Numerical models that combine weather forecasting and atmospheric chemistry are here
referred to as chemical weather forecasting models. Eighteen operational chemical weather …

Abstract Geometrical Volume-of-Fluid (VoF) methods mainly support structured meshes, and
only a small number of contributions in the scientific literature report results with unstructured …

A new algorithm for the volume tracking of interfaces in two dimensions is presented. The
algorithm is based upon a well-defined, second-order geometric solution of a volume …

This book deals with numerical methods for solving partial differential equa tions (PDEs)
coupling advection, diffusion and reaction terms, with a focus on time-dependency. A …

In this paper, we propose a new numerical method for improving the mass conservation
properties of the level set method when the interface is passively advected in a flow field …

An algorithm for extending one-dimensional, forward-in-time, upstream-biased, flux-form
transport schemes (eg, the van Leer scheme and the piecewise parabolic method) to …

Two time-splitting methods for integrating the elastic equations are presented. The methods
are based on a third-order Runge–Kutta time scheme and the Crowley advection schemes …

A class of high-resolution algorithms is developed for advection of a scalar quantity in a
given incompressible flow field in one, two, or three space dimensions. Multidimensional …

The Meso-NH Atmospheric Simulation System is a joint effort of the Centre National de
Recherches Météorologiques and Laboratoire d'Aérologie. It comprises several elements; a …

The idea of the simple positive definite advection scheme presented previously in Monthly
Weather Review (III (1983), 479) is improved for an optional multidimensional case and is …