A Hybrid High-Order formulation for variable-density incompressible Navier-Stokes achieves exact cell-wise volume conservation and pure density advection using hybrid spaces and ESDIRK time stepping.
A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow.Journal of Computational Physics, 419:109671, 2020
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A HHO formulation for variable density incompressible flows where the density is purely advected
A Hybrid High-Order formulation for variable-density incompressible Navier-Stokes achieves exact cell-wise volume conservation and pure density advection using hybrid spaces and ESDIRK time stepping.