Capillary-rise.md

+- Resolution of bifluid Stokes equations, with viscosity and density ratios of 10³ (gravity considered only for 2D and 3D Jurin's rises)
+- Linear approximation of both velocity and pressure with VMS stabilization.
+- Surface tension at the liquid/air interface with an additional dissipative term to prevent capillary wave propagation.
+- Mechanical equilibrium weakly imposed at the triple junctions following reference [J. Bruchon, Y. Liu and N. Moulin, _Finite element setting for fluid flow simulations with natural enforcement of the triple junction equilibrium_. Computers & Fluids, 171:103–121, 2018](https://www.sciencedirect.com/science/article/pii/S004579301830330X).
+- These cases come from the PhD manuscript of [L. Chevalier](https://theses.hal.science/tel-02864784)
+- Capture of the pressure discontinuity by enriching the pressure space in the elements crossed by the interface, with condensation of the associated degrees of freedom before system assembly.
+- Filtered level-set method to capture the liquid-air interface with redistancing by solving a Hamilton-Jacobi equation.
+
+# 2D and 3D Jurin's rises
+
+Capillarity is the sole driving force. Liquid rises until the equilibrium between capillary and gravitational forces is achieved.
+![capillary_rise_2D](uploads/ee4b49f962ac77ace3be8f8d1ad1eba2/capillary_rise_2D.webm)
+![capillary_rise_3D](uploads/253d7ef12d17f2188f10f99e8b33a1a9/capillary_rise_3D.webm)
+
+# 2D Capillary Rise with One Fibre
+
+The liquid rises until it reaches a steady state corresponding to a straight fluid front (zero curvature) and respects the equilibrium at triple points. The field represented in this video is viscosity.
+
+![one_fibre](uploads/ca87cff68e6524e945ee4c48d23b5d47/one_fibre.webm)
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