dorsal/arxiv
View SchemaIncompressible Couette Flow
| Authors | Maciej Matyka |
|---|---|
| Categories | |
| ArXiv ID | physics/0302010 |
| URL | https://arxiv.org/abs/physics/0302010 |
Abstract
This project work report provides a full solution of simplified Navier Stokes equations for The Incompressible Couette Problem. The well known analytical solution to the problem of incompressible couette is compared with a numerical solution. In that paper, I will provide a full solution with simple C code instead of MatLab or Fortran codes, which are known. For discrete problem formulation, implicit Crank-Nicolson method was used. Finally, the system of equation (tridiagonal) is solved with both Thomas and simple Gauss Method. Results of both methods are compared.
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"date_created": "2026-03-02T18:00:42.281000Z",
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"record": {
"abstract": "This project work report provides a full solution of simplified Navier Stokes\nequations for The Incompressible Couette Problem. The well known analytical\nsolution to the problem of incompressible couette is compared with a numerical\nsolution. In that paper, I will provide a full solution with simple C code\ninstead of MatLab or Fortran codes, which are known. For discrete problem\nformulation, implicit Crank-Nicolson method was used. Finally, the system of\nequation (tridiagonal) is solved with both Thomas and simple Gauss Method.\nResults of both methods are compared.",
"arxiv_id": "physics/0302010",
"authors": [
"Maciej Matyka"
],
"categories": [
"physics.comp-ph",
"physics.flu-dyn"
],
"title": "Incompressible Couette Flow",
"url": "https://arxiv.org/abs/physics/0302010"
},
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