Solutions for two coupled Stokes and Darcy flows around and in spheroidal inclusions

2022 ◽  
Vol 132 (1) ◽  
Author(s):  
A.-T. Tran ◽  
H. Le Quang ◽  
Q.-C. He ◽  
D.-H. Nguyen
Keyword(s):  
Darcy Flows

scholarly journals A multiscale flux basis for mortar mixed discretizations of Stokes–Darcy flows

2017 ◽  
Vol 313 ◽  
pp. 259-278 ◽  
Author(s):  
Benjamin Ganis ◽  
Danail Vassilev ◽  
ChangQing Wang ◽  
Ivan Yotov
Keyword(s):  
Darcy Flows

scholarly journals Concentration-based velocity reconstruction in convective Hele–Shaw flows

2020 ◽  
Vol 61 (9) ◽  
Author(s):  
Mobin Alipour ◽  
Marco De Paoli ◽  
Alfredo Soldati
Keyword(s):  
High Resolution ◽  
Velocity Field ◽  
Cost Effective ◽  
Velocity Fields ◽  
Reconstruction Process ◽  
Cost Effective Alternative ◽  
Laser Sources ◽  
Darcy Flows ◽  
Single Snapshot ◽  
Hele Shaw Cell

Abstract We examine the process of convective dissolution in a Hele–Shaw cell. We consider a one-sided configuration and we propose a newly developed method to reconstruct the velocity field from concentration measurements. The great advantage of this Concentration-based Velocity Reconstruction (CVR) method consists of providing both concentration and velocity fields with a single snapshot of the experiment recorded in high resolution. We benchmark our method vis–à–vis against numerical simulations in the instance of Darcy flows, and we also include dispersive effects to the reconstruction process of non-Darcy flows. The absence of laser sources and the presence of one low-speed camera make this method a safe, accurate, and cost-effective alternative to classical PIV/PTV velocimetry processes. Finally, as an example of possible application, we employ the CVR method to analyse the tip splitting phenomena. Graphic abstract

A stabilized hybrid mixed DGFEM naturally coupling Stokes–Darcy flows

2018 ◽  
Vol 339 ◽  
pp. 739-768 ◽  
Author(s):  
Iury Igreja ◽  
Abimael F.D. Loula
Keyword(s):  
Darcy Flows

Darcy and post-Darcy flows within different sands

2005 ◽  
Vol 43 (6) ◽  
pp. 724-727
Author(s):  
D. Hansen
Keyword(s):  
Darcy Flows

Mixed Variational Formulation and Numerical Analysis of Thermally Coupled Nonlinear Darcy Flows

2013 ◽  
Vol 51 (5) ◽  
pp. 2746-2772
Author(s):  
Jiang Zhu ◽  
Jiansong Zhang ◽  
Abimael F. D. Loula ◽  
Luiz Bevilacqua
Keyword(s):  
Numerical Analysis ◽  
Variational Formulation ◽  
Mixed Variational Formulation ◽  
Darcy Flows

scholarly journals Gradient discretization of hybrid dimensional Darcy flows in fractured porous media

2015 ◽  
Vol 134 (3) ◽  
pp. 569-609 ◽  
Author(s):  
Konstantin Brenner ◽  
Mayya Groza ◽  
Cindy Guichard ◽  
Gilles Lebeau ◽  
Roland Masson
Keyword(s):  
Porous Media ◽  
Fractured Porous Media ◽  
Darcy Flows

Boundary integral solutions of coupled Stokes and Darcy flows

2009 ◽  
Vol 228 (1) ◽  
pp. 158-179 ◽  
Author(s):  
Svetlana Tlupova ◽  
Ricardo Cortez
Keyword(s):  
Boundary Integral ◽  
Darcy Flows ◽  
Integral Solutions

Darcy and post-Darcy flows within different sands

2002 ◽  
Vol 40 (4) ◽  
pp. 519-525 ◽  
Author(s):  
Imam Wahyudi ◽  
Agnés Montillet ◽  
Abderahmaneo.A. Khalifa
Keyword(s):  
Darcy Flows

scholarly journals Locally Conservative Coupling of Stokes and Darcy Flows

2005 ◽  
Vol 42 (5) ◽  
pp. 1959-1977 ◽  
Author(s):  
Béatrice Rivière ◽  
Ivan Yotov
Keyword(s):  
Darcy Flows ◽  
Locally Conservative
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