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一类(2 + 1)维KdV方程的精确解及动力学性态
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作者 王卓玛 贵桑拉吉 娘毛先 《应用数学进展》 2021年第6期1981-1987,共7页
本文利用指数函数法构造广义二维变系数KdV方程新精确解,并使用Mathematica软件描绘解的图像,分析解的性态。获取KdV型方程新的精确解,观察各个参数对波的影响,分析各个因素对水波传播状态的影响程度,为浅水背景下水波的传播问题提供一... 本文利用指数函数法构造广义二维变系数KdV方程新精确解,并使用Mathematica软件描绘解的图像,分析解的性态。获取KdV型方程新的精确解,观察各个参数对波的影响,分析各个因素对水波传播状态的影响程度,为浅水背景下水波的传播问题提供一定参考。 展开更多
关键词 指数函数法 齐次平衡法 二维变系数KdV型方程 MATHEMATICA软件 孤立波模型
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作为自组织格局的滩角
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作者 B.T.Werner T.M.Fink +1 位作者 龚文平 王道儒 《南海研究与开发》 2000年第2期66-70,共5页
对海滩冲流带内的流与泥沙输运的计算机模拟表明,一个将局部流加速与沿岸水面梯度结合的模型足以形成均匀间距的滩角。模拟的滩角特征及其形成的条件与观测的自然滩角状况吻合良好。模型中的自组织机制与一个已被接受的孤立波模型不同... 对海滩冲流带内的流与泥沙输运的计算机模拟表明,一个将局部流加速与沿岸水面梯度结合的模型足以形成均匀间距的滩角。模拟的滩角特征及其形成的条件与观测的自然滩角状况吻合良好。模型中的自组织机制与一个已被接受的孤立波模型不同,在孤立波模型中沿岸孤立波产生规则的侵蚀和淤积模式从而形成滩角。由于这两个模型给出类似的预测,目前所具有的观测数据不足以将它们区分开。 展开更多
关键词 计算机模拟 滩角 自组织机制 孤立波模型
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A continuously stratified nonlinear model for internal solitary waves in the northern South China Sea 被引量:3
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作者 谢皆烁 蔡树群 何映晖 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2010年第5期1040-1048,共9页
A continuously stratified nonlinear model is set up to study the impact of topographical character on the generation of internal solitary waves over a sill by tidal flow.One of the reasons why almost all of the genera... A continuously stratified nonlinear model is set up to study the impact of topographical character on the generation of internal solitary waves over a sill by tidal flow.One of the reasons why almost all of the generated internal solitary waves propagate westward in the northern South China Sea is explained.The model simulations describe the generation and propagation of internal waves well.When the strength of imposed barotropic tides and the water stratification stay unchanged,the steepness of the sill slope can control both(a) whether or not the waves induced over a sill by tidal flow are linear internal waves or nonlinear internal solitary waves,and(b) the amplitude of the internal solitary waves generated.If the steepness of the sill is asymmetric,the nonlinear internal solitary waves may be induced on the steeper side of the sill.These conclusions are supported by a numerical experiment with a monthly-mean stratification and an actual seafloor topography from the Luzon Strait. 展开更多
关键词 internal solitary waves numerical modeling SILL South China Sea
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Large-eddy simulation of the generation and propagation of internal solitary waves 被引量:7
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作者 ZHU Hai WANG LingLing TANG HongWu 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第6期1128-1136,共9页
A modified large-eddy simulation model,the dynamic coherent eddy model(DCEM)is employed to simulate the generation and propagation of internal solitary waves(ISWs)of both depression and elevation type,with wave amplit... A modified large-eddy simulation model,the dynamic coherent eddy model(DCEM)is employed to simulate the generation and propagation of internal solitary waves(ISWs)of both depression and elevation type,with wave amplitudes ranging from small,medium to large scales.The simulation results agree well with the existing experimental data.The generation process of ISWs is successfully captured by the DCEM method.Shear instabilities and diapycnal mixing in the initial wave generation phase are observed.The dissipation rate is not equal at different locations of an ISW.ISW-induced velocity field is analyzed in the present study.The structure of the bottom boundary layer(BBL)of internal wave packets is found to be different from that of a single ISW.A reverse boundary jet instead of a separation bubble exists behind the leading internal wave while separation bubbles appear in other parts of the wave-induced velocity field.The boundary jet flow resulting from the adverse pressure gradients has distinctive dynamics compared with free shear jets. 展开更多
关键词 ISW DCEM internal wave generation bottom boundary layer LES boundary jets
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Solitary Density Waves for Improved Traffic Flow Model with Variable Brake Distances
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作者 朱文兴 于瑞玲 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第2期301-307,共7页
Traffic flow model is improved by introducing variable brake distances with varying slopes.Stability of the traffic flow on a gradient is analyzed and the neutral stability condition is obtained.The KdV(Korteweg-de Vr... Traffic flow model is improved by introducing variable brake distances with varying slopes.Stability of the traffic flow on a gradient is analyzed and the neutral stability condition is obtained.The KdV(Korteweg-de Vries)equation is derived the use of nonlinear analysis and soliton solution is obtained in the meta-stable region.Solitary density waves are reproduced in the numerical simulations.It is found that as uniform headway is less than the safety distance solitary wave exhibits upward form,otherwise it exhibits downward form.In general the numerical results are in good agreement with the analytical results. 展开更多
关键词 gradient highway solitary waves variable brake distances
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solitary waves shock waves dust charge variation dusty plasma
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作者 王云良 郭晓艳 李泉水 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第2期247-253,共7页
The nonlinear propagation of dust acoustic waves is investigated in four-component plasmas consisting of positively charged dust grains, trapped ions, nonthermal electrons, and photoelectron due to ultraviolet irradia... The nonlinear propagation of dust acoustic waves is investigated in four-component plasmas consisting of positively charged dust grains, trapped ions, nonthermal electrons, and photoelectron due to ultraviolet irradiation.We use generalized viscoelastic hydrodynamic model for strongly coupled dust grain. In the weak nonlinearity limit, a modified Kadomstev–Petviashvili(KP) equation and a modified KP-Burger equation, which have a damping term coming from nonadiabatic charge variation, have been derived in the kinetic regime and hydrodynamic regime, respectively. With the increasing of UV photon flux, the hydrodynamic regime changes to kinetic regime. The approximate analytical line soliton and shock solutions are investigated in the kinetic regime and hydrodynamic regime, respectively. 展开更多
关键词 Nonlinear Dust Acoustic Waves in Strongly Coupled Dusty Plasmas with Positively Charged Dust Particles
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