English

Two-dimensional mesh generator in generalized coordinates implemented in Python

Mathematical Software 2022-06-24 v1 Computers and Society

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).

Cite

@article{arxiv.2110.12875,
  title  = {Two-dimensional mesh generator in generalized coordinates implemented in Python},
  author = {Gustavo Taiji Naozuka and Saulo Martiello Mastelini and Eliandro Rodrigues Cirilo and Neyva Maria Lopes Romeiro and Paulo Laerte Natti},
  journal= {arXiv preprint arXiv:2110.12875},
  year   = {2022}
}

Comments

14 pages, 7 figures

R2 v1 2026-06-24T07:09:35.645Z