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101.
采用谱方法,在曲线坐标系下对不可压缩Newton流体的N-S方程进行求解,采用定义在物理空间中的流动物理量以避免使用协变、逆变形式的控制方程.在计算空间采用Fourier-Chebyshev谱方法进行空间离散,时间推进采用高精度时间分裂法.为了减小时间分裂带来的误差,采用了高精度的压力边界条件.与其他求解协变、逆变形式控制方程的谱方法相比,该方法在保持谱精度的同时减小了计算量.首先通过静止波形壁面和行波壁面槽道湍流的直接数值模拟,对该数值方法进行了验证;其次,作为初步应用,利用该方法研究了槽道湍流中周期振动凹坑所产生的流动结构. 相似文献
102.
The problem of differential equation systems admitting a nonlinear superposition principle is analyzed from a geometric perspective. We show how it is possible to reduce the problem of finding the general solution of such a differential equation system defined by a Lie group G to a pair of simpler problems, one in a subgroup H and the other on a homogeneous space. The theory is illustrated with several examples and applications. 相似文献
103.
The bandwidth theorem for Fourier analysis on any time-dependent classical signal is shown using the operator approeoch to quantum mechanics. Following discussions about squeezed states in quantum optics, the problem of minimum signals presented by a single quantity and its squeezing is proposed. It is generally proved that all such minimum signals, squeezed or not, must be real Gaussian functions of time. 相似文献
104.
The high-frequency (HF) electron current induced in a dc discharge plasma bysuperimposing a HF electric field presents a useful tool for the diagnosticsof the time-dependent electron behavior of the plasma. This response to theHF field has been recently studied in diffusive discharge plasmas at lowergas pressures and discharge currents. These studies are extended tomedium-pressure plasmas operating in the diffusive as well as in theconstricted mode. In particular, the impact of the electron–electroninteraction on the phase delay between the HF field and electron current inconstricted column plasmas has been experimentally and theoreticallyanalyzed. Furthermore, the problem has been studied if, under the conditionsof pronounced electron–electron interaction, the determination of theelectron density will further on be possible by using the phase delay. Themeasurements of the delay have been performed by means of the microwaveresonator method in a medium-pressure krypton glow discharge operating inthe diffusive as well as the strongly constricted mode. In addition, thedelay has been theoretically determined by treating the appropriatetime-dependent electron kinetic equation at high frequencies of thesuperimposed microwave field. 相似文献
105.
106.
The geometric phase of the quantum systems with slow but finite
rate of the external time-dependent field
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With the help of the time-dependent gauge transformation technique, we have
studied the geometric phase of a spin-half particle in a rotating magnetic
field. We have found that the slow but finite frequency of the rotating
magnetic field will make the difference between the adiabatic geometric phase and
the exact geometric phase. When the frequency is much smaller than the
energy space and the adiabatic condition is perfectly guaranteed, the
adiabatic approximation geometric phase is exactly consistent with the
adiabatic geometric phase. A simple relation for the accuracy of the
adiabatic approximation is given in terms of the changing rate of the frequency of
the rotating magnetic field and the energy level space. 相似文献
107.
108.
One-dimensional consolidation of layered soils with impeded boundaries under time-dependent loadings 总被引:1,自引:0,他引:1
On the basis of Terzaghi‘s one-dimensional consolidation theory, the variation of effective stress ratio in layered saturated soils with impeded boundaries under timedependent loading was studied. By the method of Laplace transform, the solution was presented. Influences of different kinds of cyclic loadings and impeded boundaries conditions were discussed. Through numerical inversion of Laplace transform, useful illustrations were given considering several common time-dependent loadings. Pervious or impervious boundary condition is just the special case of the problem considered here. Compared with average index method, the results from the method illustrated are more accurate. 相似文献
109.
Using our recently developed time-dependent multilevel approach, we have calculated the phase shift of the population oscillation of the excited potassium atom in frequency-modulated fields when the modulation amplitude is suddenly changed. The numerical results are in good agreement with the measurements. A new way of realizing population trapping is suggested. 相似文献
110.
Analytical Solution for Single—Mode Time—Dependent Oscillator 总被引:1,自引:0,他引:1
Based on the general theory of time-dependent quantum transformation,we use the “time evolution operator” method to solve the single-mode time-dependent oscillator. 相似文献