This manuscript presents a benchmark problem for the simulation of single-phase flow,
reactive transport, and solid geometry evolution at the pore scale. The problem is organized …

This book comprises seven chapters, an appendix, a bibliographical section 98 references,
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …

Fluid dynamics is an ancient science incredibly alive today. Modern technol ogy and new
needs require a deeper knowledge of the behavior of real fluids, and new discoveries or …

Recent contributions to vortex particle methods for the computation of three-dimensional
incompressible unsteady flows are presented. Both singular and regularized vortex particle …

The book introduces the fundamentals of fluid-mechanics, momentum theories, vortex
theories and vortex methods necessary for the study of rotors aerodynamics and wind …

Given a large ensemble of interacting particles, driven by nonlocal interactions and localized
repulsion, the mean-field limit leads to a class of nonlocal, nonlinear partial differential …

Drag reduction strategies for the turbulent flow around a D-shaped body are examined
experimentally and theoretically. A reduced-order vortex model describes the interaction …

A comprehensive review is presented of the computational methods based upon
Helmholtz's powerful concepts of vortex dynamics, making use of Lagrangian or mixed …

1. Weak and measure solutions of linear hyperbolic equations. 2. Generalities on the particle
method.•••..••• 3. Approximation of functions by Dirac measures.•.•• 4. Convergence of the …

We present and analyze extensions of the streamline diffusion finite element method to the
time-dependent two-dimensional Navier-Stokes equations for an incompressible fluid in the …