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A practical implementation of high-order RKDG models for the 1D open-channel flow equations

Lookup NU author(s): Dr Georges Kesserwani

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Abstract

This paper comprises an implementation of a fourth-order Runge–Kutta discontinuous Galerkin (RKDG4)scheme for computing the open-channel flow equations. The main features of the proposed methodology are simplicity and easiness in the implementation, which may be of possible interest to water resources numerical modellers. A version of the RKDG4 is blended with the Roe Riemann solver, an adaptive high-order slope limiting procedure, and high-order source terms approximations. A comparison of the performance of the proposed method with lower-order RKDG models is performed showing a benefit of considering the RKDG4 model. The scheme is applied to computerize the Saint Venant system by considering benchmark tests that have exact solutions. Finally, numerical results are illustrated discussing the performance of the proposed high-order model.

Publication metadata

Author(s): Kesserwani G, Mosé R, Vazquez J, Ghenaim A

Publication type: Article

Publication status: Published

Journal: International Journal for Numerical Methods in Fluids

Year: 2009

Volume: 59

Issue: 12

Pages: 1389-1409

ISSN (print): 0271-2091

ISSN (electronic): 1097-0363

Publisher: John Wiley & Sons Ltd.

URL: http://dx.doi.org/10.1002/fld.1879

DOI: 10.1002/fld.1879

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