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A Newton-Krylov Algorithm for the Euler Equations Using Unstructured Grids
2003
41st Aerospace Sciences Meeting and Exhibit
unpublished
Preserved Fulltext
A Newton-Krylov flow solver is presented for the Euler equations on unstructured grids. The algorithm uses a preconditioned matrix-free GMRES method to solve the linear system that arises at each Newton iteration. The preconditioner is an incomplete lower-upper factorization of an approximation to the Jacobian matrix after applying the reverse Cuthill-McKee reordering. The algorithm successfully converges for a wide range of steady two-and three-dimensional aerodynamic flows. A ten-order
doi:10.2514/6.2003-274
fatcat:dtzb5vnpuncljizkz72aargnly