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A simple method of depressing numerical dissipation effects during wave simulation within the Euler model

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Acta Oceanologica Sinica 2020年第1期39卷 141-156页

作者： Zhe Hu Xiaoying Zhang Weicheng Cui Fang Wang Xiaowen Li Yan Li Key Laboratory of Ships and Ocean Engineering of Fujian Province School of Marine EngineeringJimei UniversityXiamen 361021China Deep Sea Technology Research Center School of EngineeringWest Lake UniversityHangzhou 310024China Hadal Science and Technology Research Center College of Marine SciencesShanghai Ocean UniversityShanghai 201306China

Numerical wave tanks are widely-acknowledged tools in studying waves and wave-structure interactions. They can generate waves under realistic scales and offers more information on the fluid field. However, most numerical wave tanks suffer from issues known as the numerical dissipation and numerical dispersion. The former causes wave energy to be slowly dissipated and the latter shifts wave frequencies during wave propagation. This paper proposes a simple method of depressing numerical dissipation effects on the basis of solving Euler equations using the finite difference method(FDM). The wave propagation solutions are solved analytically taking into account the influence of the damping terms. The main idea of the method is to append a source term to the momentum equation, whose strength is determined by how strong the numerical damping effect is. The method is verified by successfully depressing numerical effects during the simulation of regular linear waves, Stokes waves and irregular waves. By applying the method, wave energy is able to be close to its initial value after long distance of travel.

关键词： numerical dissipation numerical wave tank wave simulation numerical damping reduction finite difference method

Stability Conditions for wave simulation in 3-D Anisotropic Media with the Pseudospectral Method

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Communications in Computational Physics 2012年第8期12卷 703-720页

作者： Wensheng Zhang LSEC Institute of Computational Mathematics and Scientific/Engineering ComputingAcademy of Mathematics and Systems ScienceChinese Academy of SciencesP.O.Box Beijing 2719P.R.China

simulation of elastic wave propagation has important applications in many areas such as inverse problemand geophysical *** this paper,stability conditions for wave simulation in 3-D anisotropic media with the pseudospectral method are *** can be expressed explicitly by elasticity constants which are easy to be applied in *** 3-Dwave simulation for two typical anisotropic media,transversely isotropic media and orthorhombic media,are carried *** results demonstrate some satisfactory behaviors of the pseudospectral method.

关键词： wave simulation stability conditions 3-D anisotropic media pseudospectral method

Elastic wave Propagation simulation in Heterogeneous Anisotropic Media on Non-uniform Grids

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Tsinghua Science and Technology 2004年第1期9卷 17-23页

作者：孙卫涛杨慧珠 Department of Engineering Mechanics Tsinghua University Beijing 100084 China Department of Computer Science and Technology Tsinghua University Beijing 100084 China

A finite-difference method with spatially non-uniform grids was developed to simulate elastic wave propagation in heterogeneous anisotropic media. The method is very simple and requires less compution time. Complicated geometric structures, such as low-velocity layers, cased boreholes and nonplanar interfaces, are treated with fine non-uniform grids. Unlike the multi-grid scheme, this method does not require interpolation between the fine and coarse grids and all grids are computed in the same spatial iteration. Planar or nonplanar surfaces including underground lens and cased boreholes are easily treated in a way similar to regular grid points. The Higdon抯 absorbing boundary condition was used to eliminate boundary reflections. Numerical simulations show that the method has satisfactory stability and accuracy. The proposed scheme more efficiently simulates wave propagation in heterogeneous anisotropic media than conventional methods using regular rectangular grids of equal accuracy.

关键词： wave simulation finite difference irregular grid

Observation and simulation of wind waves near a typical reef lagoon in South China Sea

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Journal of Hydrodynamics 2021年第1期33卷 24-32页

作者： Ze Sun Dao-lin Xu Xiao-long Liu Hai-cheng Zhang Zhi-wen Cai China Ship Scientific Research Center Wuxi 214082China Centre for Marine Technology Hunan UniversityChangsha 410082China Southern Marine Science and Engineering Guangdong Laboratory Zhanjiang 524025China

Due to the inference of the uneven shallow water seabed and the surrounding islands,the wind-generated waves around or in a reef lagoon are rather complicated,and critical to the safety of floating structures deployed near islands or inside a *** paper aims to find a feasible analysis tool for the wave simulations near islands and *** proposed three methods of grid techniques of waveWATCH III(WW3)are assessed by using on-site measured data which was collected and accumulated for about 5 years since August 2014 by a wave observation system deployed inside and outside a reef lagoon in South China *** the assessments,the wave statistics including the correlation coefficients,root mean square errors,and their variances are used to quantify the precisions of the simulation results of the significant wave heights,mean wave periods,and peak wave directions at two *** the three methods,the Multi-scale Zone and Multi-scale grid Technique(MZMGT)established on unstructured triangular grids exhibits better results in terms of the accuracy and CPU *** addition,the bimodal feature of wave spectra was observed at both sites of the reef lagoon in different typhoon *** wave characteristics inside the reef lagoon and open sea are also analyzed.

关键词： wave simulation reef lagoon waveWATCH III(WW3) grid methods typhoon waves on-site measurements

Laboratory Research on Effective Test Area of Short-Crested waves Generated by Two-Sided Segmented wavemakers

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China Ocean Engineering 2014年第2期28卷 181-192页

作者：李俊陈刚杨建民彭涛 State Key Laboratory of Ocean Engineering Shanghai Jiao Tong University Marine Design and Research Institute of China

The size and shape of the effective test area are crucial to consider when short-crested waves are created by segmented wavemakers. The range of the effective test area of short-crested waves simulated by two-sided segmented wavemakers is analyzed in this paper. The experimental investigation on the wave field distribution of short-crested waves generated by two-sided segmented wavemakers is conducted by using an array of wave gauges. wave spectra and directional spreading function are analyzed and the results show that when the main direction is at a certain angle with the normal line of wave generators, the wave field of 3D short-crested waves generated by two-sided segmented wavemakers has good spatial uniformity within the model test area. The effective test area can provide good wave environments for seakeeping model tests of various ocean engineering structures in the deep ocean engineering basin.

关键词： wave simulation 3D short-crested wave effective test area two-sided segmented wavemakers