保角变换

The unique advantage of this halfanalytical numerical method is that the analytical process of Conformal Mapping can transform an irregular area into a regular one such as a rectangle. Therefore, the discretization error of numerical methods on the boundary can be avoided, and the numerical algorithm can be implemented more easily, with the computing efficiency improved.

这种保角变换的半解析数值方法的突出优点是：利用前期的保角变换解析处理将不规则的场域转化为规则的矩形域，从而避免了纯数值技术对复杂边界的离散化误差，降低了后期数值计算的算法复杂度，并提高了计算效率。

This will produce errors. In this dissertation, We introduced conformal mapping technology into FDTD algorithm in order to develop new conformal-mapping-FDTD algorithm.

本文将保角变换与FDTD算法相结合，形成保角变换FDTD算法，并将其应用于特殊截面波导和传输线导波问题的计算中。

Because of the special structure of conical bearings and existence of spiral groove, conformal mapping and oblique coordinate transformation have been processed for calculated regions of the governing equations.

由于圆锥轴承的特殊结构以及螺旋角的存在，对轴承°的求解域进行了保角变换和料坐标变换。

The new method of solving the hydraulic fracture moveable boundary problem by use of the method of the conformal transformation and body-fitted coordinate is put forward; according to the law of continuation, the transformation from the control equation in the physical plane to the calculation plane is completed, and two dimensional fluid field numerical simulation in the fracture is also finished.

提出了利用保角变换和贴体坐标变换处理水力裂缝动态边界问题的新方法，根据链导法则完成了物理域控制方程向计算域平面的转换，实现了二维流场的数值模拟； 5。

Schwartz mapped the interior of each fluid cycle in the physical plane into an annulus of unit outer radius in the mapping plane according to the conformal transformation. And the perturbation theory is the main way of solving conformal parameters.

L.W.Schwartz的关于定常二维非线性波算法的主要思想是为了利用已知速度势的解析解，将一个波长的自由表面同底部所限定的流域采用合适的保角变换函数变换为映射平面上一圆环，在求解保角变换函数的变换系数时采用摄动理论进行求解。

In the first step,through using the formula of the conformal transformation,a continuous medium with regulation boundary in original area could be transformed to a homogeneous medium with anomalous boundary in complex area,so the new constant velocity field could be more adapt to the current Stolt migration's conditions.

首先，利用保角变换法可将不规则边界的单连通区域转变成规则边界的原理，将规则边界的连续介质场转变成不规则边界的均匀介质场，使该均匀介质场更适应现有Stolt等偏移方法对速度场的要求；其次，对改变了区域的模型地震记录进行常规的偏移成像处理；再利用推导出的反变换公式对成像结果进行反变换，得出模型的真实偏移成像结果。

We transformed eccentric coaxial line cross-section into rectangular area by hyperbolic cotangent transformation, transformed the FDTD difference expressions into CM-FDTD difference formula, calculated the cutoff wavenumbers of higher order TE and TM modes in eccentric coaxial line.

本文用双曲余切变换将偏心同轴线截面变换为矩形区域，相应地将FDTD差分格式变换为保角变换FDTD差分格式，计算了偏心同轴线TE、TM高阶模的截止波长。

Two-dimensional seepage flow of free-surface over cutoff wall has been solved by conformal transformation method in this paper. By introducing the hodograph plane and utilizing Schwarz-Christoffel transform, the mapping relational formula between the physical plane Z and complex potential plane has been deduced.

对于越过截渗墙的剖面二维含自由面的渗流，应用保角变换方法求解，通过引入速度矢端平面和应用Schwarz－Christoffel变换，推导出了物理平面Z和复势平面的映射关系式。

Also the conformal transformation with complex variable theory can give an image of section of line to a circle and it could meet the condition to set mirror image currents before infinite half plane region.

磁场求解的场域满足磁势的拉普拉斯方程，可以通过复变函数的保角变换方法把圆环域变换为矩形域并延拓为带状域，结合平面镜象电流方法求解。

As a special example, we calculated global errors and reflective coefficient on the interface of quasi-PML in the Cassinian transformation cylindrical coordinates. Numerical results validated the effectiveness of absorbing in quasi-perfectly matched layers for the conformal mapping case.

本文还以Cassinian变换柱形坐标为例，计算了准PML的全局误差和准PML界面中点的反射系数，证实了保角变换柱形坐标系准PML的吸收作用。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。