Artículo
Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling
Autor/es | Badia, Santiago
Gutiérrez Santacreu, Juan Vicente |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2017 |
Fecha de depósito | 2019-10-17 |
Publicado en |
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Resumen | In this work we prove that weak solutions constructed by a variational multiscale method
are suitable in the sense of Scheffer. In order to prove this result, we consider a subgrid model
that enforces orthogonality between ... In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of Scheffer. In order to prove this result, we consider a subgrid model that enforces orthogonality between subgrid and finite element components. Further, the subgrid component must be tracked in time. Since this type of schemes introduce pressure stabilization, we have proved the result for equal-order velocity and pressure finite element spaces that do not satisfy a discrete inf-sup condition. |
Identificador del proyecto | No. 258443 - COMFUS
FP7 NUMEXAS project 611636 MTM2015-69875-P |
Cita | Badia, S. y Gutiérrez Santacreu, J.V. (2017). Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling. Journal of Scientific Computing, 71 (1), 386-413. |
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