Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6915505 | Computer Methods in Applied Mechanics and Engineering | 2018 | 20 Pages |
Abstract
This paper presents two modular grad-div algorithms for calculating solutions to the Navier-Stokes equations (NSE). These algorithms add to an NSE code a minimally intrusive module that implements grad-div stabilization. The algorithms do not suffer from either solver breakdown or debilitating slow down for large values of grad-div parameters. Stability and optimal-order convergence of the methods are proven. Numerical tests confirm the theory and illustrate the benefits of these algorithms over a fully coupled grad-div stabilization.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
J.A. Fiordilino, W. Layton, Y. Rong,