Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations
A first-order linear fully discrete scheme is studied for the incompressible time-dependent Navier–Stokes equations in three-dimensional domains. This scheme is based on an incremental pressure projection method and decouples each component of the velocity and the pressure, solving in each time step...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::5c7b9997a9e2d8359f5a12c0f2bf1b97 |
| Acesso em linha: | https://hdl.handle.net/11441/187134 https://doi.org/10.1016/j.cam.2017.02.025 |
| Access Level: | acceso abierto |
| Palavra-chave: | Navier–Stokes equations Incremental pressure projection schemes Segregated scheme Error estimates Finite-elements |
| Resumo: | A first-order linear fully discrete scheme is studied for the incompressible time-dependent Navier–Stokes equations in three-dimensional domains. This scheme is based on an incremental pressure projection method and decouples each component of the velocity and the pressure, solving in each time step, a linear convection–diffusion problem for each component of the velocity and a Poisson–Neumann problem for the pressure. Using an inf–sup stable and continuous finite-elements approach of order 0 (h) in space, unconditional optimal error estimates of order 0 (k + h) are deduced for velocity and pressure (without imposing constraints on the mesh size h and the time step k). Finally, some numerical results are performed to validate the theoretical analysis, and also to compare the studied scheme with other current first-order segregated schemes. |
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