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Nonlinear three dimensional simulations of miscible Hele-Shaw flows using DNS of incompressible Navier-Stokes and transport equations. The code models the evolution of a diffusive interface and the instabilities that arises when a less viscous fluid pushes a more viscous one in a confined rectangular geometry. Incompressible Navier-Stokes equations coupled to a convective-diffusive equation to describe the concentration field of the particles. In its current state, the code is restricted to low Reynolds number and Peclet number of order 1000.
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