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Journal of Scientific Computing

Erschienen in:

29.07.2017

Evaluation of Fully Implicit Runge Kutta Schemes for Unsteady Flow Calculations

verfasst von: Antony Jameson

Erschienen in: Journal of Scientific Computing | Ausgabe 2-3/2017

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Abstract

This paper presents the formulation of a dual time stepping procedure to solve the equations of fully implicit Runge–Kutta schemes. In particular the method is applied to Gauss and Radau 2A schemes with either two or three stages. The schemes are tested for unsteady flows over a pitching airfoil modeled by both the Euler and the unsteady Reynolds averaged Navier Stokes equations. It is concluded that the Radau 2A schemes are more robust and less computationally expensive because they require a much smaller number of inner iterations. Moreover these schemes seem to be competitive with alternative implicit schemes.

Vorheriger Artikel On a Class of Implicit–Explicit Runge–Kutta Schemes for Stiff Kinetic Equations Preserving the Navier–Stokes Limit

Nächster Artikel Offline-Enhanced Reduced Basis Method Through Adaptive Construction of the Surrogate Training Set

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Titel: Evaluation of Fully Implicit Runge Kutta Schemes for Unsteady Flow Calculations
verfasst von: Antony Jameson
Publikationsdatum: 29.07.2017
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 2-3/2017
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-017-0476-x

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