SPECTRAL METHODS INVOLVING THE GENERAL CYLINDER BOUNDARY
一般柱形边界区分场的谱方法计算

Using the Spectral Method, higher precision derivatives can be calculated in numerical computations. After FFT-code was discovered, this method was used popularly in Computational Fluid Dynamics. But till now, problems that can be studied by this method are limited to such boundaries which are either geometrically simple (rectangular, circular and so on) or periodical. Obviously if we break through this limitation, more and more CFD problems can share the advantage of the Spectral Method. In this paper we design a spliting method with the following two steps in turn:1st step: To integrate the equation with the (pseudo-) Spectral Method without taking care of the boundary conditions.2nd step: To modify the flow parameters near the boundary in order to satisfy the conditions.A demonstration example is the diffraction of a solitary wave by an elliptical cylinder. The whole diffraction process was calculated and displayed by 3-D Graphics.