Isogeometric analysis of the isothermal NavierStokesKorteweg equations
This paper is devoted to the numerical simulation of the NavierStokesKorteweg equations, a phase-field model for water/water-vapor two-phase flows. We develop a numerical formulation based on isogeometric analysis that permits straightforward treatment of the higher-order partialdifferential operator that represents capillarity. We introduce a new refinement methodology that desensitizes the numerical solution to the computational mesh and achieves mesh invariant solutions. Finally, we present several numerical examples in two and three dimensions that illustrate the effectiveness and robustness of our approach.
isogeometric analysis navierstokeskorteweg phase-field vaporization condensation