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The odd-even hopscotch pressure correction scheme for the incompressible Navier-Stokes equations. (English) Zbl 0626.76035
The odd-even hopscotch (OEH) scheme, which is a time-integration technique for time-dependent partial differential equations, is applied to the incompressible Navier-Stokes equations in conservative form. In order to decouple the computation of the velocity and the pressure, the OEH scheme is combined with the pressure correction technique. The resulting scheme is referred to as the odd-even hopscotch pressure correction (OEH-PC) scheme. As a numerical example, we use the OEH-PC scheme to compute the flow through a reservoir. This contribution is based on the work reported by the author, The odd-even hopscotch pressure correction scheme for the incompressible Navier-Stokes equations, Report NM-R8615, Centre for Mathematics and Computer Science, Amsterdam (1986). We refer to that paper for a more comprehensive discussion of the OEH-PC scheme.

MSC:
76D05 Navier-Stokes equations for incompressible viscous fluids
65Z05 Applications to the sciences
76M99 Basic methods in fluid mechanics
Software:
Hopscotch; MGOO
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