2 citations · 2 across the 2 of their papers we have counts for
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Artificial compressibility method for the incompressible Navier-Stokes equations with variable density
Cappanera Loic, Giordano Salvatore
We introduce a novel artificial compressibility technique to approximate the incompressible Navier-Stokes equations with variable fluid properties such as density and dynamical vis…
The role of boundary constraints in simulating a nonlocal Gray-Scott model
Loic Cappanera, Gabriela Jaramillo
We present a second-order algorithm for approximating solutions to nonlocal diffusive processes in reaction-diffusion equations. The numerical scheme relies on a quadrature method…
Numerical Methods for a Diffusive Class Nonlocal Operators
Loic Cappanera, Gabriela Jaramillo, Cory Ward
In this paper we develop a numerical scheme based on quadratures to approximate solutions of integro-differential equations involving convolution kernels, , of diffusive type. I…
Convergence of a finite element method for degenerate two-phase flow in porous media
Girault Vivette, Riviere Beatrice, Cappanera Loic
A finite element method with mass-lumping and flux upwinding, is formulated for solving the immiscible two-phase flow problem in porous media. The method approximates directly the…