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On the determination of the grad-div criterion

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Grad-div stabilization, adding a term -gamma grad div u, has proven to be a useful tool in the simulation of incompressible flows. Such a term requires a choice of the… Click to show full abstract

Grad-div stabilization, adding a term -gamma grad div u, has proven to be a useful tool in the simulation of incompressible flows. Such a term requires a choice of the coefficient gamma and studies have begun appearing with various suggestions for its value. We give an analysis herein that provides a restricted range of possible values for the coefficient in 3d turbulent flows away from walls.

Keywords: grad div; div criterion; determination grad; grad

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2018

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