Version 1
: Received: 23 February 2023 / Approved: 24 February 2023 / Online: 24 February 2023 (09:09:50 CET)
Version 2
: Received: 3 March 2023 / Approved: 3 March 2023 / Online: 3 March 2023 (09:14:43 CET)
Version 3
: Received: 27 March 2023 / Approved: 28 March 2023 / Online: 28 March 2023 (08:49:45 CEST)
Botelho, F.S. Approximate Numerical Procedures for the Navier–Stokes System through the Generalized Method of Lines. Nonlinear Engineering 2024, 13, doi:10.1515/nleng-2022-0376.
Botelho, F.S. Approximate Numerical Procedures for the Navier–Stokes System through the Generalized Method of Lines. Nonlinear Engineering 2024, 13, doi:10.1515/nleng-2022-0376.
Botelho, F.S. Approximate Numerical Procedures for the Navier–Stokes System through the Generalized Method of Lines. Nonlinear Engineering 2024, 13, doi:10.1515/nleng-2022-0376.
Botelho, F.S. Approximate Numerical Procedures for the Navier–Stokes System through the Generalized Method of Lines. Nonlinear Engineering 2024, 13, doi:10.1515/nleng-2022-0376.
Abstract
This article develops applications of the generalized method of lines to numerical solutions of the time-independent, incompressible Navier-Stokes system in fluid mechanics. We recall that for such a method, the domain of the partial differential equation in question is discretized in lines (or more generally in curves), and the concerning solutions are written on these lines as functions of the boundary conditions and the domain boundary shape.
Keywords
Generalized method of lines; Navier-Stokes system; equivalent elliptic system
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Commenter: Fabio Botelho
Commenter's Conflict of Interests: Author
We have corrected an error in the main software of this article.
Indeed the main software in Matlab has been rewritten and now is running very well.