Abstract
Abstract A method to solve incompressible fluid flow is proposed. The method uses primitive variables (velocity and pressure of the fluid) and introduces an idea that the discretized Navier-Stokes equations have an invariant implicitly in each iteration at any time step. As numerical examples, transient two-dimensional Poiseuille flow and steady flow past a backward-facing step are calculated. It is shown that the method needs fewer iterations than the MAC and the SMAC methods, and the accuracy of the present method is guaranteed by comparison with the analytic solution and the existing methods.
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