Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations
نویسندگان
چکیده
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 comparable accuracy to the underlying nonlinear methods.
منابع مشابه
Implicit Algorithms and their Linearisation for the Transient Incompressible Navier-Stokes Equations
The issue of appropriate time discretisation methods for the unsteady incompress-ible Navier-Stokes equations is considered from a practical perspective here. 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 linearised versions of the \pure" algorithms are analysed h...
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