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.
Numerical simulations of the Rayleigh-Taylor instability.Journal of Computational Physics, 75(2):253–282, 1988
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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.