Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization method
A finite element error analysis of a local projection stabilization (LPS) method for the time-dependent Navier–Stokes equations is presented. The focus is on the high-order term-by-term stabilization method that has one level, in the sense that it is defined on a single mesh, and in which the projec...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/49064 |
| Acceso en línea: | http://hdl.handle.net/11441/49064 https://doi.org/10.1093/imanum/drw048 |
| Access Level: | acceso abierto |
| Palabra clave: | Evolutionary incompressible Navier-Stokes equations High order term-byterm LPS scheme Finite element error analysis High Reynolds number flows |
| Sumario: | A finite element error analysis of a local projection stabilization (LPS) method for the time-dependent Navier–Stokes equations is presented. The focus is on the high-order term-by-term stabilization method that has one level, in the sense that it is defined on a single mesh, and in which the projection-stabilized structure of standard LPS methods is replaced by an interpolation-stabilized structure. The main contribution is on proving, theoretically and numerically, the optimal convergence order of the arising fully discrete scheme. In addition, the asymptotic energy balance is obtained for slightly smooth flows. Numerical studies support the analytical results and illustrate the potential of the method for the simulation of turbulent flows. Smooth unsteady flows are simulated with optimal order of accuracy. |
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