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Computation of 2D Navier–Stokes equations with moving interfaces by using GMRES

In this paper, we present a novel numerical algorithm to compute two‐dimensional (2D) viscous interfacial flows governed by the incompressible Navier–Stokes equations together with interfacial conditions. The essential idea is to use the generalized minimum residual (GMRES) method to efficiently solve the large algebraic system resulting from the temporal and spatial discretizations. With this algorithm, moving interfaces can be captured with high accuracy and viscous effects on wave motion can be studied in detail. Copyright © 2006 John Wiley & Sons, Ltd.