On the determination of the grad-div criterion
For researchers simulating incompressible flows, this work offers a theoretically grounded range for gamma, reducing guesswork in parameter selection.
The paper provides an analysis to determine a restricted range of values for the grad-div stabilization coefficient gamma in 3d turbulent flows away from walls, addressing the need for a principled choice of this parameter.
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.