Idioma:

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

Flamarion, Marcelo V. ; Ribeiro‐Jr, Roberto

International journal for numerical methods in fluids, 2021-11, Vol.93 (11), p.3304-3311 [Periódico revisado por pares]

Texto completo disponível

Citações Citado por

Título:
An iterative method to compute conformal mappings and their inverses in the context of water waves over topographies
Autor: Flamarion, Marcelo V. ; Ribeiro‐Jr, Roberto
Assuntos: Conformal mapping ; Context ; Euler equations ; Iterative methods ; Mapping ; Mathematical models ; Numerical methods ; spectral methods ; Water waves ; Wave propagation
É parte de: International journal for numerical methods in fluids, 2021-11, Vol.93 (11), p.3304-3311
Descrição: 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. In this article we present a numerical approach to compute conformal mappings that requires lower computational time than the Schwarz–Christoffel mapping. The method can be easily extended to solve time‐dependent water wave problems with large topographic obstacles. Besides, we present an alternative approach to compute the inverse conformal mapping.
Editor: Bognor Regis: Wiley Subscription Services, Inc
Idioma: Inglês

Voltar para lista de resultados