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A New Splitting Method for the Navier-Stokes Equation

Amattouch MR*, Nagid N and Belhadj H

This work is devoted to a robust splitting method applied to solve the time dependent incompressible Navier-Stokes equation. The proposed method is based on analytical step of computing and a vortex method easy to handle to compute the velocities and a Poisson equation to compute the pressure. The Poisson equation is solved by an optimized domain decomposition method. Several test-cases of analytical problems illustrate this approach and show the efficiency of the proposed new method