An iterative numerical method to compute the conformal mapping in the context of propagating water waves over uneven topographies is investigated. The map flattens the fluid domain onto a canonical strip in which computations are performed. The accuracy of the method is tested by using the MATLAB Schwarz–Christoffel toolbox mapping as a benchmark. Besides, we give a numerical alternative to compute the inverse of the conformal map.

中文翻译：

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在地形上的水波背景下计算共形映射及其逆的迭代方法

研究了在不平坦地形上传播水波的情况下计算共形映射的迭代数值方法。该贴图将流体域展平到执行计算的规范带上。通过使用 MATLAB Schwarz-Christoffel 工具箱映射作为基准测试该方法的准确性。此外，我们给出了一个数值替代方法来计算保角映射的逆。