ABSTRACT In this paper, we will combine an upwind radial basis function-finite element with direct velocity–pressure formulation to study the two-dimensional Navier-Stokes equations free surface flows. We examine in improved mixed-order finite and localized function method. A particle tracking method arbitrary Lagrangian-Eulerian scheme then be applied simulate high Reynolds An based on a diffe...

Over the last two decades, interest in free-surface behaviour of gravity-driven shallow turbulent flows has increased considerably. It is believed that observation can provide useful information about hydrodynamic characteristics flow and enable remote retrieval these to non-invasively rapidly monitor river flows. At current state literature presents scattered knowledge also exhibits non-unifor...

By J. M. LOPEZ, F. MARQUES, A. H. HIRSA AND R. MIRAGHAIE Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA Departament de Fı́sica Aplicada, Universitat Politècnica de Catalunya, Jordi Girona Salgado s/n, Mòdul B4 Campus Nord, 08034 Barcelona, Spain Department of Mechanical, Aerospace, and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180...

This work is the first step towards a multiphysics strategy for freesurface flows simulation. In particular, we present a strategy to couple one and two-dimensional hydrostatic free surface flow models. We aim to reduce the computational cost required by a full 2D model. After introducing the two models along with suitable a priori error estimates, we discuss the choice of convenient matching c...

Steady and unsteady two-dimensional free surface flows subjected to one or multiple disturbances are considered. Flow configurations involving either a single fluid or two layers of fluid of different but constant densities, are examined. Both the effects of gravity and surface tension are included. Fully nonlinear boundary integral equation techniques based on Cauchy’s integral formula are use...

This work represents a first step towards the simulation of the motion of water in a complex hydrodynamic configuration, such as a channel network or a river delta, by means of a suitable “combination” of different mathematical models. In this framework a wide spectrum of space and time scales is involved due to the presence of physical phenomena of different nature. Ideally, moving from a hier...