A Fully Coupled Solver for Incompressible Navier–Stokes Equations using Operator Splitting
- 1 October 2003
- journal article
- research article
- Published by Taylor & Francis in International Journal of Computational Fluid Dynamics
- Vol. 17 (5) , 371-385
Abstract
The steady incompressible Navier–Stokes equations are coupled by a Poisson equation for the pressure from which the continuity equation is subtracted. The equivalence to the original N–S problem is proved. Fictitious time is added and vectorial operator-splitting is employed leaving the system coupled at each fractional-time step which allows satisfaction of the boundary conditions without introducing artificial conditions for the pressure. Conservative second-order approximations for the convective terms are employed on a staggered grid. The splitting algorithm for the 3D case is verified through an analytic solution test. The stability of the method at high values of Reynolds number is illustrated by accurate numerical solutions for the flow in a lid-driven rectangular cavity with aspect ratio 1 and 2, as well as for the flow after a back-facing step.Keywords
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