@Article{IJNAM-9-3,
author = {R., Bürger and Ruiz-Baier, R. and Schneider, K. and Torres, H.},
title = {A Multiresolution Method for the Simulation of Sedimentation in Included Channels},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2012},
volume = {9},
number = {3},
pages = {479--504},
abstract = {<p style="text-align: justify;">An adaptive multiresolution scheme is proposed for the numerical solution of a spatially
two-dimensional model of sedimentation of suspensions of small solid particles dispersed
in a viscous fluid. This model consists in a version of the Stokes equations for incompressible fluid flow coupled with a hyperbolic conservation law for the local solids concentration. We study
the process in an inclined, rectangular closed vessel, a configuration that gives rise a well-known
increase of settling rates (compared with a vertical vessel) known as the &quot;Boycott effect&quot;. Sharp
fronts and discontinuities in the concentration field are typical features of sedimentation phenomena.
This solution behavior calls for locally refined meshes to concentrate computational effort
on zones of strong variation. The spatial discretization presented herein is naturally based on a
finite volume (FV) formulation for the Stokes problem including a pressure stabilization technique,
while a Godunov-type scheme endowed with a fully adaptive multiresolution (MR) technique is
applied to capture the evolution of the concentration field, which in addition induces an important
speed-up of CPU time and savings in memory requirements. Numerical simulations illustrate that
the proposed scheme is robust and allows for substantial reductions in computational effort while
the computations remain accurate and stable.</p>},
issn = {2617-8710},
doi = {https://doi.org/2012-IJNAM-643},
url = {https://global-sci.com/article/83484/a-multiresolution-method-for-the-simulation-of-sedimentation-in-included-channels}
}