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Removing the stiffness from interfacial flows with surface tension. (English) Zbl 0810.76095
A new formulation is presented for computing the motion of fluid interfaces with surface tension in two-dimensional, irrotational, and incompressible fluids. Using this formulation, we give implicit time integration methods that have no high order time step stability constraint associated with surface tension and are explicit in Fourier space. The approach is based on a boundary integral formulation and applies to computing with high resolution the motion of interfaces in Hele-Shaw flows and the motion of free surfaces in inviscid flows governed by the Euler equations.

MSC:
76V05 Reaction effects in flows
76B45 Capillarity (surface tension) for incompressible inviscid fluids
76D45 Capillarity (surface tension) for incompressible viscous fluids
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76M20 Finite difference methods applied to problems in fluid mechanics
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