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)
How to cite:
Botelho, F. Approximate Numerical Procedures for the Navier-Stokes System Through the Generalized Method of Lines. Preprints.org2023, 2023020422. https://doi.org/10.20944/preprints202302.0422.v1
Botelho, F. Approximate Numerical Procedures for the Navier-Stokes System Through the Generalized Method of Lines. Preprints.org 2023, 2023020422. https://doi.org/10.20944/preprints202302.0422.v1
Cite as:
Botelho, F. Approximate Numerical Procedures for the Navier-Stokes System Through the Generalized Method of Lines. Preprints.org2023, 2023020422. https://doi.org/10.20944/preprints202302.0422.v1
Botelho, F. Approximate Numerical Procedures for the Navier-Stokes System Through the Generalized Method of Lines. Preprints.org 2023, 2023020422. https://doi.org/10.20944/preprints202302.0422.v1
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.
