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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… Click to show full abstract
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.
Journal Title: Computer Methods in Applied Mechanics and Engineering
Year Published: 2018
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