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本文对二维长波方程采用劈分算子法给出了一个无条件稳定的有限差分格式。将此格式运用于求解矩形等深海湾的潮波,得到与解析解一致的结果;运用于北部湾全日潮和半日潮的计算,结果与实测一致。
In this paper, a two-dimensional long-wave equation using the split operator method gives an unconditionally stable finite difference scheme. Applying this scheme to solve the tidal wave in the deep bay such as rectangle, the result is consistent with the analytic solution. The calculation is based on the full-day tide and the half-tide in Beibu Gulf.