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Chair of Water Resources Management and Modeling of HydrosystemsErnst Trapp Award 2012

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Dr.-Ing. Ernst Trapp Award 2012

Award to honour students of civil engineering because of an excellent diploma thesis and successful and efficient studies as well as because of the interest of students and university specific issues. The award, worth 5000 Euros, has been delivered by Dr. Ernst Trapp (a TU Berlin alumni) during the diploma ceremony of civil engineering students. The first awardee received 2000 Euros, the second and third awardee received 1500 Euros.

Awardee

Lupe

Dipl.-Ing. Ilhan Özgen

Advisors

The diploma thesis "An HLLC Riemann solver based second order scheme for the shallow water equations" was carried out at  the Chair of Water Resources Management and Modeling of Hydrosystems, Department Civil Engineering, School VI Plannung, Building, Environment, Technische Universität Berlin.

Mr. Özgen was supervised by Dipl.-Ing. F. Simons, J. Hou M.Sc. and Prof. Dr.-Ing. R. Hinkelmann and examined by Prof. Dr.-Ing. R. Hinkelmann. The diploma thesis received the mark 1,0.

Sponsor / offered by

The award is offered by Dr.-Ing. Ernst Trapp.

Jury

The Jury consists of Mr. Dr. Trapp as well as three professors from the Department of Civil Engineering.

Abstract

The current diploma thesis deals with the implementation of an HLLC approximative
Riemann solver based second order scheme as well as the comparison between this
scheme and a scheme of first order accuracy concerning accuracy and numerical cost. The second order scheme is implemented in the software Hydro/Holistic Modelling System (HMS), which is developed at the Chair of Water Resources Management and Modeling of Hydrosystems at the Technische Universität Berlin. In the first part of the work, mathematical and physical basics of the scheme are described. TVD schemes which are used by this scheme to achieve second order accuracy are presented. In the second part, the implementation, especially the numerical method for setting the so-called second neighbours, the reconstruction of state variables at cell interfaces and the procedure of the scheme are described. In the last part, several test cases are presented and results are shown. Thereby it is understood, that second order accurate schemes improve the solution clearly in test cases with a propagating sharp front. Complex boundary conditions and  discontinuous geometries increase the numerical costs while the improvement of the solution by the second order scheme is relatively small.

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