A C-property satisfying RKDG scheme with application to the morphodynamic equations

This research defines an RKDG method that incorporates a finite difference style source discretisation and also accounts for the dual speed nature of morphodynamics. It is applied to the modelling of the morphodynamical equations through the introduction of a discontinuously represented, moving bed....

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Bibliographic Details
Main Author: Jelfs, Paul
Published: University of Reading 2008
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.501352
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Summary:This research defines an RKDG method that incorporates a finite difference style source discretisation and also accounts for the dual speed nature of morphodynamics. It is applied to the modelling of the morphodynamical equations through the introduction of a discontinuously represented, moving bed. This new C-property satisfying, scheme is given for 1D and 2D and results are given to demonstrate that, although the standard RKDG method fails to model the morphdynamic equations well it is successful with the proposed scheme.