Montlaur et al 2017a - Revision history

Scipediacontent at 10:10, 14 June 2017

2017-06-14T10:10:42Z

Scipediacontent: Scipediacontent moved page Draft Content 701149032 to Montlaur et al 2017a

2017-05-26T08:21:40Z

Scipediacontent moved page Draft Content 701149032 to Montlaur et al 2017a

Scipediacontent: 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..."

2017-05-26T07:48:35Z

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..."

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== Abstract ==

Las ecuaciones de Navier-Stokes para flujo incompresible se interpretan como un sistema de Ecuaciones Diferenciales Algebraicas (EDA), es decir un sistema de EDOs correspondiendo a la ecuación de conservación del momento, más restricciones algebraicas correspondiendo a la condición de incompresibilidad. Se analiza la estabilidad asintótica de los métodos RungeKutta aplicados a estos sistemas EDA. Se comparan métodos de Runge-Kutta semi-ímplicitos y totalmente implícitos desde el punto de vista de orden de convergencia y de estabilidad. Ejemplos numéricos usando una formulación de Galerkin discontinuo de alto orden, con aproximaciones solenoidales, muestran la aplicabilidad d la propuesta y comparan sus cualidades con métodos clásicos para flujo incompresible. Summary 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 ==
<pdf>Media:draft_Content_701149032RR271E.pdf</pdf>

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 == Abstract ==
-Las ecuaciones de Navier-Stokes para flujo incompresible se interpretan como un sistema de Ecuaciones Diferenciales Algebraicas (EDA), es decir un sistema de EDOs correspondiendo a la ecuación de conservación del momento, más restricciones algebraicas correspondiendo a la condición de incompresibilidad. Se analiza la estabilidad asintótica de los métodos RungeKutta aplicados a estos sistemas EDA. Se comparan métodos de Runge-Kutta semi-ímplicitos y totalmente implícitos desde el punto de vista de orden de convergencia y de estabilidad. Ejemplos numéricos usando una formulación de Galerkin discontinuo de alto orden, con aproximaciones solenoidales, muestran la aplicabilidad d la propuesta y comparan sus cualidades con métodos clásicos para flujo incompresible. Summary 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.
+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 ==
 <pdf>Media:draft_Content_701149032RR271E.pdf</pdf>

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