A second-order cell-centered finite-volume method is proposed to solve the steady advection-diffusion equation for contaminant transport in porous media. This method is based on a linear least square reconstruction that maintains the approximate cell-average values. The reconstruction is combined with an appropriate slope limiter to prevent the formation of spurious oscillations in the convection-dominated case. The theoretical convergence rate is investigated on a boundary layer problem, and the preliminar results show that the method is promising in the numerical simulation of more complex groundwater flow problems. © 2004 IMACS. Published by Elsevier B.V. All rights reserved.
Least square-based finite volumes for solving the advection-diffusion of contaminants in porous media
Bertolazzi, Enrico;
2004-01-01
Abstract
A second-order cell-centered finite-volume method is proposed to solve the steady advection-diffusion equation for contaminant transport in porous media. This method is based on a linear least square reconstruction that maintains the approximate cell-average values. The reconstruction is combined with an appropriate slope limiter to prevent the formation of spurious oscillations in the convection-dominated case. The theoretical convergence rate is investigated on a boundary layer problem, and the preliminar results show that the method is promising in the numerical simulation of more complex groundwater flow problems. © 2004 IMACS. Published by Elsevier B.V. All rights reserved.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
