The aim of this article is to present a few basic results on the mathematical theory and
numerical approximation of the Navier-Stokes equations of incompressible fluids. Since it …

This book describes the implementation of multilevel methods for the numerical simulation of
turbulent flows. The general ideas for the algorithms presented stem from dynamical …

High-Reynolds number solutions of Navier-Stokes equations using incremental unknowns
Page 1 Computer methods in applied mechanics and englneerlng EISEVIER Comput …

Based on the HSS (Hermitian and skew-Hermitian splitting) and preconditioned HSS
methods, we will present a generalized preconditioned HSS method for the large sparse …

In this paper we propose and study various multilevel schemes for solving unsteady
equations. Numerical comparisons between the choices of discretization and discussions …

The purpose of this monograph is to describe the dynamic multilevel (DML) methodology
applied to the numerical simulation of turbulence. The general setting of the Navier—Stokes …

By utilizing the preconditioned Hermitian and skew-Hermitian splitting (PHSS) iteration
technique, we establish a non-alternating PHSS (NPHSS) iteration method for solving large …

Summary The IMG algorithm (Inertial Manifold-Multigrid algorithm) which uses the first-order
incremental unknowns was introduced in [20]. The IMG algorithm is aimed at numerically …

Let (xn) and (◯ n) be two vector sequences converging to a common limit. First, we shall
define nonlinear hybrid procedures which consist of constructing a new vector sequence …

Ranging from Re= 100 to Re= 20,000, several computational experiments are conducted,
Re being the Reynolds number. The primary vortex stays put, and the longterm dynamic …