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Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization method

Opened Access Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization method

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Autor: Ahmed, Naveed
Chacón Rebollo, Tomás
John, Volker
Rubino, Samuele
Departamento: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Fecha: 2016
Publicado en: IMA Journal of Numerical Analysis, 2016, 1-31.
Tipo de documento: Artículo
Resumen: 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.
Cita: Ahmed, N., Chacón Rebollo, T., John, V. y Rubino, S. (2016). Analysis of a full space-time discretization of the Navier-Stokes equations by a local projection stabilization method. IMA Journal of Numerical Analysis, 2016, 1-31.
Tamaño: 687.3Kb
Formato: PDF

URI: http://hdl.handle.net/11441/49064

DOI: 10.1093/imanum/drw048

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