New α-weighted mobility fluxes give DG schemes for degenerate-mobility Cahn-Hilliard-Navier-Stokes that are coercive under an unverified a-priori penalty bound, show optimal convergence in tests, and preserve energy, mass, and bounds only numerically.
IMA Journal of Numerical Analysis31(1), 254–280 (2009)
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On $hp$-adaptive Structure-Preservion for the Cahn--Hilliard--Navier--Stokes Equations with Degenerate Mobility
New α-weighted mobility fluxes give DG schemes for degenerate-mobility Cahn-Hilliard-Navier-Stokes that are coercive under an unverified a-priori penalty bound, show optimal convergence in tests, and preserve energy, mass, and bounds only numerically.