This paper studies and contrasts the performances of three iterative methods for computing the solution of large sparse linear systems arising in the numerical computations of incompressible Navier-Stokes equations. The emphasis is on the traditional Gauss-Seidel (GS) and Point Successive Over-relaxation (PSOR) algorithms as well as Krylov projection techniques such as Generalized Minimal Residual (GMRES). The performances of these three solvers for the second-order ï¬nite difference algebraic equations are comparatively studied by their application to solve a benchmark problem in Computational Fluid Dynamics (CFD). It is found that as the mesh size increases, GMRES gives the fastest convergence rate in terms of cpu time and number of itera...
Implicit methods for the calculation of unsteady flows require the solution of large, sparse non-sy...
Two Newton-like methods, i.e. the sparse finite difference Newton method and the sparse quasi-Newton...
Two Newton-like methods, i.e. the sparse finite difference Newton method and the sparse quasi-Newton...
This paper studies and contrasts the performances of three iterative methods for computing the solut...
The development of efficient iterative solution methods for the numerical solution of two- and three...
For a computational flow simulation tool to be useful in a design environment, it must be very robus...
Efficient iterative solution methods are being developed for the numerical solution of two- and thre...
Linearization of the non-linear systems arising from fully implicit schemes in computational fluid...
During the past two decades, there has been significant progress in the field of numerical simulatio...
Efficient incompressible flow simulations, using inf-sup stable pairs of finite element spaces, requ...
In this research, a comparison of the convergence rate of different basic methods is made in order t...
We present an overview of the most common numerical solution strategies for the incompressible Navie...
We discuss iterative methods for solving the algebraic systems of equations arising from linearizati...
This paper studies a new preconditioning technique for sparse systems arising from discretized parti...
The goal of this thesis is to illustrate the effectiveness of iterative methods on the discretized N...
Implicit methods for the calculation of unsteady flows require the solution of large, sparse non-sy...
Two Newton-like methods, i.e. the sparse finite difference Newton method and the sparse quasi-Newton...
Two Newton-like methods, i.e. the sparse finite difference Newton method and the sparse quasi-Newton...
This paper studies and contrasts the performances of three iterative methods for computing the solut...
The development of efficient iterative solution methods for the numerical solution of two- and three...
For a computational flow simulation tool to be useful in a design environment, it must be very robus...
Efficient iterative solution methods are being developed for the numerical solution of two- and thre...
Linearization of the non-linear systems arising from fully implicit schemes in computational fluid...
During the past two decades, there has been significant progress in the field of numerical simulatio...
Efficient incompressible flow simulations, using inf-sup stable pairs of finite element spaces, requ...
In this research, a comparison of the convergence rate of different basic methods is made in order t...
We present an overview of the most common numerical solution strategies for the incompressible Navie...
We discuss iterative methods for solving the algebraic systems of equations arising from linearizati...
This paper studies a new preconditioning technique for sparse systems arising from discretized parti...
The goal of this thesis is to illustrate the effectiveness of iterative methods on the discretized N...
Implicit methods for the calculation of unsteady flows require the solution of large, sparse non-sy...
Two Newton-like methods, i.e. the sparse finite difference Newton method and the sparse quasi-Newton...
Two Newton-like methods, i.e. the sparse finite difference Newton method and the sparse quasi-Newton...