A meshless method to simulate solute transport in heterogeneous porous media |
| |
| Authors: | Paulo A Herrera Marco Massabó Roger D Beckie |
| |
| Institution: | 1. Department of Earth and Ocean Sciences, University of British Columbia, 6339 Stores Road, Vancouver, British Columbia, Canada V6T 1Z4;2. CIMA Research Foundation, International Centre on Environmental Monitoring University Campus, Via A. Magliotto, 2 – 17100 Savona, Italy |
| |
| Abstract: | We derive a meshless numerical method based on smoothed particle hydrodynamics (SPH) for the simulation of conservative solute transport in heterogeneous geological formations. We demonstrate that the new proposed scheme is stable, accurate, and conserves global mass. We evaluate the performance of the proposed method versus other popular numerical methods for the simulation of one- and two-dimensional dispersion and two-dimensional advective–dispersive solute transport in heterogeneous porous media under different Pèclet numbers. The results of those benchmarks demonstrate that the proposed scheme has important advantages over other standard methods because of its natural ability to control numerical dispersion and other numerical artifacts. More importantly, while the numerical dispersion affecting traditional numerical methods creates artificial mixing and dilution, the new scheme provides numerical solutions that are “physically correct”, greatly reducing these artifacts. |
| |
| Keywords: | Advection Dispersion Solute transport Porous media Numerical dispersion Lagrangian numerical methods Meshless numerical methods |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
