✦ LIBER ✦

Analysis of an Exact Fractional Step Method

✍ Scribed by Wang Chang; Francis Giraldo; Blair Perot

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 930 KB
Volume: 180
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.2002.7087

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✦ Synopsis

An exact fractional step or projection method for solving the incompressible Navier-Stokes equations is analyzed. The method is applied to both structured and unstructured staggered mesh schemes. There are no splitting errors associated with the method; it satisfies the incompressibility condition to machine precision and reduces the number of unknowns. The exact projection technique is demonstrated on a two-dimensional cavity flow and a multiply connected moving domain with a free surface. Its performance is compared directly to classic fractional step methods and shown to be roughly twice as efficient. Boundary conditions and the relationship of the method to streamfunction-vorticity methods are discussed.

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