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A Cartesian grid finite-difference method for 2D incompressible viscous flows in irregular geometries
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sanmiguel-Rojas, Enrique Ortega-Casanova, Joaquín Pino, Carlos Del Fernández-Feria, Ramón |
| Copyright Year | 2005 |
| Abstract | A method for generating a non-uniform Cartesian grid for irregular two-dimensional (2D) geometries such that all the boundary points are regular mesh points is given. The resulting non-uniform grid is used to discretize the Navier-Stokes equations for 2D incompressible viscous flows using finite-difference approximations. To that end, finite-difference approximations of the derivatives on a non-uniform mesh are given. We test the method with two different examples: the shallow water flow on a lake with irregular contour and the pressure driven flow through an irregular array of circular cylinders. |
| Starting Page | 302 |
| Ending Page | 318 |
| Page Count | 17 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.jcp.2004.10.010 |
| Volume Number | 204 |
| Alternate Webpage(s) | http://atarazanas.sci.uma.es/docs/tesisuma/16615189.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.jcp.2004.10.010 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |