Loading...
Search for:
krylov-subspace-methods
0.005 seconds
Recommendations on enhancing the efficiency of algebraic multigrid preconditioned GMRES in solving coupled fluid flow equations
, Article Numerical Heat Transfer, Part B: Fundamentals ; Volume 55, Issue 3 , 2009 , Pages 232-256 ; 10407790 (ISSN) ; Darbandi, M ; Sharif University of Technology
2009
Abstract
The algebraic multigrid (AMG) algorithm as a preconditioner to the Krylov subspace methods has drawn the attention of many researchers in solving fluid flow and heat transfer problems. However, the efficient employment of this solver needs experience, because users have to quantify several important parameters. In this work, we choose a hybrid finite-volume element method and quantify the optimum magnitudes for those parameters. To generalize our results, two sets of fluid flow governing equations, the thermobuoyant flow and confined diffusion flame, are studied and the optimum values are determined. The results indicate that the AMG can be very effective if a proper storage method is chosen...
Employment of algebraic multigrid as a preconditioner to solve fully implicit mixed convection equations
, Article 44th AIAA Aerospace Sciences Meeting 2006, Reno, NV, 9 January 2006 through 12 January 2006 ; Volume 10 , 2006 , Pages 7055-7063 ; 1563478072 (ISBN); 9781563478079 (ISBN) ; Vakili, S ; Schneider, G. E ; Sharif University of Technology
2006
Abstract
The main purpose of the present work is to study the performance of an algebraic multigrid (AMG) algorithm as a preconditioner to the Krylov subspace methods, mainly GMRES methods. The method is used to solve the set of linear algebraic equations resulted from treating simultaneous simulation of fluid dynamics and heat transfer problems. The extended algorithm is fully implicit which results in a huge system of linear algebraic equations. Different parameters affecting the performance of the AMG are taken into account to enhance the performance of our extended algorithm. Because of high level of sparsity of the matrix of coefficients, the current results indicate that the AMG can be very...