Modified method of regularized sources for potential flow

نویسندگان

چکیده

This paper describes the development of Method Regularized Sources for potential flow problems. It is based on modification fundamental solution near source point by replacing singularity with a blob in form steep rational function. allows to solve problems same way as Fundamental Solutions, however without an artificial boundary. gives excellent results Dirichlet boundary conditions, it fails Neumann conditions. To overcome this problem are positions segments placed close collocation points. approach somehow represents blending and classical Solutions. The novel characterized two free parameters; thickness displacement position. A two-dimensional numerical example around circle analyzed detail regarding these parameters. modified even more accurate derivatives than can be 2–25 times closer points Solutions thus reduces placement

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ژورنال

عنوان ژورنال: Computers & mathematics with applications

سال: 2021

ISSN: ['0898-1221', '1873-7668']

DOI: https://doi.org/10.1016/j.camwa.2020.05.022