A Unified Fractional-Step, Artificial Compressibility and Pressure-Projection Formulation for Solving the Incompressible Navier-Stokes Equations
نویسندگان
چکیده
منابع مشابه
Exact Fractional Step Methods for Solving the Incompressible Navier-Stokes Equations
Fractional step (or projection) methods are a widely used technique for uncoupling the pressure solution in the incompressible Navier-Stokes equations while still satisfying the incompressibility constraint. Traditional fractional step methods have a time splitting error that can become quite significant if any of the terms in the momentum equation are treated implicitly. Higher order splitting...
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Numerous papers have appeared in the literature over the past thirty years discussing projection-type methods for solving the incompressible Navier-Stokes equations. A recurring difficulty encountered is the proper choice of boundary conditions for the auxiliary variables in order to obtain at least second order accuracy in the computed solution. A further issue is the formula for the pressure ...
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In this work, we derive a goal-oriented a posteriori error estimator for the error due to time discretization. As time discretization scheme we consider the fractional step theta method, that consists of three subsequent steps of the one-step theta method. In every sub-step, the full incompressible system has to be solved (in contrast to time integrators of operator splitting type). The resulti...
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ژورنال
عنوان ژورنال: Communications in Computational Physics
سال: 2014
ISSN: 1815-2406,1991-7120
DOI: 10.4208/cicp.240713.080514a