A Vorticity Creation Algorithm for the Navier-Stokes Equations in Arbitrary Domain
We propose an algorithm of vorticity creation type for the Navier-Stokes equation in arbitrary two dimensional domains. This algorithm can be seen as a rephrasing of Chorin’s popular algorithm and one can prove its convergence in the linear case under the sole assumption that the initial enstrophy is finite. The convergence proof follows from delicate energy estimates.
KeywordsEnergy Estimate Linear Case Vorticity Field Vortex Sheet Vortex Method
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