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Numerical study of a regularization model for incompressible flow with deconvolution-based adaptive nonlinear filtering.
- Source :
-
Computer Methods in Applied Mechanics & Engineering . May2013, Vol. 258, p1-12. 12p. - Publication Year :
- 2013
-
Abstract
- Abstract: We study a trapezoidal-in-time, finite-element-in-space discretization of a new Leray regularization model that locally chooses the filtering radius using a deconvolution based indicator function to identify regions where regularization is needed. Because this indicator function is mathematically based, it allows us to establish a rigorous analysis of the resulting numerical algorithm. We prove well-posedness, unconditional stability, and convergence of the proposed algorithm, and test the model on several benchmark problems. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 258
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 89203853
- Full Text :
- https://doi.org/10.1016/j.cma.2013.02.003