This book describes why and how to do Scientific Computing for fundamental models of fluid
flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely …

A parametric study of multiple steady states, their stability, onset of oscillatory instability, and
some supercritical unsteady regimes of convective flow of a Boussinesq fluid in laterally …

The transition from laminar to turbulent of the natural-convection flow inside a square,
differentially heated cavity with adiabatic horizontal walls is calculated, using the finite …

Algebraic multigrid (AMG) is one of the most effective iterative methods for the solution of
large, sparse linear systems obtained from the discretization of second-order scalar elliptic …

This paper focuses on recent progress made in the understanding of fluid flow in Bridgman
growth and its effect on segregation in the crystals. Horizontal (HB) as well as vertical …

The influence of thermocapillary forces on buoyancy-driven convection is numerically
simulated for shallow open cavities with differentially heated endwalls and filled with low …

Free convection in liquid metals is of significant practical interest to the crystal-growing
community since the adverse effects of convective instabilities in the melt phase can be …

Pseudospectral methods are used for the computation of the time‐dependent convective
flows which arise in shallow cavities filled with low‐Prandtí‐number liquids when submitted …

In § , the trial method, Newton's method, and the total linearization method are applied to a
simple one-dimensional free boundary (FB) problem for which the solution is known …

In this article the interplay among different types of flow (ie induced by driving forces of a
different nature) is presented as a possible and “natural” means to control convection …