Calculation of two-phase Navier-Stokes flows using phase-field modeling
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.
high-order compact finite difference scheme
scientific article; zbMATH DE number 1384972