Two-dimensional mesh generator in generalized coordinates implemented in Python

• URL: http://arxiv.org/abs/2110.12875v1
• Date: Sun, 17 Oct 2021 20:42:18 GMT
• Title: Two-dimensional mesh generator in generalized coordinates implemented in Python
• Authors: Gustavo Taiji Naozuka, Saulo Martiello Mastelini, Eliandro Rodrigues Cirilo, Neyva Maria Lopes Romeiro and Paulo Laerte Natti
• Abstract summary: The paper presents a two-dimensional mesh generator in generalized coordinates, which uses the Parametric Linear Spline method and partial differential equations. The generator is automated and able to treat real complex domains.
• Score: 1.1744028458220428
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: Through mathematical models, it is possible to turn a problem of the physical domain into the computational domain. In this context, the paper presents a two-dimensional mesh generator in generalized coordinates, which uses the Parametric Linear Spline method and partial differential equations. The generator is automated and able to treat real complex domains. The code was implemented in Python, applying the Numpy and Matplotlib libraries to matrix manipulations and graphical plots, respectively. Applications are made for monoblock meshes (two-dimensional shape of a bottle) and multi-block meshes (geometry of Igap\'o I lake, Londrina, Paran\'a, Brazil).

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