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121.
浅海内波垂直模式方程的一种解析解 总被引:1,自引:1,他引:0
给出了一些海区实测浮力频率剖面的数学模型.利用超几何函数对内波垂直模式方程进行了解析求解,得到内波模式方程的解析解和频散方程.利用得到的解析解给出了一种理想条件下内波前三阶简正模式的结构. 相似文献
122.
The scattering of water waves by bottom-mounted vertical circular cylinders is solved by using the null-field integral equations in conjunction with degenerate kernels and Fourier series to avoid calculating the Cauchy and Hadamard principal values. In the implementation, the null-field point can be exactly located on the real boundary owing to the introduction of degenerate kernels for fundamental solutions. An adaptive observer system of polar coordinates is considered to fully employ the properties of degenerate kernels. For the hypersingular equation, vector decomposition for the radial and tangential gradients is carefully considered. This method can be seen as a semi-analytical approach since errors attribute from the truncation of Fourier series. Neither hypersingularity in the Burton and Miller approach nor the CHIEF concept was required to deal with the problem of irregular frequencies. Five advantages of free of calculating principal value, well-posed algebraic system, convergence rate of exponential order, meshfree and elimination of boundary-layer effect, are achieved by using the present approach. Numerical results are given for the forces and free-surface elevation around the circular boundaries. Also, the near-trapped behavior arisen from the physical resonance is detected. A general-purpose program for water wave impinging several circular cylinders with arbitrary number, radii, and positions was developed. Several examples of water wave structure interaction by vertical circular cylinders were demonstrated to see the validity of the present formulation. 相似文献
123.
124.
Many problems in mechanics can be solved by the use of the transfer matrix method. The use of this method in hydraulics engineering is not widespread and only limited studies are available. In this study, linearized St. Venant equations were used and the use of transfer matrix in ocean engineering was investigated for long waves in open channels, and numerical application was carried out. The results obtained through the transfer matrix method, which is quite easy to use, program and comprehend, showed similar results obtained from the characteristics method and finite differences method. 相似文献
125.
126.
Reevaluation of historical ocean heat content variations with time-varying XBT and MBT depth bias corrections 总被引:6,自引:0,他引:6
As reported in former studies, temperature observations obtained by expendable bathythermographs (XBTs) and mechanical bathythermographs
(MBTs) appear to have positive biases as much as they affect major climate signals. These biases have not been fully taken
into account in previous ocean temperature analyses, which have been widely used to detect global warming signals in the oceans.
This report proposes a methodology for directly eliminating the biases from the XBT and MBT observations. In the case of XBT
observation, assuming that the positive temperature biases mainly originate from greater depths given by conventional XBT
fall-rate equations than the truth, a depth bias equation is constructed by fitting depth differences between XBT data and
more accurate oceanographic observations to a linear equation of elapsed time. Such depth bias equations are introduced separately
for each year and for each probe type. Uncertainty in the gradient of the linear equation is evaluated using a non-parametric
test. The typical depth bias is +10 m at 700 m depth on average, which is probably caused by various indeterminable sources
of error in the XBT observations as well as a lack of representativeness in the fall-rate equations adopted so far. Depth
biases in MBT are fitted to quadratic equations of depth in a similar manner to the XBT method. Correcting the historical
XBT and MBT depth biases by these equations allows a historical ocean temperature analysis to be conducted. In comparison
with the previous temperature analysis, large differences are found in the present analysis as follows: the duration of large
ocean heat content in the 1970s shortens dramatically, and recent ocean cooling becomes insignificant. The result is also
in better agreement with tide gauge observations.
On leave from the Meteorological Research Institute of the Japan Meteorological Agency. 相似文献
127.
石晓辛 《成都信息工程学院学报》2009,24(2):201-203
研究Liemrd方程零解的渐近稳定性.在Liapunov函数Ⅴ满足dV/dt≤0的情况下,给出了进一步判断其渐近稳定的一个条件. 相似文献
128.
王水球 《成都信息工程学院学报》2009,24(3)
运用泛函分析性质以及Fourier变换的方法研究带有周期边界条件的非线性k-s方程在有限时间区间上的精确控制.首先研究线性化k-s方程的精确控制,证明对于任意给定的函数u0∈Hs,uT∈Hs,总能找到一个控制函数h使得线性化k-s方程有解u且满足u(x,0)=u0,u(x,T)=uT;然后结合线性化k-s方程的精确控制,通过定义Fredholm算子并应用Fredholm算子的一些理论找到非线性化k-s方程的控制函数,使其可精确控制. 相似文献
129.
130.
Mathematical Models for Combined Refraction-Diffraction of Waves on Non-Uniform Current and Depth 总被引:12,自引:2,他引:12
Hong Guangwen
Professor Research Institute of Coastal Ocean Engineering Hohai University Xikang Road Nanjing 《中国海洋工程》1996,(4)
Two mathematical models for combined refraction-diffraction of regular and irregular waves on non-uniform current in water of slowly varying topography are presented in this paper. Model I is derived by wave theory and variational principle separately. It has two kinds of expressions including the dissipation term. Model n is based on the energy conservation equation with energy flux through the wave crest lines in orthogonal curvilinear coordinates and the wave kinematic conservation equation. The analysis and comparison and special cases of these two models are also given. 相似文献