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Calculation of two-phase Navier-Stokes flows using phase-field modeling. (English) Zbl 0966.76060
The author proposes a method that allows to calculate a very thin interface in the title problem. The asymptotics of the convected phase-field interface are outlined, and it is shown how to take advantage of these asymptotics to derive simple high-order compact reconstruction and convection schemes. In many practical cases these schemes allow an accurate and useful calculation of phase-field convection with interfaces that are thinner than two cells.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76T10 Liquid-gas two-phase flows, bubbly flows
76D05 Navier-Stokes equations for incompressible viscous fluids
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
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