Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 258, Issue -, Pages 1-12Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2013.02.003
Keywords
Leray regularization; Nonlinear filtering; Finite element method; Approximate deconvolution
Funding
- NSF [DMS1112593]
- Direct For Computer & Info Scie & Enginr
- Division Of Computer and Network Systems [1228312] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1112593] Funding Source: National Science Foundation
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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.(C) 2013 Elsevier B.V. All rights reserved.
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