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1.
吴红玉  马松华  方建平 《海洋学报》2010,32(10):6719-6724
利用一个投射方程和变量分离法,得到了(2+1)维 Korteweg-de Vries (KdV) 方程的新显式精确解.根据得到的孤立波解,构造出 KdV 方程的传播孤子结构. 利用一个新的混沌系统研究了孤子的混沌行为.  相似文献   

2.
With a projective equation and a linear variable separation method, this paper derives new families of variable separation solutions (including solitory wave solutions, periodic wave solutions, and rational function solutions) with arbitrary functions for (2+1)-dimensional generalized Breor--Kaup (GBK) system. Based on the derived solitary wave excitation, it obtains fusion and fission solitons.  相似文献   

3.
Wu  Xiao-yu  Du  Zhong 《中国海洋工程》2022,36(5):808-813

In this paper, we investigate a (3+1)-dimensional generalized variable-coefficient shallow water wave equation, which can be used to describe the flow below a pressure surface in oceanography and atmospheric science. Employing the Kadomtsev-Petviashvili hierarchy reduction, we obtain the semi-rational solutions which describe the lumps and rogue waves interacting with the kink solitons. We find that the lump appears from one kink soliton and fuses into the other on the x−y and x−t planes. However, on the x−z plane, the localized waves in the middle of the parallel kink solitons are in two forms: lumps and line rogue waves. The effects of the variable coefficients on the two forms are discussed. The dispersion coefficient influences the speed of solitons, while the background coefficient influences the background’s height.

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4.
The shape optimization of the 2-dimensional wing in ground effect (WIG) has been performed by the integration of CFD (computational fluid dynamics) and MOGA (multi-objective genetic algorithm). Because of the trade-off between the aerodynamic forces and the height stability, it is difficult to satisfy the design requirements of efficiency and stability at the same time. In this study, the lift coefficient, the lift-drag ratio and the static height stability are chosen as the objective functions to obtain the optimal wing profiles of a WIG craft. An NACA0015 airfoil is used for the baseline model; the aerodynamic characteristics of the base model are compared with that of the optimal solutions. The profile of the airfoil is constructed by four Bezier curves with fourteen control points resulting in the eighteen coordinates, which are adopted as the design variables. The optimal solutions of the multi-objective optimization are not unique but a set of the non-dominated optima: the Pareto frontiers or a Pareto set. As the results of the multi-objective optimization, the forty Pareto optima, which include high-lift, high-efficiency, and more stable airfoils on the edge of the 3-dimensional objective space, are obtained at thirty evolutions of the generation.  相似文献   

5.
For Navier-Stokes equation model using the VOF scheme, Lin and Liu (Lin, P. and Liu, P.L.-F. (1999). Internal wave-maker for Navier-Stokes equations models. J. Waterw. Port Coast. Ocean Eng., 125 (4), 207–215.) developed an internal wave-maker method for which a mass source function of the continuity equation was used to generate target wave trains. Using this internal wave-maker method, various numerical experiments have been conducted without any problems due to waves reflected by a wave-maker. In this study, an internal wave-maker method using a momentum source function was proposed. Various numerical simulations in two and three dimensions were performed using the momentum source wave-maker applied to the RANS equation model in a CFD code, FLUENT. To verify their applicability in 2 dimensions, the computational results obtained using the momentum source wave-maker in a channel of constant depth were compared with the results obtained by using the mass source wave-maker and with the analytical solutions. And the results of the present numerical simulations of hydraulic experiments, which represent nonlinear waves on a submerged shoal and breaking waves on a plane beach, were compared with measurements. The comparisons showed good agreements between them. To see their applicability into 3-dimensional cases, the present results in a basin of constant depth were compared with the analytical solutions, and they agreed well with each other. In addition, vertical variation of longshore current was presented by using the 3-dimensional simulation results.  相似文献   

6.
利用B-样条函数.文中发展了一个对流扩散方程欧拉-拉格朗日方法的插值格式.改善了其数值频散性。算例表明,此格式优于一次和二次插值格式。文中给出了B-样条插值格式的二维及三维推广。  相似文献   

7.
具有小时滞的线性系统次优控制的无滞后转换法   总被引:1,自引:0,他引:1  
该文研究线性时滞定常系统的次优控制问题。根据无滞后转换法的思想 ,先引入状态向量的增量 ,将其视为附加扰动输入 ,再利用微分方程的逐次逼近法 ,将既含有时滞项又含有超前项的两点边值问题化为既不含时滞项又不含超前项的两点边值问题族。然后 ,把第 N次逼近得到的控制律近似为系统的最优控制律 ,得到次优控制律。并用实例仿真验证了该算法的有效性。该方法可使小时滞系统的迭代次数大大减少 ,因此尤其适合于小时滞系统的次优控制。  相似文献   

8.
The mild-slope equation is a vertically integrated refraction-diffraction equation, used to predict wave propagation in a region with uneven bottom. As its name indicates, it is based on the assumption of a mild bottom slope. The purpose of this paper is to examine the accuracy of this equation as a function of the bottom slope. To this end a number of numerical experiments is carried out comparing solutions of the three-dimensional wave equation with solutions of the mild-slope equation.For waves propagating parallel to the depth contours it turns out that the mild-slope equation produces accurate results even if the bottom slope is of order 1. For waves propagating normal to the depth contours the mild-slope equation is less accurate. The equation can be used for a bottom inclination up to 1:3.  相似文献   

9.
渤海海峡沉积物输运的参数化计算   总被引:1,自引:1,他引:0  
本文以2018年冬季渤海海峡两个站位的定点连续观测数据为基础,使用一维参数化方案,计算了观测站位底边界层内的水平悬浮物输运通量以及推移质输运量。在参数化方案中,简化的一维对流扩散方程被用于计算底边界层内的垂向悬浮物浓度。为了验证参数化方案的可靠性,本文基于观测数据对比了两种底剪切应力计算模型、四种临界起动剪切应力计算方法和两种一维对流扩散方程解法。对比结果表明:(1)不同模型计算的底剪切应力结果相近;(2)临界起动剪切应力受到颗粒间黏性作用的影响;(3)一维对流扩散方程的求解过程需要考虑沉积物浓度的分层效应和不同粒级颗粒临界起动剪切应力的差异。基于上述对比结果确定的最优参数化方案,进一步计算了观测站位的沉积物输运量:(1)在有再悬浮的时段,距底5 m内的水平悬浮物通量占全水深悬浮物通量的比例(T01站约为21%,T02站约为17%)显著高于相同层位水通量的占比;(2)依据参数化方案估算的冬季平均的悬浮物通量比忽略底边界层悬浮物浓度垂向变化的传统方法结果高约16%;(3)推移质输运量比悬移质输运量约低两个数量级。  相似文献   

10.
本文研究在圆环区域上带梯度项和完全非线性项的半线性椭圆型方程边值问题径向大解的爆破速率。在证明一些重要极限的基础上,与常微分方程分析法相结合得到了当完全非线性项满足Keller-Osserman条件,梯度项的指数范围分别在0~1和大于2时径向大解的爆破速率及在加强的条件下大解边界行为的第二次影响.  相似文献   

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