TY - JOUR
T1 - A Semi-Lagrangian Vortex Penalization Method for 3D Incompressible Flows
AU - Mimeau , Chlo
AU - Mortazavi , Iraj
AU - Cottet , Georges-Henri
JO - Journal of Mathematical Study
VL - 3
SP - 277
EP - 298
PY - 2019
DA - 2019/09
SN - 52
DO - http://doi.org/10.4208/jms.v52n3.19.04
UR - https://global-sci.org/intro/article_detail/jms/13299.html
KW - Semi-Lagrangian method, remeshed Vortex method, penalization approach, bluff body flows, DNS.
AB - <p style="text-align: justify;">A remeshed Vortex method is proposed in this work to simulate three-dimensional incompressible flows. The convection equation is solved on particles,
using a Vortex method, which are then remeshed on a Cartesian underlying grid. The
other differential operators involved in the governing incompressible Navier-Stokes
equations are discretized on the grid, through finite differences method or in spectral
space. In the present work, the redistribution of the particles on the Cartesian mesh
is performed using a directional splitting, allowing to save significant computational
efforts especially in the case of 3D flows. A coupling of this semi-Lagrangian method
with an immersed boundary method, namely the Brinkman penalization technique, is
proposed in this paper in order to efficiently take into account the presence of solid
and porous obstacles in the fluid flow and then to perform passive flow control using porous medium. This method, which combines the robustness of particle methods
and the flexibility of penalization method, is validated and exploited in the context of
different flow physics.</p>