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 paper assesses some recent trends in the novel numerical meshless method smoothed
particle hydrodynamics, with particular focus on its potential use in modelling free-surface …

Up-to-Date Coverage of the Navier–Stokes Equation from an Expert in Harmonic Analysis
The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize …

This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …

For decades, computational fluid dynamics (CFD) has been applied to built-environment
related simulations such as those of building ventilation, indoor airflow, and contaminant …

Spectral methods have long been popular in direct and large eddy simulation of turbulent
flows, but their use in areas with complex-geometry computational domains has historically …

The purpose and organisation of this book are described in the preface to the first edition
(1988). In preparing this edition minor changes have been made, par ticularly to Chap. 1 …

German Copyright Law where copies are made for other than private use, a fee is payable to
the publisher, the amount of the fee to be determined by agreement with the publisher.© by …

In this work a stabilised and reduced Galerkin projection of the incompressible unsteady
Navier–Stokes equations for moderate Reynolds number is presented. The full-order model …

to the Navier-Stokes Equations* Page 1 On the Convergence of Discrete Approximations to the
Navier-Stokes Equations* By Alexandre Joel Chorin Abstract. A class of useful difference …