Home / Store / Journals / Electronic Articles / Nuclear Science and Engineering / Volume 105 / Number 2 / Pages 136-141
Hrabri L. Rajic, Youcef Saad
Nuclear Science and Engineering / Volume 105 / Number 2 / Pages 136-141
Format:electronic copy (download)
A robust, fast, and powerful technique, based on Krylov subspace methods, is presented for solving large nonlinear equations of the form F(u) = 0. The main methods investigated are (a) a standard Newton approach coupled with a direct or iterative sparse solver and (b) a Jacobian-free Krylov subspace Newton method. The methods are applied to fluid dynamics problems. In all tested cases, the Jacobian-free Krylov subspace methods based on a nonlinear Generalized Minimum Residual (GMRES) technique show better performance when compared with the standard Newton technique. The importance of selective preconditioners for improving the convergence is demonstrated. The two-dimensional driven cavity problem is solved for Reynolds number 3000, starting from the zero initial guess, using the nonlinear GMRES technique with the line search backtracking.
Your cart is empty.
Home|Invoice Payment|Nuclear Links