Enabling numerical accuracy of Navier-Stokes-α through deconvolution and enhanced stability
We propose and analyze a finite element method for approximating solutions to the Navier-Stokes-alpha model (NS-) that utilizes approximate deconvolution and a modified grad-div stabilization and greatly improves accuracy in simulations. Standard finite element schemes for NS- suffer from two major sources of error if their solutions are considered approximations to true fluid flow: (1) the consistency error arising from filtering; and (2) the dramatic effect of the large pressure error on the velocity...