A level set formulation of Eulerian interface capturing methods for incompressible fluid flows. (English) Zbl 0847.76048

Summary: A level set formulation is derived for incompressible, immiscible Navier-Stokes equations separated by a free surface. The interface is identified as the zero level set of a smooth function. Eulerian finite difference methods based on this level set formulation are proposed. These methods are robust and efficient and are capable of computing interface singularities such as merging and reconnection. Numerical experiments are presented to demonstrate the effectiveness of the methods.


76M20 Finite difference methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
76V05 Reaction effects in flows
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