Level set methods for fluid interfaces

• J. A. Sethian ^[2] ; Peter Smereka ^[1]
  1. [1] University of Michigan–Ann Arbor

     University of Michigan–Ann Arbor

     City of Ann Arbor, Estados Unidos

     
  2. [2] Department of Mathematics, University of California, Berkeley, California
• Localización: Annual review of fluid mechanics, ISSN 0066-4189, Nº. 35, 2003, págs. 341-372
• Idioma: inglés
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• Resumen

  • We provide an overview of level set methods, introduced by Osher and Sethian, 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.