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An iterative method to compute conformal mappings and their inverses in the context of water waves over topographies

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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… Click to show full abstract

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.

Keywords: method compute; water waves; compute conformal; method; compute

Journal Title: International Journal for Numerical Methods in Fluids
Year Published: 2021

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