with available analytical, experimental, and other numerical results. These examples demonstrate that the use of the VOF/WLIC scheme in the free surface capturing makes better results and also the proposed cip-based model is capable of predicting the freak wave-related phenomena.

关键词： distorted free surface cip method wave breaking VOF method freak wave dam break

Immersed Interface cip for One Dimensional Hyperbolic Equations

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Communications in Computational Physics 2014年第6期16卷 96-114页

作者： Kazufumi Ito Tomoya Takeuchi Department of Mathematics North Carolina State UniversityRaleighNC 27695USA. Collaborative Research Center for Innovative Mathematical Modelling Institute of Industrial ScienceUniversity of TokyoTokyoJapan. FIRST Aihara Innovative Mathematical Modelling ProjectJSTKawaguchiJapan.

The immersed interface technique is incorporated into cip method to solve one-dimensional hyperbolic equations with piecewise constant coefficients.The proposed method achieves the third order of accuracy in time and space in the vicinity of the interface where the coefficients have jump discontinuities,which is the same order of accuracy of the standard cip scheme.Some numerical tests are given to verify the accuracy of the proposed method.

关键词： cip method immersed interface method hyperbolic equations in discontinuous media.