A convergence result for a parallel algorithm for solving the Navier-Stokes equations
This work is concerned with the convergence/stability analysis of a parallel algorithm which is used to solve the incompressible Navier-Stokes problem. This relies on a splitting of the main differential operator, thanks to which the most important difficulties (nonlinearity and incompressibility) c...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1998 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::b1045c4ddce1989338977c9ba67bb2b3 |
| Acceso en línea: | https://hdl.handle.net/11441/186582 https://doi.org/10.1016/S0898-1221(97)00290-3 |
| Access Level: | acceso abierto |
| Palabra clave: | Numerical simulation Computational fluid dynamics Parallel algorithm Navier-Stokes equations Splitting methods |
| Sumario: | This work is concerned with the convergence/stability analysis of a parallel algorithm which is used to solve the incompressible Navier-Stokes problem. This relies on a splitting of the main differential operator, thanks to which the most important difficulties (nonlinearity and incompressibility) can be considered independently. Thus, one is led to the formulation of subproblems of two kinds which can be solved simultaneously by two different processors. We prove conditional stability and convergence; this can serve to justify the accuracy of previous numerical results. |
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