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arXiv · 1712.00413

Robust and Efficient Modular Grad-Div Stabilization

Joseph Anthony Fiordilino·William Layton·Yao Rong
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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 breakdown (locking) 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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Joseph Anthony Fiordilino, William Layton, Yao Rong. 2017-12-01. Robust and Efficient Modular Grad-Div Stabilization. https://doi.org/10.1016/j.cma.2018.02.023

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