The Rossiter modes of an open cavity were studied using bi-global linear analysis, local
instability analysis and nonlinear numerical simulations. Rossiter modes are normally seen …

In this work, we implement models that are able to describe complex rheological behaviour
(such as shear-banding and elastoviscoplasticity) in the HiGTree/HiGFlow system, which is …

Several flows of practical interest are of viscoelastic fluids and it is desirable to know if these
flows are in a laminar or turbulent state. In this paper, the laminar-turbulent transition is …

An exact projection method for the numerical solution of the incompressible Navier–Stokes
equations is devised. In all spatial discretizations, fourth-order compact finite differences are …

The development of high-fidelity versatile incompressible Navier–Stokes solver that is
applicable for both direct numerical simulations (DNSs) and linear global stability …

This work presents different formulations to obtain the solution for the Giesekus constitutive
model for a flow between two parallel plates. The first one is the formulation based on work …

The centrifugal instability mechanism in boundary layers over concave surfaces is
responsible for the development of counter-rotating vortices, aligned in the streamwise …

This paper presents results on a verification test of a Direct Numerical Simulation code of
mixed high‐order of accuracy using the method of manufactured solutions (MMS). This test …

Global instability analysis of flows is often performed via time-stepping methods, based on
the Arnoldi algorithm. When setting up these methods, several computational parameters …

Compact finite-difference formulations on nonuniform grids are developed by matching
Taylor series of various orders. The accuracies of those formulations are analyzed by the …