Preprint Article Version 3 Preserved in Portico This version is not peer-reviewed

Approximate Numerical Procedures for the Navier-Stokes System Through the Generalized Method of Lines

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)

A peer-reviewed article of this Preprint also exists.

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

Comments (1)

Comment 1
Received: 28 March 2023
Commenter: Fabio Botelho
Commenter's Conflict of Interests: Author
Comment: Dear Editor

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.
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