A discretization is proposed for models coupling free flow with anisotropic porous-medium flow. Our approach employs a staggered-grid finite volume method for the Navier-Stokes equations in the free-flow subdomain and a MPFA finite volume method to solve Darcy flow in the porous medium. After appropriate spatial refinement in the free-flow domain, the degrees of freedom are conveniently located to allow for a natural coupling of the two discretization schemes. In turn, we automatically obtain a more accurate description of the flow field surrounding the porous medium. Numerical experiments highlight the stability and applicability of the scheme in the presence of anisotropy and second-order grid convergence was found in both domains, verifying our approach.
%0 Journal Article
%1 schneider2020coupling
%A Schneider, Martin
%A Weishaupt, Kilian
%A Gläser, Dennis
%A Boon, Wietse M.
%A Helmig, Rainer
%D 2020
%I Elsevier
%J Journal of Computational Physics
%K EXC2075 pn1
%P 109012
%R 10.1016/j.jcp.2019.109012
%T Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems
%U https://doi.org/10.1016/j.jcp.2019.109012
%V 401
%X A discretization is proposed for models coupling free flow with anisotropic porous-medium flow. Our approach employs a staggered-grid finite volume method for the Navier-Stokes equations in the free-flow subdomain and a MPFA finite volume method to solve Darcy flow in the porous medium. After appropriate spatial refinement in the free-flow domain, the degrees of freedom are conveniently located to allow for a natural coupling of the two discretization schemes. In turn, we automatically obtain a more accurate description of the flow field surrounding the porous medium. Numerical experiments highlight the stability and applicability of the scheme in the presence of anisotropy and second-order grid convergence was found in both domains, verifying our approach.
@article{schneider2020coupling,
abstract = {A discretization is proposed for models coupling free flow with anisotropic porous-medium flow. Our approach employs a staggered-grid finite volume method for the Navier-Stokes equations in the free-flow subdomain and a MPFA finite volume method to solve Darcy flow in the porous medium. After appropriate spatial refinement in the free-flow domain, the degrees of freedom are conveniently located to allow for a natural coupling of the two discretization schemes. In turn, we automatically obtain a more accurate description of the flow field surrounding the porous medium. Numerical experiments highlight the stability and applicability of the scheme in the presence of anisotropy and second-order grid convergence was found in both domains, verifying our approach.},
added-at = {2022-03-21T10:07:03.000+0100},
author = {Schneider, Martin and Weishaupt, Kilian and Gläser, Dennis and Boon, Wietse M. and Helmig, Rainer},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2dd3f3ffa057697053f8ea36586868ff8/simtechpuma},
doi = {10.1016/j.jcp.2019.109012},
interhash = {de488b1d8d57befabadf58cad6fa3e72},
intrahash = {dd3f3ffa057697053f8ea36586868ff8},
journal = {Journal of Computational Physics},
keywords = {EXC2075 pn1},
pages = 109012,
publisher = {Elsevier},
timestamp = {2022-03-21T09:07:03.000+0100},
title = {Coupling staggered-grid and MPFA finite volume methods for free flow/porous-medium flow problems},
url = {https://doi.org/10.1016/j.jcp.2019.109012},
volume = 401,
year = 2020
}
