A Newton-Krylov type algorithm is designed and implemented for a pseudo compressible Navier-Stokes solver in an incompressible Cavity flow. Both GMRES and BICGSTAB (Krylov-subspace) techniques are employed for the solving the linear solver resulting from the residual linearization. ILU-0 and ILU-1 and Thomas algorithm are used for preconditioning. The results show promising convergence acceleration especially for the GMRES/ILU-1 case compared to the classic Approximate Factorization method.

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