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 review paper presents an overview of Vortex Methods for flow simulation and their
different sub-approaches, from their creation to the present. Particle methods distinguish …

This paper is devoted to the definition, analysis and implementation of semi-Lagrangian
methods as they result from particle methods combined with remeshing. We give a complete …

We present a higher-order convergent numerical solver for active polar hydrodynamics in
three-dimensional domains of arbitrary shape, along with a scalable open-source software …

This paper presents a two-dimensional implementation of the high-order penalized vortex in
cell method applied to solve the flow past an airfoil with a vortex trapping cavity operating …

A hybrid solver for external compressible flows is formulated by combining a standard finite
volume Eulerian CFD solver with a Lagrangian (particle) one. The Eulerian domain is …

A vortex method with penalization is proposed in order to simulate three-dimensional
incompressible bluff body flows. This approach combines the robustness of vortex methods …

In this work, a penalization method is discussed in the context of vortex methods for
incompressible flows around complex geometries. In particular, we illustrate the method in …

This article shows how to consistently and accurately manage the Lagrangian formulation of
chemical reaction equations coupled with the superficial velocity formalism introduced in the …

This article presents a new approach for the resolution of large three-dimensional Stokes
equations with variable viscosity fluids, coupled with transport equations. After building the …