查询词典 Green function

In this paper, based on the Bessel function, an Ordinary Differential Equation was derived for time-domain Green function and its gradients in this paper. A new efficient calculation method based on solving ODE is proposed.

在探索求解精度和计算效率的矛盾中，提出了结合求解常微分方程的节点制表、节点间插值的快速计算Gre en函数的方法并据此开发了一套三维深水时域Green函数的数值计算程序。

In the single and double integral terms of Green function, the kernel function of wave-making resistance expression, Special function expansion method and Chebyshev polynomial approach method have been adopted respectively, which greatly increase the calculation speed.

对作为兴波阻力计算核函数的Green函数的单、双积分项分别采用特殊函数展开、切比雪夫多项式逼近的方法进行计算，提高了计算速度。

Based on the BISQ model, we studied the elastic wave speed in two-phase porous isotropic media and its relation with Biot-flow and squirt-flow. The Green function is obtained for a point load in the two-phase porous isotropic media using the decomposition of the field potencial and the properties of Delta function. The expression and effects of squirt-flow in BISQ-Green function are discussed.

以BISQ模型的波传播方程为基础，研究了弹性波在孔隙各向同性介质中的传播速度及与流体的Biot流动和喷射流动力学机制的关系，进一步利用场势分解和δ函数的性质，给出了同时受Biot流动和喷射流动两种动力学机制作用下，两相介质波场位移在集中力作用下的Green函数，并讨论了喷射流动在Green函数中的表现形式和作用。

In theprocedure of natural boundary reduction,the Green function of the original equa-tion with the Dirichlet boundary condition is used,but the Green function could notbe obtained for a general domain.

在自然边界归化的过程中要用到原始微分方程Dirichlet问题的Green函数，但是对于一般区域Green函数是不容易得到的。

Focusing on the problem of the nature of the high velocity surface acousticsmode,we investigate the standard of judging which a wave is a surface wave,present the Green function of a pseudo-SAWand a longitudinal-wave headwave,thus developing the theory for generalized Green's function of surfaceexcitation of a piezoelectric crystal,with the hope to systematize this theory.

本文围绕压电晶体半空间上的高速表面声学模式热点问题，对表面波模式进行了界定，又发展了压电晶体表面激发的Green函数理论，给出了伪表面波及纵波头波的Green函数，从而形成更完整的压电晶体表面激发理论系统。

The new methodof defining spline function will generalize the concept to the more universal Hilbert space. Hence, we take into consideration the interpolation spline function, general linear differential operater in semi- open interval and the Green function defined accordingly, and the reproducing kernel to produce the Green function and prove the existence of the reproducing kernel.

采用了一种新的样条函数的定义方法，把样条函数的概念推广到更一般的Hilbert空间上，再考虑半开闭区间a，+∞上的插值样条函数，一般线性微分算子及其定义的Green函数和再生核，构造出Green函数并且证明了再生核的存在性。

Complex function method and multi-polar coordinate transformation are used to study the Green function of a fixed rigid circular inclusion in right-angle planar space under an anti-plane point loading on the horizontal straight boundary.

利用复变函数法、多极坐标移动技术研究了直角平面区域内含有固定圆形夹杂时的反平面问题Green函数解。

Using the Green function of an anisotropic medium in free space and Green identity, we derive the equation of electric field in an anisotropic medium for TM polarized wave.

本文由各向异性介质无界空间Green函数和Green恒等式出发，推导了TM波入射时各向异性介质中电场满足的方程，由此得出总电场的积分公式。

The relationsare built among the Bergman kernel,the Riemann mapping function,the Szeg'o kerneland the Green function etc.,therefore,if we get the one of them,then it is easy toobtain the others from these relations.

五研究了Bergman核的理论，它具有再生性质，给出了Bergman核、Riemann映射、核以及Green函数之间的密切关系表达式。

As to multi-layer reservoirs,each layer can be divided into three areas:area of gravel-packing,area of perforation and area of radial flow.Each area has its own governing equaiton and the solution is expressed by Green function.The well bore pressure and layer-rate is given through Green function in Laplace space.The pressure drop and skin factor isobtained also in each area.

根据多层砾石充填完井的渗流特点，将每个产层在径向上分成3个区域，即砾石充填区、射孔区、地层径向流区，每个区域有各自的渗流方程，对n层油藏有3n个渗流方程，将每个区域的方程用Green函数来表示，由各层的Green函数得到井筒混合压力、分层压力及分层产量在Laplace空间上的解，最后得到每层各区域的压力损失、表皮系数以及井底压力和分层产量与时间的变化关系。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。