A new streamfunction/log-conformation formulation of incompressible viscoelastic flows is
presented. The log-conformation representation guaranties the positive-definiteness of the …

It is well-known that non-periodic boundary conditions reduce considerably the overall
accuracy of an approximating scheme. In previous papers the present authors have studied …

In this paper, we present numerical solutions of the Oldroyd-B fluid flowing through a 4: 1
planar contraction, for Weissenberg numbers (Wi) up to 20. The incompressible viscoelastic …

In this present paper, we propose and analyze a C 1-conforming virtual element method to
solve the so-called one-layer stationary quasi-geostrophic equations (QGE) with …

This volume deals with the classical Navier-Stokes system of equations governing the
planar flow of incompressible, viscid fluid. It is a first-of-its-kind book, devoted to all aspects …

This paper presents a conforming finite element discretization of the streamfunction
formulation of the one-layer stationary quasi-geostrophic equations, which are a commonly …

Generating precise in vivo arterial endothelial hemodynamic microenvironments using
microfluidics is essential for exploring endothelial mechanobiology. However, a …

In this paper, a pure streamfunction high-order compact (HOC) difference solver is proposed
for three-dimensional (3D) steady incompressible flows. A physics-preserving pure …

Abstract Singularly perturbed barotropic Quasi-Geostrophic (QG) models are considered. A
boundary layer analysis is presented and the convergence of solutions is studied. Based on …

The main purpose of this work is to provide a Hilbertian functional framework for the analysis
of the planar incompressible Navier–Stokes (NS) equations either in vorticity or in stream …