On MAC schemes on triangular delaunay meshes, their convergence and application to coupled flow problems

2014 ◽  
Vol 30 (4) ◽  
pp. 1397-1424 ◽  
Author(s):  
Robert Eymard ◽  
Jürgen Fuhrmann ◽  
Alexander Linke
Keyword(s):  
Coupled Flow ◽  
Flow Problems ◽  
Delaunay Meshes

scholarly journals Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions

2018 ◽  
Vol 52 (5) ◽  
pp. 1875-1911 ◽  
Author(s):  
Philippe Angot
Keyword(s):  
Tangential Velocity ◽  
Cross Flow ◽  
Jump Condition ◽  
Force Balance ◽  
Pressure Jump ◽  
Interface Conditions ◽  
Coupled Flow ◽  
Flow Problems ◽  
Porous Interface ◽  
Well Posed

The global well-posedness in time is proved, with no restriction on the size of the data, for the Stokes/Brinkman and Stokes/Darcy coupled flow problems with new jump interface conditions recently derived by Angot et al. [Phys. Rev. E 95 (2017) 063302-1–063302-16] using asymptotic modelling and shown to be physically relevant. These original conditions include jumps of both stress and tangential velocity vectors at the fluid–porous interface. They can be viewed as generalizations for the multi-dimensional flow of Beavers and Joseph’s jump condition of tangential velocity and Ochoa-Tapia and Whitaker’s jump condition of shear stress. Therefore, they are different from those most commonly used in the literature. The case of Saffman’s approximation is also studied, but with a force balance for the cross-flow including the Darcy drag and inducing a law of pressure jump different from the usual one. The proof of these results follows the general framework briefly introduced by Angot [C. R. Math. Acad. Sci. Paris, Ser. I 348 (2010) 697–702; Appl. Math. Lett. 24 (2011) 803–810.] for the steady flow.

scholarly journals Multigrid Reduction for Coupled Flow Problems with Application to Reservoir Simulation

2017 ◽  
Author(s):  
Lu Wang ◽  
Daniel Osei-Kuffuor ◽  
Rob Falgout ◽  
Ilya Mishev ◽  
Jizhou Li
Keyword(s):  
Reservoir Simulation ◽  
Coupled Flow ◽  
Flow Problems

An implicit 2D hydrodynamic numerical model for free surface-subsurface coupled flow problems

2018 ◽  
Vol 87 (7) ◽  
pp. 343-357 ◽  
Author(s):  
Naser Shokri ◽  
Masoud Montazeri Namin ◽  
Javad Farhoudi
Keyword(s):  
Free Surface ◽  
Numerical Model ◽  
Coupled Flow ◽  
Flow Problems

A new approach to flow problems past a screen

1985 ◽  
Author(s):  
O. INOUE ◽  
K. KUWAHARA
Keyword(s):  
New Approach ◽  
Flow Problems
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