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Level set methods for fluid interfaces. (English) Zbl 1041.76057
Lumley, John L. (ed.) et al., Annual review of fluid mechanics. Vol. 35. Palo Alto, CA: Annual Reviews (ISBN 0-8243-0735-6/hbk). Annu. Rev. Fluid Mech. 35, 341-372 (2003).
Summary: We provide an overview of level set methods for computing the solution to fluid-interface problems. These are computational techniques that rely on an implicit formulation of the interface, represented through a time-dependent initial-value partial-differential equation. We discuss the essential ideas behind the techniques, the coupling of these techniques to finite difference methods for incompressible and compressible flow, and a collection of applications including two-phase flow, ship hydrodynamics, and ink-jet-printhead design.
For the entire collection see [Zbl 1005.00021].

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
76M20 Finite difference methods applied to problems in fluid mechanics
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