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1.
《中国海洋大学学报(自然科学版)》2010,(Z1)
本文考虑求解对称正则长波方程初边值问题的广义差分法,通过对原始方程的等价变分形式进行广义差分离散,给出全离散差分格式的误差估计,证明了格式保持原始方程所具有的守恒律,并通过数值实验,验证方法的有效性。 相似文献
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研究在持续外界扰动作用下,具有控制时滞线性系统的动态输出反馈扰动抑制问题。首先利用模型转换将控制时滞系统转化为形式上无时滞的系统,通过求解Riccati方程和Sylvester方程,推导出前馈—反馈最优扰动抑制控制律。然后构造能同时预估状态和扰动的降维观测器,不仅解决前馈控制和状态反馈的物理不可实现问题,而且得到了近似于最优扰动抑制控制律的动态输出反馈扰动抑制控制器。仿真实例证明此控制律的有效性。 相似文献
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海浪组成波中的四波共振时满足谱作用量、谱能量及动量守恒，在变分同化所建立的波谱共轭方程中，对应于非线性波波相互作用源函数Boltzman积分形式，本文建立了其共轭源函数满足的守恒关系；实际海浪计算时广泛采用Hasselmann et al．(1985)的参数化方法，本文给出其综合作用表示式，证明也满足谱作用量、谱能量及动量守恒，并进一步导出了其共轭源函数中存在的守恒量。所有的共轭源函数守恒量只是对共轭算子而言的，对于共轭波谱则不存在相应的守恒关系。 相似文献
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建立光纤布拉格光栅耦合模方程的一个高精度紧差分格式,并分析了差分格式的稳定性。Fourier分析表明线性格式是无条件稳定的。数值实验结果说明此格式保持守恒律且达到了预期收敛阶。 相似文献
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为建立高效的Boussinesq类水波数值模型,提出了一种新型的、基于有限差分和有限体积方法的混合数值格式。针对守恒形式的一维控制方程,在等间距矩形控制体内对其进行积分并离散,采用有限体积方法计算界面数值通量,剩余源项采用有限差分方法计算。其中,采用MUSTA格式并结合高精度状态插值方法计算控制体界面数值通量。时间积分则采用具有TVD性质的三阶龙格-库塔多步积分法进行。除验证模型外,重点对MUSTA格式和广泛使用的HLL格式进行了比较。结果表明,MUSTA格式可用于Boussinesq类水波方程数值求解,综合考虑数值精度、计算效率、程序编制和实际应用这几个方面,其较HLL格式更具有优势。 相似文献
6.
σ坐标系下浅水方程水平扩散项守恒型式 总被引：1，自引：0，他引：1
三维浅水模型控制方程经σ坐标变换后,其水平扩散项还存在一变换因子,故不能被常见的扩散模型表示成守恒型式。对σ坐标系下浅水方程水平扩散项进行处理,得到守恒型式的扩散模型,并采用垂向二维静水盐度扩散算例进行验证,结果表明守恒型模型能够保持初始的盐度分布。 相似文献
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海水中微量元素存在形式的模拟计算 总被引：1，自引：0，他引：1
本文用模拟数值方法，引用Ｄａｖｉｅｓ离子强度校正方程和热力学稳定常数，计算了海水中Ｃｕ、Ｐｂ、Ｃｄ和Ｈｇ的无机和有机络合物的百分比含量，从理论上探讨了重金属化学形式的规律。 相似文献
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近十多年来，国内外对海水中重金属的研究比较重视．研究海水中重金属时，不仅要测定它的含量，进而研究其分布变化规律，而且更需要了解它的存在形态和形式，这对研究元素的迁移过程及其对生物的影响都是重要的。对锌、铅及镉在海水中的无机络 相似文献
9.
对已有根据观测提出的幂函数形式风浪成长关系进行了分析。发现这些风浪成长关系在消去无因次风区后一致地与3／2指数律相协调，尽管它们原来存在较大的不协调性。发现Jeffreys，Sverdrup和Munk以及Platit的风能输入源函数在谱积分意义下具有相似性，而Tsikunov，Hasselmann和Phillips的破波耗散源函数在谱积分意义下也具有相似性，尽管这些源函数的原始形式和物理背景显著地不同。利用有效波能量平衡方程，将3／2指数律和发现的风能输入及破波耗散源函数相似性相结合，提出了深水风浪随风区成长的分式指数律，以得到的分式指数律拟合已有基于观测提出的风浪成长关系提出了半经验的风浪成长关系，与已有观测数据符合。 相似文献
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WANG Lixia SUN Yinglan ZHENG Lianyuan Associate Professor Insititute of Environmental Oceanography Ocean University of Qingdao Qingdao China.Professor Insititute of Environmental Oceanography Ocean University of Qingdao Qingdao China. Lecturer Insititute of Environmental Oceanography Ocean University of Qingdao Qingdao China. 《中国海洋工程》1998,(3)
A three-dimensional,first order turbulence closure,thermal diffusion model is described inthis paper.The governing equations consist of an equation of continuity,three components of momentum,conservation equations for salt,temperature and subgridscale energy,and an equation of state.In the mod-el,according to the hypothesis of Kolmogorov and Prandtl,the viscosity coefficient of turbulent flow ofhomogeneous fluid is related to the local turbulent energy,and the horizontal and vertical exchangecoefficients of mass,heat and momentum are computed with the introduction of subgridscale turbulenceenergy.The governing equations are solved by finite difference techniques.This model is applied to theJiaozhou bay to predict thermal pollution by the Huangdao power plant.An instantaneous tidal currentfield is computed,then the distribution of temperature increment is predicted,and finally the effect of windstress on thermal discharge is discussed. 相似文献
12.
Using the recently developed expansion formulae for wave structure interaction problems, the scattering of surface water waves by a semi-infinite floating membrane due to abrupt change in bottom topography is analyzed. Both the cases of finite and infinite steps are analyzed. In the present paper, the analysis is based on the linearized theory of water waves and small amplitude membrane response. Combining the linearized kinematic and dynamic surface conditions on the water surface with the dynamic pressure condition on the membrane, a third order differential equation is derived to describe the membrane covered free surface condition. General wave energy relation for wave scattering by floating horizontal membrane is derived by the application of law of conservation of energy flux and alternately by the direct application of Green's second identity. In the floating membrane covered region, the wave energy density is a combination of the kinetic and potential energy density due to the surface gravity waves, and the surface energy density which is due to the existence of the floating membrane on the free surface. Gravity wave transformations due to an abrupt change in bottom topography in the presence of a floating membrane in finite water depth are analyzed based on shallow water approximation. Numerical results are computed and analyzed to understand the wave transformation due to the floating membrane when there is an abrupt change in topography in different cases. 相似文献
13.
王宁 《中国海洋大学学报(自然科学版)》1996,(1)
讨论AKNS完全可积分系的一种2＋1维一般化。给出对应的Kdv方程及SineGordan方程的一种2＋1维一般化，导出其Hamilton形式。证明了经变量变换后，这类2＋1维完全可积分系可化为1＋1维已知可积分系。 相似文献
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1 .IntroductionWaves,oneofthemostimportantdynamicfactorsincoastalengineering ,havesignificanteffectsonthesafetyofconstructionandthecostofcoastalstructures.Thevariationofwave inducednearshorecurrentsandlongcyclicoscillationofwatersurfaceresultsinbankerosion ,sedimenttransportinestu aries ,siltationofharborsandchannels ,protectivestructureaccidents ,shipmooringfailuresanddiffu sionofpollutants ,andthushavedrawnscientificresearchers’attention .Alargenumberofresearchresultsonwavesandwave inducedc… 相似文献
16.
A BFG model for calculation of tidal current and diffusion of pollutants in nearshore areas 总被引：4，自引：0，他引：4
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17.
S. G. Demyshev 《Physical Oceanography》1992,3(2):155-158
Approximation of the hydrostatics equation is considered using a state equation in the form of a quadratic polynomial of temperature and salinity. It is shown that in this case the traditional approximation fails to obey the law of energy conservation in the numerical model. A difference analogue to the hydrostatics equation is derived which has the required property. The results of the calculation are presented.Translated by V. Puchkin. 相似文献
18.
An integral description of the propagation of steady-state perturbations of the heavy liquid surface
The system of equations of motion describing the gravity wave propagation in a perfect heavy liquid layer is transformed into
a new integral equation for the free surface elevations. In the limit cases, this integral equation describes the linear and
nonlinear periodic waves as well as the known types of solitary waves. In this case a dispersion equation arises because perturbations
of the second and higher orders of smallness are neglected. The integral equation allows for the propagation of invariable
surface perturbations of arbitrary forms if their spatial spectrum is concentrated near small wave numbers (compared to the
inverse wave amplitude). Several examples of solutions are presented. 相似文献
19.
V. P. Krasitsky 《Physical Oceanography》1994,5(6):413-421
A kinetic equation for the spectrum of random surface gravity waves, describing the spectral energy transfer over the spectrum, due to the combined effects of four- and five-wave weakly non-linear interactions has been developed. Equation kernels are given in the explicit form for a fluid of finite depth. It is noted that five-wave interactions break the wave conservation law inherent to the four-wave kinetic equation.Translated by Vladimir A. Puchkin. 相似文献