Print Email Facebook Twitter Rosenbrock time integration combined with Krylov subspace enrichment for unsteady flow simulations Title Rosenbrock time integration combined with Krylov subspace enrichment for unsteady flow simulations: Unsteady aerodynamics Author Blom, David (TU Delft Aerospace Engineering) Contributor Bijl, Hester (mentor) van Zuijlen, Alexander (mentor) Birken, Philipp (mentor) Vuik, Kees (mentor) Dwight, Richard (mentor) Degree granting institution Delft University of Technology Programme Aerospace Engineering | Aerodynamics and Wind Energy Date 2013-01-11 Abstract The GMRES algorithm has been discussed to solve the linear system Ax = b for application in a flow solver. Besides the conventional GMRES algorithm, several approaches are discussed which supposedly reduce the computational costs of the method, and reduce the number of iterations needed to satisfy the convergence criteria. GMRES is one of the most popular methods for solving non-symmetric systems. The method is robust, i.e. the solution of the least squares problem always exists. GMRES does have full recurrences since the basis of the Krylov subspace needs to be stored completely. Also, orthogonalisation of new basis vectors becomes increasingly more expensive when the iterations proceed. GMRES minimizes the residual norm, as a result the residual norm decreases monotonically and the convergence is smooth. To reference this document use: http://resolver.tudelft.nl/uuid:0aeae67a-52b5-40ef-a86a-8b21d5cee18b Part of collection Student theses Document type master thesis Rights © 2013 David Blom Files PDF Blom_D.S..pdf 1.84 MB Close viewer /islandora/object/uuid:0aeae67a-52b5-40ef-a86a-8b21d5cee18b/datastream/OBJ/view