Artículo
Fully Discrete Approximations to the Time-Dependent Navier–Stokes Equations with a Projection Method in Time and Grad-Div Stabilization
Autor/es | Frutos, Javier de
García-Archilla, Bosco Novo, Julia |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Fecha de publicación | 2019-08-15 |
Fecha de depósito | 2023-12-19 |
Publicado en |
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Resumen | This paper studies fully discrete approximations to the evolutionary Navier–Stokes equations by means of inf-sup stable H1-conforming mixed finite elements with a grad-div type stabilization and the Euler incremental ... This paper studies fully discrete approximations to the evolutionary Navier–Stokes equations by means of inf-sup stable H1-conforming mixed finite elements with a grad-div type stabilization and the Euler incremental projection method in time. We get error bounds where the constants do not depend on negative powers of the viscosity. We get the optimal rate of convergence in time of the projection method. For the spatial error we get a bound O(hk) for the L2 error of the velocity, k being the degree of the polynomials in the velocity approximation. We prove numerically that this bound is sharp for this method. |
Agencias financiadoras | Ministerio de Economía. España Agencia Española de Investigación European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) Junta de Castilla-León |
Identificador del proyecto | MTM2016-78995-P
VA024P17 VA105G18 MTM2015-65608-P |
Cita | de Frutos, J., García-Archilla, B. y Novo, J. (2019). Fully Discrete Approximations to the Time-Dependent Navier–Stokes Equations with a Projection Method in Time and Grad-Div Stabilization. Journal of Scientific Computing, 80 (2), 1330-1368. https://doi.org/10.1007/s10915-019-00980-9. |
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