(Created page with "== Abstract == Las ecuaciones de Navier-Stokes para flujo incompresible se interpretan como un sistema de Ecuaciones Diferenciales Algebraicas (EDA), es decir un sistema de E...") |
|||
(One intermediate revision by the same user not shown) | |||
Line 1: | Line 1: | ||
== Abstract == | == Abstract == | ||
− | + | The spatial discretization of the unsteady incompressible Navier-Stokes equations is stated as system of Differential Algebraic Equations (DAEs), corresponding to the conservation of momentum equation plus the constraint due to the incompressibility condition. Asymptotic stability of Runge-Kutta methods applied to the solution of the resulting index-2DAE system in analyzed, allowing a critical comparison of semi-implicit and fully implicit Runge-Kutta methods, in terms of order of convergence and stability. Numerical examples, considering a Discontinuous Galerkin formulation with piecewise solenoidal approximation, demonstrate the applicability of the approach, and compare its performance with classical methods for incompressible flows. | |
== Full document == | == Full document == | ||
<pdf>Media:draft_Content_701149032RR271E.pdf</pdf> | <pdf>Media:draft_Content_701149032RR271E.pdf</pdf> |
The spatial discretization of the unsteady incompressible Navier-Stokes equations is stated as system of Differential Algebraic Equations (DAEs), corresponding to the conservation of momentum equation plus the constraint due to the incompressibility condition. Asymptotic stability of Runge-Kutta methods applied to the solution of the resulting index-2DAE system in analyzed, allowing a critical comparison of semi-implicit and fully implicit Runge-Kutta methods, in terms of order of convergence and stability. Numerical examples, considering a Discontinuous Galerkin formulation with piecewise solenoidal approximation, demonstrate the applicability of the approach, and compare its performance with classical methods for incompressible flows.
Published on 01/01/11
Accepted on 26/05/17
Submitted on 26/05/17
Volume 27, Issue 1, 2011
Licence: CC BY-NC-SA license
Are you one of the authors of this document?