摘要
本文研究用有限元法求标量波动方程的数值解。相应的处理程序适用于非均匀介质中波的传播。也就是说,波在介质中的传播速度不仅在纵向上有变化,而且在横向上也有变化。为了减少计算时间,可以用二维空间来简化三维空间。计算中应用了Galerkin法、三角形单元和中心差分格式。计算是在IRIS—60机上进行的。计算结果与物理模型一致。
Abstract
This paper mainly describes how to get the numerical solution of the scalar wave equation by finite element method. The processing programs used are suitable for the inhomogeneous media, in which the wave velo- city varies longitudinally and transversely. In arder to simplify the procedure of the calculation and save the time needed for computing, instead of the 3-D space, the 2-D space is adopted. The whole work was completed by the computer of model IRIs-60 with the Galerkins method,the triangular elements as well as the central difference scheme were adopted. Results show no difference to the physical models,they are in conformity with each other very well.
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