Convergence of Chorin-Marsden Formula for the Navier-Stokes Equations on Convex Domains

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Abstract

We prove the convergence of the Chorin-Marsden product formula for solving the initial-boundary value problems of the Navier-Stokes equations on convex domains. As a particular case we consider the case of the half plane.  

Keywords:

Navier Stokes equation Vortex method Fractional step method Convergence.
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Convergence of Chorin-Marsden Formula for the Navier-Stokes Equations on Convex Domains. (1999). Journal of Computational Mathematics, 17(1), 73-88. https://global-sci.com/index.php/JCM/article/view/11309