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I will discuss recent work on a new, highly parallelizable direction-splitting method proposed by J.-L. Guermond and P. Minev for solving the incompressible Navier-Stokes equations. The central idea behind this new algorithm is to replace the standard Poisson problem for the pressure correction by a series of one-dimensional second-order boundary value problems, resulting in an extremely fast solver. The method has exactly the same stability and convergence properties as the Poisson-based pressure-correction technique, either in standard or rotational form. I will also discuss some recently developed turbulence models, which are currently being implemented in this framework. Host: Jared Whitehead, CNLS and CCS-2, whitehead@lanl.gov |