Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations (eBook, PDF)
eBook, PDF

Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations (eBook, PDF)

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Projection methods had been introduced in the late sixties by A. Chorin and R. Teman to decouple the computation of velocity and pressure within the time-stepping for solving the nonstationary Navier-Stokes equations. Despite the good performance of projection methods in practical computations, their success remained somewhat mysterious as the operator splitting implicitly introduces a nonphysical boundary condition for the pressure. The objectives of this monograph are twofold. First, a rigorous error analysis is presented for existing projection methods by means of relating them to so-called...

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