椭圆型缓坡方程的微机群集并行数值模拟

Parallel simulation of the elliptic mild slope equation based on PC cluster

提出了椭圆型缓坡方程的一种并行数值模拟方法,并在微机群集并行系统上进行了数值实现。为了验证方法的精度和效率问题,对两种典型缓坡地形上的波浪传播变形进行了数值模拟。与对应的串型算法得到的结果比较表明,本文的并行数值方法不仅可以提高数值模拟效率,而且可以大大减少单机的存储容量,从而使该系统可以进行更大区域的波浪变形的数值模拟。

A parallel solution method is proposed for the simulation of the elliptic mild slope equation and implemented on a personal computer cluster. To verify the accuracy and efficiency of this method, the distortion of the wave propagation on two typical mild slopes are simulated numerically. The comparison with the calculation result by means of serial solution method shows that the proposed method not only elevates the computational efficiency but also reduces the storage on a single computer making the parallel system can be used to numerically simulate the wave transformation in large area.