We study mathematical and physical properties of a family of recently introduced, reduced-
order approximate deconvolution models. We first show a connection between these models …

A defect-deferred correction method, increasing both temporal and spatial accuracy, for fluid-
fluid interaction problem with nonlinear interface condition is considered by geometric …

We present an analytical and numerical study of the reduced NS-α (rNS-α) model of
incompressible fluid flow, which was recently proposed as an approximation to NS-α that …

We introduce a new regularization model for incompressible fluid flow, which is a
regularization of the EMAC (energy, momentum, and angular momentum conserving) …

We consider the stability of an efficient Crank–Nicolson–Adams–Bashforth method in time,
finite element in space, discretization of the Leray‐α model. We prove finite‐time stability of …

We show that both the Taylor‐eddy and Kovasznay exact solutions of the Navier‐Stokes
equations are also exact solutions of both the NS‐α‐deconvolution and Leray‐α …

To better understand and solve problems involving the natural phenomenon of fluid and air
flows, one must understand the Navier-Stokes equations. Branching several different fields …

We consider semidiscrete ODE models of single-phase fluids and two-fluid mixtures. In the
presence of multiple fine-scale heterogeneities, the size of these ODE systems can be very …

This thesis studies regularization models as a way to approximate a flow simulation at a
lower computational cost. The Leray model is more easily computed than the Navier-Stokes …

Accurate direct numerical simulation (DNS) of the Navier–Stokes equations (NSE) at high
Reynolds numbers is well known to be a formidable computational challenge. To overcome …