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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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arxiv 2103.02022 v1 pith:2JEHE2PM submitted 2021-03-02 physics.flu-dyn cs.NAmath.NA

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

classification physics.flu-dyn cs.NAmath.NA
keywords computeconformalmethodcontextiterativemappingnumericaltopographies
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 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.

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