Abstract
The issue of appropriate time discretization methods for the unsteady incompressible Navier–Stokes equations is considered from a practical perspective. Conventional implicit time-stepping algorithms are not feasible for long-time simulations since they inherit the quadratic nonlinearity of the steady-state equations. As a result, two new linearized versions of the ‘pure’ algorithms are analyzed herein. These have similar stability properties and accuracy comparable to the underlying nonlinear methods.
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