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A least squares augmented immersed interface method for solving Navier-Stokes and Darcy coupling equations

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Fig. 1. A diagram of a fluid flow and porous media. In the diagram, n and  τ are the  unit normal and tangential directions, respectively
Fig. 2. Velocity plot of a fluid flow and a porous media (inside the domain) modeled by the Navier–Stokes and Darcy coupling
Fig. 3. Velocity plot of a porous media and a fluid flow (inside the domain) modeled by (a) the Darcy and Stokes coupling; and (b) the Darcy and Navier–Stokes coupling
Fig. 4. Navier–Stokes and Darcy coupling with a sharp angled interface with different parameters at T = 3
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